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Electrical Response of Ionic Conductors

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Part of the book series: Topics in Applied Physics ((TAP,volume 132))

Abstract

In spite of the vast amount of studies devoted during the past decades to understanding the dynamics of ions in ionically conducting materials, it is still unsettled to remain an open and challenging problem [1–4]. Since the charge transport in these materials is mainly due to the mobile ions, the measurement, analysis, and theoretical interpretation of their response to an applied electric field constitute the method as well as the key to gain insights into the dynamics of the mobile ions [1–6], which ultimately determines the conductivity. Most remarkable is the fact that, overall, the electrical response in all molten, glassy, liquid, or even crystalline ionically conducting materials, shows similar properties and universal features [3, 7, 8]. Though at the present time there is not a generally accepted theory for the description of the microscopic motion of ions, it is generally agreed that a disordered structure and Coulomb interactions among ions play an essential role in determining the dynamics of mobile ions and its complex properties and behaviour [1, 9–11]. Note that even in the case of crystalline ionic conductors the mobile ions experience a disordered potential landscape since there are significantly fewer ions than available sites with similar energies for them to occupy, and the mobile ions are usually randomly distributed in the structure, like in an ionic glass or molten salt [1]. This is true at least for fast ionic conductors with a high density of mobile ions and vacant available unoccupied sites.

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References

  1. K.L. Ngai, C.T. Moynihan, MRS Bull. 23, 51 (1998)

    Article  CAS  Google Scholar 

  2. J.C. Dyre, P. Maass, B. Roling, D.L. Sidebottom, Rep. Prog. Phys. 72, 046501 (2009)

    Article  CAS  Google Scholar 

  3. C. Angell, Annu. Rev. Phys. Chem. 43, 693 (1992)

    Article  CAS  Google Scholar 

  4. C. Angell, Chem. Rev. 90, 523 (1990)

    Article  CAS  Google Scholar 

  5. C.T. Moynihan, J. Non-Cryst. Solids 172–174, 1395 (1994)

    Article  Google Scholar 

  6. C.T. Moynihan, J. Non-Cryst. Solids 203, 359 (1996)

    Article  CAS  Google Scholar 

  7. K.L. Ngai, J. Habasaki, C. León, A. Rivera, Z. Phys. Chem. 219, 47 (2005)

    Article  CAS  Google Scholar 

  8. K.L. Ngai, J. Non-Cryst. Solids 203, 232 (1996)

    Article  CAS  Google Scholar 

  9. J. Dyre, T. Schrøder, Rev. Mod. Phys. 72, 873 (2000)

    Article  Google Scholar 

  10. W. Dieterich, P. Maass, Zeitschrift Für Phys. Chemie 223, 1187 (2009)

    Article  CAS  Google Scholar 

  11. R. Syed, D.L. Gavin, C.T. Moynihan, J. Am. Ceram. Soc. 65, c129 (1982)

    Article  CAS  Google Scholar 

  12. G.N. Greaves, K.L. Ngai, Phys. Rev. B 52, 6358 (1995)

    Article  CAS  Google Scholar 

  13. K.L. Ngai, G.N. Greaves, C.T. Moynihan, Phys. Rev. Lett. 80, 1018 (1998)

    Article  CAS  Google Scholar 

  14. K. Funke, R.D. Banhatti, D.M. Laughman, L.G. Badr, M. Mutke, A. Santic, W. Wrobel, E.M. Fellberg, C. Biermann, Z. Phys. Chem. 224, 1891 (2010)

    Article  CAS  Google Scholar 

  15. J. Kincs, S. Martin, Phys. Rev. Lett. 76, 70 (1996)

    Article  CAS  Google Scholar 

  16. M. Menetrier, A. Hojjaji, C. Estournes, A. Levasseur, Solid State Ionics 48, 325 (1991)

    Article  CAS  Google Scholar 

  17. F.S. Howell, R.A. Bose, P.B. Macedo, C.T. Moynihan, J. Phys. Chem. 78, 639 (1974)

    Article  CAS  Google Scholar 

  18. C.T. Moynihan, L.P. Boesch, N.L. Laberge, Phys. Chem. Glasses 14, 122 (1973)

    CAS  Google Scholar 

  19. C.L. Babcock, J. Am. Ceram. Soc. 17, 329 (1934)

    Article  CAS  Google Scholar 

  20. J.H. Simmons, P.B. Elterman, C.J. Simmons, R.K. Mohr, J. Am. Ceram. Soc. 62, 158 (1979)

    Article  CAS  Google Scholar 

  21. A. Rivera, E. Rössler, Phys. Rev. B 73, 212201 (2006)

    Article  CAS  Google Scholar 

  22. K.L. Ngai, Phil. Mag. B 77, 187 (http://www.tandfonline.com) (1998)

  23. C. León, M.L. Lucia, J. Santamaria, F. Sanchez-Quesada, Phys. Rev. B 57, 41 (1998)

    Article  Google Scholar 

  24. M.S. Whittingham, R.A. Higgins, J. Chem. Phys. 54, 414 (1971)

    Article  CAS  Google Scholar 

  25. P.B. Macedo, C.T. Moynihan, R. Bose, Phys. Chem. Glasses 13, 171 (1972)

    CAS  Google Scholar 

  26. R. Richert, H. Wagner, Solid State Ionics 105, 167 (1998)

    Article  CAS  Google Scholar 

  27. P. Lunkenheimer, A. Pimenov, A. Loidl, Phys. Rev. Lett. 78, 2995 (1997)

    Article  CAS  Google Scholar 

  28. P. Lunkenheimer, Dielectric Spectroscopy of Glassy Dynamics (Aachen, Shaker, 1999)

    Google Scholar 

  29. I.M. Hodge, K.L. Ngai, C.T. Moynihan, J. Non-Cryst. Solids 351, 104 (2005)

    Article  CAS  Google Scholar 

  30. C.T. Moynihan, Solid State Ionics 105, 175 (1998)

    Article  CAS  Google Scholar 

  31. K.L. Ngai, C. León, Phys. Rev. B 60, 9396 (1999)

    Article  CAS  Google Scholar 

  32. K.L. Ngai, R.W. Rendell, Phys. Rev. B 61, 9393 (2000)

    Article  CAS  Google Scholar 

  33. G. Jarosz, M. Mierzwa, J. Ziolo, M. Paluch, H. Shirota, K.L. Ngai, J. Phys. Chem. B 115, 12709 (2011)

    Article  CAS  Google Scholar 

  34. Z. Wojnarowska, A. Swiety-Pospiech, K. Grzybowska, L. Hawelek, M. Paluch, K.L. Ngai, J. Chem. Phys. 136, 164507 (2012)

    Article  CAS  Google Scholar 

  35. J. Wong, C. Angell, Glass: Structure by Spectroscopy (Dekker, New York, 1976), p. 750

    Google Scholar 

  36. G.C. Garton, Discuss. Farad. Soc. A 42, 161 (1946)

    Google Scholar 

  37. A.E. Owen, Prog. Ceram. Sci. 3, 77 (1963)

    CAS  Google Scholar 

  38. J.M. Stevels, Handbuch Phys. 20, 372 (1957)

    Google Scholar 

  39. A.K. Jonscher, Dielectric Relaxation in Solids (Chelsea Dielectric Press, London, 1983)

    Google Scholar 

  40. A.S. Nowick, A.V. Vaysleyb, W. Liu, Solid State Ionics 105, 121 (1998)

    Article  CAS  Google Scholar 

  41. X. Lu, H. Jain, J. Phys. Chem. Solids 55, 1433 (1994)

    Article  CAS  Google Scholar 

  42. A.S. Nowick, B.S. Lim, A.V. Vaysleb, J. Non-Cryst. Solids 172–174, 1243 (1994)

    Article  Google Scholar 

  43. K.L. Ngai, J. Chem. Phys. 110, 10576 (1999)

    Google Scholar 

  44. K.L. Ngai, C. León, Phys. Rev. B 66, 064308 (2002)

    Article  CAS  Google Scholar 

  45. K.L. Ngai, J. Habasaki, Y. Hiwatari, C. León, J. Phys. Condens. Matter 15, S1607 (2003)

    Article  CAS  Google Scholar 

  46. C. León, A. Rivera, A. Várez, J. Sanz, J. Santamaria, K.L. Ngai, Phys. Rev. Lett. 86, 1279 (2001)

    Article  CAS  Google Scholar 

  47. A.K. Rizos, J. Alifragis, K.L. Ngai, P. Heitjans, J. Chem. Phys. 114, 931 (2001)

    Article  CAS  Google Scholar 

  48. A. Rivera, C. León, C.P.E. Varsamis, G.D. Chryssikos, K.L. Ngai, C.M. Roland, L.J. Buckley, Phys. Rev. Lett. 88, 125902 (2002)

    Article  CAS  Google Scholar 

  49. K. Funke, R.D. Banhatti, L.G. Badr, D.M. Laughman, H. Jain, J. Electroceram. 34, 4 (2015)

    Article  Google Scholar 

  50. K.L. Ngai, A.K. Jonscher, C.T. White, Nature 277, 185 (1979)

    Article  CAS  Google Scholar 

  51. K.L. Ngai, Phys. Rev. B 22, 2066 (1980)

    Article  CAS  Google Scholar 

  52. A. Pimenov, P. Lunkenheimer, H. Rall, R. Kohlhaus, A. Loidl, Phys. Rev. E 54, 676 (1996)

    Article  CAS  Google Scholar 

  53. K.L. Ngai, J. Phys. Condens. Matter 15, S1107 (2003)

    Article  CAS  Google Scholar 

  54. K.L. Ngai, U. Strom, Phys. Rev. B38, 10350 (1988)

    Article  Google Scholar 

  55. C. León, J. Santamaria, M.A. Paris, J. Sanz, J. Ibarra, L.M. Torres, Phys. Rev. B56, 5302 (1997)

    Article  Google Scholar 

  56. C. León, M.L. Lucia, J. Santamaria, F. Sanchez-Quesada, Phys. Rev. B57, 41 (1998)

    Article  Google Scholar 

  57. K.L. Ngai, J. Chem. Phys. 110, 10576 (1999)

    Article  CAS  Google Scholar 

  58. D.L. Sidebottom, P.F. Green, R.K. Brow, Phys. Rev. Lett. 74, 5068 (1995)

    Google Scholar 

  59. D.L. Sidebottom, P.F. Green, R.K. Brow, J. Non-Cryst. Solids 203, 300 (1996)

    Article  CAS  Google Scholar 

  60. K.L. Ngai, Relaxation and Diffusion in Complex Systems (Springer, New York, 2011)

    Book  Google Scholar 

  61. S. Capaccioli, M.S. Thayyil, K.L. Ngai, J. Phys. Chem. B 112, 16035 (2008)

    Article  CAS  Google Scholar 

  62. K.L. Ngai, AIP Conf. Proc. 708, 515 (2004)

    Google Scholar 

  63. K.L. Ngai, Philos. Mag. 84, 1341 (2004)

    Article  CAS  Google Scholar 

  64. J. Habasaki, K.L. Ngai, Y. Hiwatari, J. Chem. Phys. 121, 925 (2004)

    Article  CAS  Google Scholar 

  65. J. Habasaki, K.L. Ngai, Y. Hiwatari, Phys. Rev. E66, 021205 (2002)

    Google Scholar 

  66. J. Habasaki, K.L. Ngai, J. Non-Cryst. Solids 352, 5170 (2006)

    Article  CAS  Google Scholar 

  67. R. Kohlrausch, Theorie des elektrischen Rückstandes in der Leidener Flasche; R. von Kohlrausch, Pogg. Ann. Phys. Chem. 91, 179–214 (1854)

    Google Scholar 

  68. R. Kohlrausch, Pogg. Ann. Phys. Chem. 91, 56 (1854)

    Article  Google Scholar 

  69. K.L. Ngai, C. León, J. Non-Cryst. Solids 315, 124 (2003)

    Article  CAS  Google Scholar 

  70. K.L. Ngai, Solid State Ionics 5, 27 (1981)

    Article  CAS  Google Scholar 

  71. K.L. Ngai, J. Mundy, in Physics of Non-Crystalline Solids, ed. by L.D. Pye, W.C. LaCourse, H.J. Stevens (Taylor and Francis, Washington DC, 1992), p. 342

    Google Scholar 

  72. C.T. Moynihan, Solid State Ionics 105, 75 (1998)

    Article  Google Scholar 

  73. J.F. Cordaro, M. Tomozawa, J. J. Am. Ceram. Soc. 64, 713 (1981)

    Article  CAS  Google Scholar 

  74. D.L. Sidebottom, Phys. Rev. Lett. 82, 3653 (1999)

    Article  CAS  Google Scholar 

  75. L.P. Boesch, C.T. Moynihan, J. Non-Cryst. Solids 17, 44 (1975)

    Article  CAS  Google Scholar 

  76. B. Roling, Solid State Ionics 105, 185 (1998)

    Article  CAS  Google Scholar 

  77. B. Roling, A. Happe, K. Funke, M.D. Ingram, Phys. Rev. Lett. 78, 2160 (1997)

    Article  CAS  Google Scholar 

  78. D.L. Sidebottom, B. Roling, K. Funke, Phys. Rev. B 63, 024301 (2000)

    Article  Google Scholar 

  79. D.L. Sidebottom, Rev. Mod. Phys. 81, 999 (2009)

    Article  Google Scholar 

  80. D.L. Sidebottom, J. Zhang, Phys. Rev. B 62, 5503 (2000)

    Article  CAS  Google Scholar 

  81. D.L. Sidebottom, P.F. Green, R.K. Brow, Phys. Rev. B 56, 170 (1997)

    Article  CAS  Google Scholar 

  82. C. León, P. Lunkenheimer, K. Ngai, Phys. Rev. B 64, 184304 (2001)

    Article  CAS  Google Scholar 

  83. A. Pimenov, J. Ullrich, P. Lunkenheimer, A. Loidl, C.H. Rüscher, Solid State Ionics 109, 111 (1998)

    Article  CAS  Google Scholar 

  84. H.K. Patel, S.W. Martin, Solid State Ionics 53–56, 1148 (1992)

    Article  Google Scholar 

  85. H.K. Patel, S.W. Martin, Phys. Rev. B 45, 10292 (1992)

    Article  CAS  Google Scholar 

  86. H.K. Patel, Ph.D. thesis, Iowa State University, Ames, Iowa, 1993

    Google Scholar 

  87. K.L. Ngai, J.N. Mundy, H. Jain, O. Kanert, G. Balzer-Jöllenbeck, Phys. Rev. B39, 6169 (1989)

    Article  Google Scholar 

  88. H. Jain, S. Krishnaswami, Solid State Ionics 105, 129 (1998)

    Article  CAS  Google Scholar 

  89. P. Maass, J. Petersen, A. Bunde, W. Dieterich, H.E. Roman, Phys. Rev. Lett. 66, 52 (1991)

    Article  Google Scholar 

  90. D. Knodler, W. Dieterich, Physica (Amsterdam) 191A, 426 (1992)

    Article  Google Scholar 

  91. J. Petersen, W. Dieterich, Philos. Mag. 65, 231 (1992)

    Article  CAS  Google Scholar 

  92. M. Meyer, P. Maass, A. Bunde, Phys. Rev. Lett. 71, 573 (1993)

    Article  CAS  Google Scholar 

  93. P. Maass, M. Meyer, A. Bunde, Phys. Rev. B51, 8164 (1995)

    Article  Google Scholar 

  94. P.K. Dixon, Phys. Rev. B 42, 8179 (1990)

    Article  CAS  Google Scholar 

  95. G. Williams, D.C. Watts, S.B. Dev, A.M. North, Trans. Faraday Soc. 67, 1323 (1971)

    Article  CAS  Google Scholar 

  96. K.L. Ngai, Comment Solid State Phys. 9, 127 (1979)

    Google Scholar 

  97. K.L. Ngai, R.W. Rendell, H. Jain, Phys. Rev. B 30, 2133 (1984)

    Article  CAS  Google Scholar 

  98. K.L. Ngai, J. Chem. Phys. 98, 6426 (1993)

    Google Scholar 

  99. K.L. Ngai, Phys. Rev. B48, 13481 (1993)

    Article  Google Scholar 

  100. K.L. Ngai, U. Strom, Phys. Rev. B 38, 10350 (1988)

    Article  CAS  Google Scholar 

  101. K.L. Ngai, O. Kanert, Solid State Ionics 53–55, 936 (1992)

    Article  Google Scholar 

  102. K.L. Ngai, J. Phys. (Paris) Colloq. C2, 2, 61 (1992)

    Google Scholar 

  103. K.L. Ngai, A.K. Rizos, Phys. Rev. Lett. 76, 1296 (1996)

    Article  CAS  Google Scholar 

  104. K.L. Ngai, S.W. Martin, Phys. Rev. B 40, 10550 (1989)

    Article  CAS  Google Scholar 

  105. P. Jund, W. Kob, R. Jullien, Phys. Rev. B 64, 134303 (2001)

    Article  CAS  Google Scholar 

  106. A. Heuer, M. Kunow, M. Vogel, R.D. Banhatti, Phys. Chem. Chem. Phys. 4, 3185 (2002)

    Article  CAS  Google Scholar 

  107. A.K. Jonscher, J. Mater. Sci. 13, 553 (1978)

    Article  CAS  Google Scholar 

  108. A. Burns, G.D. Chryssikos, E. Tombari, R.H. Cole, W.M. Risen, Phys. Chem. Glasses 30, 264 (1989)

    CAS  Google Scholar 

  109. K.L. Ngai, Y. Wang, C.T. Moynihan, J. Non-Cryst. Solids 307–310, 999 (2002)

    Article  Google Scholar 

  110. P. Maass, J. Non-Cryst. Solids 255, 35 (1999)

    Article  CAS  Google Scholar 

  111. W.C. Hasz, C.T. Moynihan, J. Non-Cryst. Solids 172–174, 1363 (1994)

    Article  Google Scholar 

  112. A. Rivera, J. Santamaría, C. León, T. Blochowicz, C. Gainaru, E.A. Rössler, Appl. Phys. Lett. 82, 2425 (2003)

    Article  CAS  Google Scholar 

  113. C. León, J. Habasaki, K.L. Ngai, Z. Phys. Chem. 223, 1131 (2009)

    Article  CAS  Google Scholar 

  114. D.J. Plazek, J. Rheology 40, 987 (1996)

    Article  CAS  Google Scholar 

  115. K.L. Ngai, D.J. Plazek, Macromolecules 47, 8056 (2014)

    Article  CAS  Google Scholar 

  116. J.L. Barton, Verres Refract. 20, 328 (1966)

    CAS  Google Scholar 

  117. T. Nakajima, Annual Report, Conference on Electric Insulation and Dielectric Phenomena (National Academy of Sciences, Washington DC, 1972), p. 168

    Google Scholar 

  118. H. Namikawa, J. Non-Cryst. Solids 18, 173 (1975)

    Article  CAS  Google Scholar 

  119. R.A. Huggins, in Diffusion in Solids, Recent Developments, ed. by A.S. Nowick, J.J. Burton (Academic, New York, 1975), p. 445

    Chapter  Google Scholar 

  120. O.L. Anderson, P.A. Stuart, J. Am. Ceram. Soc. 37, 573 (1977)

    Article  Google Scholar 

  121. P.J. Wilde, C.R.A. Catlow, Solid State Ionics 112, 185 (1998)

    Article  CAS  Google Scholar 

  122. J.C. Dyre, J. Appl. Phys. 64, 2456 (1988)

    Article  Google Scholar 

  123. S.D. Baranovskii, H. Cordes, J. Chem. Phys. 111, 7546 (1999)

    Article  CAS  Google Scholar 

  124. T.B. Schrøder, J.C. Dyre, Phys. Rev. Lett. 84, 310 (2000)

    Article  Google Scholar 

  125. T.B. Schrøder, J.C. Dyre, Phys. Chem. Chem. Phys. 4, 3173 (2002)

    Article  CAS  Google Scholar 

  126. A. Hunt, J. Non-Cryst. Solids 160, 183 (1993)

    Article  CAS  Google Scholar 

  127. T. Ishii, J. Phys. Soc. Japan 76, 064603 (2007)

    Article  CAS  Google Scholar 

  128. K. Funke, Prog. Solid State Chem. 22, 111 (1993)

    Article  CAS  Google Scholar 

  129. K. Funke, Solid State Ionics 94, 27 (1997)

    Article  CAS  Google Scholar 

  130. K. Funke, D. Wilmer, Solid State Ionics 136–137, 1329 (2000)

    Article  Google Scholar 

  131. K. Funke, R.D. Banhatti, S. Brückner, C. Cramer, C. Krieger, A. Mandanici, C. Martiny, I. Ross, Phys. Chem. Chem. Phys. 4, 3155 (2002)

    Article  CAS  Google Scholar 

  132. K. Funke, R.D. Banhatti, Solid State Ionics 169, 1 (2004)

    Article  CAS  Google Scholar 

  133. R.D. Banhatti, K. Funke, Solid State Ionics 175, 661 (2004)

    Article  CAS  Google Scholar 

  134. K. Funke, R.D. Banhatti, Solid State Ionics 177, 1551 (2006)

    Article  CAS  Google Scholar 

  135. K. Funke, P. Singh, R.D. Banhatti, Phys. Chem. Chem. Phys. 9, 5582 (2007)

    Article  CAS  Google Scholar 

  136. P. Debye, H. Falkenhagen, Phys. Z. 24(121), 401 (1928)

    Google Scholar 

  137. K. Funke, Sci. Technol. Adv. Mater. 14, 043502 (2013)

    Article  CAS  Google Scholar 

  138. K. Funke, R.D. Banhatti, P. Grabowski, J. Nowinski, W. Wrobel, R. Dinnebier, O. Magdysyuk, Solid State Ionics 271, 2–9 (2015)

    Article  CAS  Google Scholar 

  139. S.J. Pas, R.D. Banhatti, K. Funke, Solid State Ionics 177, 3135–3139 (2006)

    Google Scholar 

  140. K. Funke, R.D. Banhatti, Solid State Sciences 10, 790–803 (2008)

    Article  CAS  Google Scholar 

  141. C. Cramer, S. Bruckner, Y. Gao, K. Funke, Phys. Chem. Chem. Phys. 4, 3214 (2002)

    Article  CAS  Google Scholar 

  142. P. Maass, M. Meyer, A. Bunde, W. Dieterich, Phys. Rev. Lett. 77, 1528 (1996)

    Article  CAS  Google Scholar 

  143. P. Maass, M. Meyer, A. Bunde, Phys. Rev. B 51, 8164 (1995)

    Article  CAS  Google Scholar 

  144. W. Dieterich, D. Knödler, J. Petersen, Ber. Bunsenges. Physik. Chem. 95, 964 (1991)

    Article  CAS  Google Scholar 

  145. D. Knödler, P. Pendzig, W. Dieterich, Solid State Ionics 70/71, 356 (1994)

    Google Scholar 

  146. D. Knödler, P. Pendzig, W. Dieterich, Solid State Ionics 86–88, 29 (1996)

    Article  Google Scholar 

  147. K.L. Ngai, J. Chem. Phys. 109, 6982–6994 (1998)

    Article  CAS  Google Scholar 

  148. K.L. Ngai, M. Paluch, J. Chem. Phys. 120, 857 (2004)

    Article  CAS  Google Scholar 

  149. K.L. Ngai, D. Prevosto, S. Capaccioli, C.M. Roland, Phys.: Condens. Matter 20, 244125 (2008)

    Google Scholar 

  150. S. Capaccioli, M. Paluch, D. Prevosto, L.-M. Wang, K.L. Ngai, J. Phys. Chem. Lett. 3, 735 (2012)

    Article  CAS  Google Scholar 

  151. K.L. Ngai, J. Habasaki, D. Prevosto, S. Capaccioli, M. Paluch, J. Chem. Phys. 137, 034511 (2012)

    Article  CAS  Google Scholar 

  152. K.L. Ngai, J. Chem. Phys. 142, 114502 (2015)

    Article  CAS  Google Scholar 

  153. K. Funke, R.D. Banhatti, J. Non-Cryst. Solids 353, 3845 (2007)

    Article  CAS  Google Scholar 

  154. C. León, J. Habasaki, K.L. Ngai, Z. Phys. Chem. 223, 1311 (2009)

    Article  CAS  Google Scholar 

  155. J. Habasaki, I. Okada, Y. Hiwatari, J. Non-Cryst. Solids 183, 12 (1995)

    Article  CAS  Google Scholar 

  156. J. Habasaki, I. Okada, Y. Hiwatari, J. Non-Cryst. Solids 208, 181 (1996)

    Article  CAS  Google Scholar 

  157. J. Habasaki, Y. Hiwatari, Phys. Rev. B69, 144207 (2004)

    Article  CAS  Google Scholar 

  158. H. Lammert, M. Kunow, A. Heuer, Phys. Rev. Lett. 90, 215901 (2003)

    Article  CAS  Google Scholar 

  159. M. Vogel, Phys. Rev. B 70, 094302 (2004)

    Article  CAS  Google Scholar 

  160. M. Kunow, A. Heuer, Phys. Chem. Chem. Phys. 7, 2131 (2005)

    Article  CAS  Google Scholar 

  161. J. Habasaki, K.L. Ngai, Phys. Chem. Chem. Phys. 9, 4673 (2007)

    Article  CAS  Google Scholar 

  162. J. Habasaki, K.L. Ngai, J. Chem. Phys. 129, 194501 (2008)

    Article  CAS  Google Scholar 

  163. J. Habasaki, K.L. Ngai, J. Chem. Phys. 129, 034503 (2008)

    Article  CAS  Google Scholar 

  164. J. Habasaki, K.L. Ngai, J. Chem. Phys. 139, 064503 (2013)

    Article  CAS  Google Scholar 

  165. J. Habasaki, K.L. Ngai, J Electroceram 34, 43–56 (2015)

    Article  CAS  Google Scholar 

  166. G.F. Signorini, J.-L. Barrat, M.L. Klein, J. Chem. Phys. 92, 1294 (1990)

    Article  CAS  Google Scholar 

  167. M.C.C. Ribeiro, Phys. Rev. B 63, 094205 (2001)

    Article  CAS  Google Scholar 

  168. J. Habasaki, K.L. Ngai, Anal. Sci. 24, 1321 (2008)

    Article  CAS  Google Scholar 

  169. M.G. Del Popolo, G.A. Voth, J. Phys. Chem. B 108, 1744 (2004)

    Article  CAS  Google Scholar 

  170. T.I. Morrow, E.J. Maginn, J. Phys. Chem. B 106, 12807 (2002)

    Article  CAS  Google Scholar 

  171. J.N.C. Lopes, J. Deschamps, A.A.H. Padua, J. Phys. Chem. 108, 2038 (2004)

    Article  CAS  Google Scholar 

  172. C.G. Hanke, S.L. Price, R.M. Lynden-Bell, Mol. Phys. 99, 801 (2001)

    Article  CAS  Google Scholar 

  173. C.J. Margulis, Mol. Phys. 102, 829 (2004)

    Article  CAS  Google Scholar 

  174. Y. Wang, S. Izvekov, T. Yan, G.A. Voth, J. Phys. Chem. B 110, 3564–3575 (2006)

    Article  CAS  Google Scholar 

  175. Y. Umebayashi, W.-L. Chung, T. Mitsugi, S. Fukuda, M. Takeuchi, K. Fujii, T. Takamuku, R. Kanzaki, S. Ishiguro, J. Comput. Chem. Jpn 7(4), 125 (2008)

    Article  CAS  Google Scholar 

  176. J. Habasaki, R. Casalini, K.L. Ngai, J. Phys. Chem. B 114, 3902 (2010)

    Article  CAS  Google Scholar 

  177. J. Habasaki, K.L. Ngai, J. Non-Cryst. Solids 357, 446 (2011)

    Article  CAS  Google Scholar 

  178. A.L. Lichtenberg, M.A. Lieberman, Regular and Chaotic Dynamics (Springer, New York, 1992)

    Book  Google Scholar 

  179. M. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer, Berlin, 1990)

    Book  Google Scholar 

  180. K.L. Ngai, Comment Solid State Phys. 9, 127 (1980)

    Google Scholar 

  181. K.L. Ngai, Comment Solid State Phys. 9, 141 (1980)

    CAS  Google Scholar 

  182. K.L. Ngai, C.T. White, Phys. Rev. B 20, 2475 (1979)

    Article  CAS  Google Scholar 

  183. A.K. Rajagopal, K.L. Ngai, S. Teitler, J. Phys. C 17, 6611 (1984)

    Article  CAS  Google Scholar 

  184. K.L. Ngai, S.L. Peng, K.Y. Tsang, Physica A 191, 523 (1992)

    Article  Google Scholar 

  185. K.L. Ngai, C.M. Roland, G.N. Greaves, J. Non-Cryst. Solids 182, 172 (1995)

    Article  CAS  Google Scholar 

  186. K.Y. Tsang, K.L. Ngai, Phys. Rev. E 54, R3067 (1996)

    Article  CAS  Google Scholar 

  187. K.Y. Tsang, K.L. Ngai, Phys. Rev. E 56, R17 (1997)

    Article  CAS  Google Scholar 

  188. R.W. Rendell, Phys. Rev. E 48, R17 (1993)

    Article  Google Scholar 

  189. K.L. Ngai, K.Y. Tsang, Phys. Rev. E 60, 4511 (1999)

    Article  CAS  Google Scholar 

  190. K.L. Ngai, A.K. Rajagopal, S. Teitler, J. Chem. Phys. 88, 6088 (1988)

    Article  Google Scholar 

  191. A.K. Rajagopal, K.L. Ngai, S. Teitler, Nucl. Phys. B (Proc. Suppl.) 5A, 97 (1988)

    Google Scholar 

  192. K.L. Ngai, A.K. Rajagopal, S. Teitler, Nucl. Phys. B (Proc. Suppl.) 5A, 103 (1988)

    Google Scholar 

  193. K.L. Ngai, R.W. Rendell, J. Non-Cryst. Solids 131–133, 942 (1991)

    Article  Google Scholar 

  194. A.K. Rajagopal, K.L. Ngai, S. Teitler, J. Non-Cryst. Solids 131–133, 282 (1991)

    Google Scholar 

  195. A.K. Rajagopal, K.L. Ngai, S. Teitler, J. Chem. Phys. 92, 243 (1990)

    Article  CAS  Google Scholar 

  196. M. Berry, Phys. Scripta 40, 335 (1989)

    Article  CAS  Google Scholar 

  197. M.V. Berry, Semiclassical mechanics of regular and irregular motion, in Chaotic Behavior of Deterministic Systems, ed. by G. Iooss, R.H. Helleman, R. Stora. Les Houches Lectures, vol. XXXVI (North Holland, Amsterdam, 1983), pp. 171–271

    Google Scholar 

  198. O. Bohigas, M.J. Giannoni, C. Schmit, Phys. Rev. Lett. 52, 1 (1984)

    Article  Google Scholar 

  199. M.V. Berry, Proc. R. Soc. Lond. A 413, 183 (1987)

    Article  Google Scholar 

  200. O. Bohigas, Random Matrix Theories and Chaotic Dynamics, in Chaos and Quantum Physics, Les Houches Summer School Session 52, 87 (1991)

    Google Scholar 

  201. E.P. Wigner, in Statistical Properties of Real Symmetric Matrices with Many Dimensions. Proceedings of the 4th Canadian Mathematical Congress, Toronto, pp. 174–184. Toronto, Canada: University of Toronto Press (1957)

    Google Scholar 

  202. M.L. Mehta, Random Matrices, 2nd edn. (Academic, New York, 1991)

    Google Scholar 

  203. J. Dyson, J. Mat. Phys. 3, 140, 157, 166, 1191, 1199 (1962)

    Google Scholar 

  204. C.E. Porter, Statistical Theories of Spectra: Fluctuations (Academic, New York, 1965)

    Google Scholar 

  205. L.P. Gorkov, G.M. Eliashberg, Soviet Phys. JETP 21, 940 (1965)

    Google Scholar 

  206. K.L. Ngai, S. Capaccioli, J. Phys.: Condens. Matter 19, 205114 (2007)

    Google Scholar 

  207. D. Bedrov, G.D. Smith, Macromolecules 39, 8526 (2006)

    Article  CAS  Google Scholar 

  208. G.D. Smith, D. Bedrov, J. Polym, Sci.: Part B: Polym. Phys 45, 627 (2007)

    Article  CAS  Google Scholar 

  209. K.L. Ngai, R.W. Rendell, The symmetric and fully distributed solution to a generalized dining philosophers problem, in Relaxation in Complex Systems and Related Topics, ed. by I.A. Campbell, C. Giovannella (Plenum Press, New York, 1990), pp. 309–316

    Chapter  Google Scholar 

  210. G. Kolata, Science 223, 917 (1984). The Dining Philosophers Problem, a classic multi-process synchronization problem in computer science first set forth by E. Dijkstra in 1965, and reformulated by Sir Charles Anthony Richard Hoare

    Google Scholar 

  211. K. Schmidt-Rohr, H.W. Spiess, Phys. Rev. Lett. 66, 3020 (1991)

    Article  CAS  Google Scholar 

  212. E.R. Weeks, J.C. Crocker, A.C. Levitt, A. Schofield, D.A. Weitz, Science 287, 627 (2000)

    Article  CAS  Google Scholar 

  213. E.R. Weeks, D.A. Weitz, Phys. Rev. Lett. 89, 095704 (2002)

    Article  CAS  Google Scholar 

  214. T. Pakula, J. Teichmann, Mater. Res. Soc. Symp. Proc. 455, 211 (1997)

    Article  CAS  Google Scholar 

  215. P. Polanowski, T. Pakula, J. Chem. Phys. 117, 4022 (2002)

    Article  CAS  Google Scholar 

  216. F. Kohlrausch. Ueber die elastische Nachwirkung bei der Torsion. Pogg. Ann. Phys. Chem. 119, 337–368 (1863)

    Google Scholar 

  217. F. Kohlrausch. Beiträge zur Kenntniss der elastischen Nachwirkung. Pogg. Ann. Phys. Chem. 128, 1–20, 207–228, 399–419 (1866)

    Google Scholar 

  218. R.S. McKay, J.D. Meiss (eds.), Hamiltonian Dynamic Systems (Adam Hilger, Bristol, 1987)

    Google Scholar 

  219. S.W. McDonald, A.N. Kaufman, Phys. Rev. Lett. 42, 1189 (1979)

    Article  CAS  Google Scholar 

  220. G. Casati, F. Valz-Gris, I. Guarneri, Lett. Nuovo Cimento 28, 279 (1980)

    Article  Google Scholar 

  221. J.P. Keating, S. Müller, Proc. R. Soc. A 463, 3241 (2007)

    Article  Google Scholar 

  222. H.-J. Stöckmann, Quantum chaos: an introduction (Cambridge, University Press, Cambridge, UK, 1999)

    Book  Google Scholar 

  223. C. Jaffe, W.P. Reinhardt, J. Chem. Phys. 77, 5191 (1982)

    Article  CAS  Google Scholar 

  224. R.B. Shirts, W.P. Reinhardt, J. Chem. Phys. 77, 5204 (1982)

    Article  CAS  Google Scholar 

  225. K.L. Ngai, J. Phys. C 12, 6437 (2000)

    CAS  Google Scholar 

  226. S.H. Strogatz, R. Mirollo, P.C. Mathews, Phys. Rev. Lett. 68, 2730 (1992)

    Article  Google Scholar 

  227. P. Debye, Polar Molecules (Dover, New York, 1929)

    Google Scholar 

  228. J. Colmenero, A. Alegria, A. Arbe, B. Frick, Phys. Rev. Lett. 69, 478 (1992)

    Article  CAS  Google Scholar 

  229. R. Zorn, A. Arbe, J. Colmenero, B. Frick, D. Richter, U. Buchenau, Phys. Rev. E 52, 781 (1995)

    Article  CAS  Google Scholar 

  230. J. Colmenero, A. Arbe, G. Coddens, B. Frick, C. Mijangos, H. Reinecke, Phys. Rev. Lett. 78, 1928 (1997)

    Article  CAS  Google Scholar 

  231. V.G. Sakai, J.K. Maranas, Z. Chowdhuri, I. Peral, J.R.D. Copley, J. Polym. Sci. Part B Polym. Phys. 43, 2914 (2005)

    Article  CAS  Google Scholar 

  232. V.G. Sakai, J.K. Maranas, I. Peral, J.R.D. Copley, Macromolecules 41, 3701 (2008)

    Article  CAS  Google Scholar 

  233. G. Wahnström, L.J. Lewis, Phys. A 201, 150 (1993)

    Article  Google Scholar 

  234. J. Colmenero, F. Alvarez, A. Arbe, Phys. Rev. E 65, 041804 (2002)

    Article  CAS  Google Scholar 

  235. Y. Khairy, F. Alvarez, A. Arbe, J. Colmenero, Phys. Rev. E 88, 042302 (2013)

    Article  CAS  Google Scholar 

  236. A. Triolo, O. Russina, V. Arrighi, F. Juranyi, S. Janssen, C.M. Gordon, J. Chem, Phys. 119, 8549–8557 (2003)

    CAS  Google Scholar 

  237. J. Colmenero, A. Arbe, A. Alegria, Phys. Rev. Lett. 71, 2603 (1993)

    Article  CAS  Google Scholar 

  238. K.L. Ngai, J. Colmenero, A. Arbe, A. Alegria, Macromolecules 25, 6727 (1992)

    Article  CAS  Google Scholar 

  239. J. Colmenero, A. Arbe, A. Alegria, K.L. Ngai, J. Non-Cryst. Solids 172–174, 229 (1994)

    Article  Google Scholar 

  240. A. Arbe, A. Moral, A. Alegría, J. Colmenero, W. Pyckhout-Hintzen, D. Richter, B. Farago, B. Frick, J. Chem. Phys. 117, 1336 (2002)

    Google Scholar 

  241. A. Arbe, J. Colmenero, F. Alvarez, M. Monkenbusch, D. Richter, B. Farago, B. Frick, Phys. Rev. E 67, 051802 (2003)

    Google Scholar 

  242. B. Farago, A. Arbe, J. Colmenero, R. Faust, U. Buchenau, D. Richter, Phys. Rev. E 65, 051803 (2002)

    Article  CAS  Google Scholar 

  243. D. Richter, A. Arbe, J. Colmenero, M. Monkenbusch, B. Farago, R. Faust, Macromolecules 31, 1133 (1998)

    Google Scholar 

  244. J. Colmenero, A. Arbe, F. Alvarez, M. Monkenbusch, D. Richter, B. Farago, B. Frick, J. Phys.: Condens. Matter 15, S1127–S1138 (2003)

    CAS  Google Scholar 

  245. A. Arbe, J. Colmenero, M. Monkenbusch, D. Richter, Phys. Rev. Lett. 81, 590 (1998)

    Article  CAS  Google Scholar 

  246. M. Tachez, R. Mercier, J.P. Malugani, A.J. Dianoux, Solid State Ionics 20, 93 (1986)

    Google Scholar 

  247. A.J. Dianoux, M. Tachez, R. Mercier, J.P. Malugani, J. Non-Cryst. Solids 131-133, 973 (1991)

    Google Scholar 

  248. A.P. Owens, A. Pradel, M. Ribes, S.R. Elliott, J. Non-Cryst. Solids 131-133, 1104 (1991)

    Google Scholar 

  249. K.L. Ngai, O. Kanert, Solid State Ionics 53-56, 936 (1992)

    Google Scholar 

  250. P.N. Segre, P.N. Pusey, Phys. Rev. Lett. 77, 771 (1996)

    Article  CAS  Google Scholar 

  251. K.L. Ngai, G.D.J. Phillies, J. Chem. Phys. 105, 8385 (1996)

    Article  CAS  Google Scholar 

  252. K.L. Ngai, Macromol. Symp. 146(117), 776 (1999)

    Google Scholar 

  253. S.Z. Ren, W.F. Shi, W.B. Zhang, C.M. Sorensen, Phys. Rev. A 45, 2416 (1992)

    Article  CAS  Google Scholar 

  254. G.D.J. Phillies, C. Richardson, C.A. Quinlan, S.Z. Ren, Macromolecules 26, 6849 (1993)

    Google Scholar 

  255. B. Nyström, H. Walderhaug, F.N. Hansen, J. Phys. Chem. 97, 7743 (1993)

    Article  Google Scholar 

  256. K.L. Ngai, Adv. Colloid Interf. Sci. 64, 1 (1996)

    Google Scholar 

  257. M. Adam, M. Delasanti, J.P. Munch, D. Durand, Phys. Rev. Lett. 61, 706 (1988)

    Article  CAS  Google Scholar 

  258. R. Belin, G. Taillades, A. Pradel, M. Ribes, Solid State Ionics 136–137, 1025–1029 (2000)

    Google Scholar 

  259. U. Strom, J.R. Hendrickson, R.J. Wagner, P.C. Taylor, Solid State Commun. 15, 1871 (1974)

    Article  CAS  Google Scholar 

  260. U. Strom, P.C. Taylor, Phys. Rev. B 16, 5512 (1977)

    Google Scholar 

  261. C. Cramer, K. Funke, T. Saatkamp, Philos. Mag. B71, 701 (http://www.tandfonline.com) (1995)

  262. M. Tatsumisago, C.A. Angell, S.W. Martin, J. Chem. Phys. 97, 6868 (1992)

    Article  Google Scholar 

  263. C. Cramer, R. Graeber, M.D. Ingram, T. Saatkamp, D. Wilmer, K. Funke, Mater. Res. Soc. Symp. Proc. 369, 233 (1995)

    Article  CAS  Google Scholar 

  264. R. Hoppe, T. Kloidt, K. Funke, Ber. Bunsenges. Phys. Chem. 95, 1025 (1991)

    Article  CAS  Google Scholar 

  265. K.L. Ngai, C. Cramer, T. Saatkamp, K. Funke, in Non-Equilibrium Phenomena in Supercooled Fluids, Glasses and Amorphous Materials, ed. by M. Giorano, D. Leporini, M.P. Tosi (World Scientific, Singapore, 1996), pp. 3–24

    Google Scholar 

  266. A.P. Owens, A. Pradel, M. Ribes, S.R. Elliott, J. Non-Cryst. Solids 131–133, 1104 (1991)

    Article  Google Scholar 

  267. A.P. Owens, A. Pradel, M. Ribes, S.R. Elliott, Mater. Res. Soc. Symp. Proc. 210, 621 (1991)

    Article  CAS  Google Scholar 

  268. C. Cramer, M. Buscher, Solid State Ionics 105, 109 (1998)

    Article  CAS  Google Scholar 

  269. K.L. Ngai, J. Non-Cryst. Solids 248, 194 (1999)

    Article  CAS  Google Scholar 

  270. C. León, L. Lucia, J. Santamaria, Phys. Rev. B 55, 5302 (1997)

    Article  Google Scholar 

  271. R.E.W. Casselton, Phys. Status Solidi 2, 571 (1970)

    Article  CAS  Google Scholar 

  272. J.M. Dixon, L.D. LaGrange, U. Merten, C.F. Miller, J.T. Porter, J. Electrochem. Soc. 110, 276 (1963)

    Article  CAS  Google Scholar 

  273. D.W. Strickler, W.G. Carlson, J. Am. Ceram. Soc. 47, 122 (1964)

    Article  CAS  Google Scholar 

  274. H. Nafe, Solid State Ionics 13, 255 (1984)

    Article  CAS  Google Scholar 

  275. C. León, L. Lucia, J. Santamaria, Philos. Mag. B 75, 629 (1997)

    Article  Google Scholar 

  276. T.H. Etsell, S.N. Flengas, Chem. Rev. 70, 339 (1970)

    Article  CAS  Google Scholar 

  277. J.E. Bauerle, J. Hrizo, J. Phys. Chem. Solids 30, 565 (1969)

    Article  CAS  Google Scholar 

  278. S. Shin, M. Ishigame, Phys. Rev. B 34, 8875 (1986)

    Article  CAS  Google Scholar 

  279. T. Suemoto, M. Ishigame, Phys. Rev. B 33, 2757 (1986)

    Article  CAS  Google Scholar 

  280. J. Solier, I. Cachadiña, A. Dominguez-Rodriguez, Phys. Rev. B 48, 3704 (1993)

    Article  CAS  Google Scholar 

  281. A. Rivera, J. Santamarıa, C. León, Appl. Phys. Lett. 78, 610 (2001)

    Google Scholar 

  282. M. Kilo, C. Argirusis, G. Borchardt, R.A. Jackson, Phys. Chem. Chem. Phys. 5, 2219 (2003)

    Article  CAS  Google Scholar 

  283. M.D. Ingram, C.A. Vincent, A.R. Wandless, J. Non-Cryst. Solids 53, 73 (1982)

    Article  CAS  Google Scholar 

  284. S. Murugavel, Phys. Rev. B 72, 134204 (2005)

    Article  CAS  Google Scholar 

  285. M. Malki, M. Micoulaut, F. Chaimbault, Y. Vaills, Phys. Rev. Lett. 96, 145504 (2006)

    Article  CAS  Google Scholar 

  286. C. Bischoff, K. Schuller, S.P. Beckman, S.W. Martin, Phys. Rev. Lett. 109, 075901 (2012)

    Article  CAS  Google Scholar 

  287. H. Jain, N.L. Peterson, Philos. Mag. A 46, 351 (1982)

    Article  CAS  Google Scholar 

  288. H.L. Downing, N.L. Peterson, H. Jain, J. Non-Cryst. Solids 50, 203 (1982)

    Google Scholar 

  289. W. Meyer, H. Neldel, Z. Tech. 18, 588 (1937)

    CAS  Google Scholar 

  290. G.J. Dienes, J. Appl. Phys. 21, 1189 (1950)

    Article  CAS  Google Scholar 

  291. T. Dosdale, R.J. Brooks, J. Mat. Sci. 13, 167 (1978)

    Google Scholar 

  292. A. Schönhals, D. Wolff, J. Springer, Macromolecules 28, 6254 (1995)

    Google Scholar 

  293. E. Marchal, J. Non-Cryst. Solids 172-174, 902 (1994)

    Google Scholar 

  294. D.P. Almond, A.R. West, Solid State Ionics 18 &19, 1105 (1986)

    Google Scholar 

  295. A.S. Nowick, W.-K. Lee, H. Jain, Solid State Ionics 28–30, 89 (1988)

    Article  Google Scholar 

  296. K.L. Ngai, Solid State Ionics 105, 231–235 (1998)

    Article  CAS  Google Scholar 

  297. C. Liu, C.A. Angell, J. Non-Cryst. Solids 83, 162 (1986)

    Google Scholar 

  298. M.B.M. Mangion, G.P. Johari, Phys. Chem. Glasses 29, 225 (1988)

    CAS  Google Scholar 

  299. R. Krishnamurthy, Y.-G. Yoon, D.J. Srolovitz, R. Car, J. Am. Ceram. Soc. 87, 1821 (2005)

    Article  Google Scholar 

  300. E. Lee, F.B. Prinz, W. Cai, Phys. Rev. B 83, 052301 (2011)

    Article  CAS  Google Scholar 

  301. A. Tarancón, A. Morata, F. Peiró, G. Dezanneau, Fuel Cells 11, 26 (2011)

    Article  CAS  Google Scholar 

  302. R. Devanathan, W. Weber, S. Singhal, J. Gale, Solid State Ionics 177, 1251 (2006)

    Article  CAS  Google Scholar 

  303. K.-S. Chang, Y.-F. Lin, K.-L. Tung, J. Power Sources 196, 9322 (2011)

    Article  CAS  Google Scholar 

  304. K.C. Lau, B.I. Dunlap, J. Phys. Condens. Matter 23, 035401 (2011)

    Article  CAS  Google Scholar 

  305. T.J. Pennycook, M.J. Beck, K. Varga, M. Varela, S.J. Pennycook, S.T. Pantelides, Phys. Rev. Lett. 104, 115901 (2010)

    Article  CAS  Google Scholar 

  306. T.J. Pennycook, M.P. Oxley, J. Garcia-Barriocanal, F.Y. Bruno, C. León, J. Santamaria, S.T. Pantelides, M. Varela, S.J. Pennycook, Eur. Phys. J. Appl. Phys. 54, 33507 (2011)

    Article  CAS  Google Scholar 

  307. K.L. Ngai, J. Santamaria, C. León, Eur. Phys. J. B 86, 7 (2013)

    Google Scholar 

  308. M.R. Díaz-Guillén, K. Moreno, J.A. Díaz-Guillén, A.F. Fuentes, K.L. Ngai, J. Garcia-Barriocanal, J. Santamaria, C. León, Phys. Rev. B 78, 104304 (2008)

    Article  CAS  Google Scholar 

  309. P.K. Moon, H.L. Tuller, Solid State Ionics 28–30, 470 (1988)

    Article  Google Scholar 

  310. J. Chen, J. Lian, L. Wang, R. Ewing, R. Wang, W. Pan, Phys. Rev. Lett. 88, 105901 (2002)

    Article  CAS  Google Scholar 

  311. B.J. Wuensch, K.W. Eberman, C. Heremans, E.M. Ku, P. Onnerud, E.M.E. Yeo, S.M. Haile, J.K. Stalick, J.D. Jorgensen, Solid State Ionics 129, 111 (2000)

    Article  CAS  Google Scholar 

  312. M. Pirzada, R.W. Grimes, L. Minervini, J.F. Maguire, K.E. Sickafus, Solid State Ionics 140, 201 (2001)

    Article  CAS  Google Scholar 

  313. K.J. Moreno, A.F. Fuentes, U. Amador, J. Santamaría, C. León, J. Non-Cryst. Solids 353, 3947 (2007)

    Article  CAS  Google Scholar 

  314. M.A. Subramanian, G. Aravamudan, G.V. Subba Rao, Prog. Solid State Chem. 15, 55 (1983)

    Article  CAS  Google Scholar 

  315. R.E. Williford, W.J. Weber, R. Devanathan, J.D. Gale, J. Electroceram. 3–4, 409 (1999)

    Article  Google Scholar 

  316. P. Wilde, C. Catlow, Solid State Ionics 112, 173 (1998)

    Article  CAS  Google Scholar 

  317. P. Wilde, C. Catlow, Solid State Ionics 112, 185 (1998)

    Article  CAS  Google Scholar 

  318. K. Moreno, G. Mendoza-Suárez, A.F. Fuentes, J. García-Barriocanal, C. León, J. Santamaria, Phys. Rev. B 71, 132301 (2005)

    Article  CAS  Google Scholar 

  319. J. García-Barriocanal, K.J. Moreno, G. Mendoza-Suárez, A.F. Fuentes, J. Santamaría, C. León, J. Non. Cryst. Solids 351, 2813 (2005)

    Google Scholar 

  320. C. Heremans, B.J. Wuensch, J.K. Stalick, E. Prince, J. Solid State Chem. 117, 108 (1995)

    Article  CAS  Google Scholar 

  321. T. van Dijk, A.J. Burggraaf, Phys. Status Solidi A Appl. Res. 63, 229 (1981)

    Google Scholar 

  322. K.L. Ngai, C. León, Solid State Ionics 125, 81 (1999)

    Article  CAS  Google Scholar 

  323. J. García-Barriocanal, K.J. Moreno, A.F. Fuentes, J. Santamaría, C. León, J. Non. Cryst. Solids 352, 5141 (2006)

    Google Scholar 

  324. K.J. Moreno, A.F. Fuentes, J. García-Barriocanal, C. León, J. Santamaría, J. Solid State Chem. 179, 323 (2006)

    Google Scholar 

  325. K. Moreno, A. Fuentes, M. Maczka, J. Hanuza, U. Amador, J. Santamaría, C. León, Phys. Rev. B 75, 184303 (2007)

    Article  CAS  Google Scholar 

  326. J. Díaz-Guillén, M.R. Díaz-Guillén, J.M. Almanza, A.F. Fuentes, J. Santamaría, C. León, J. Phys. Condens. Matter 19, 356212 (2007)

    Article  CAS  Google Scholar 

  327. J. Díaz-Guillén, A.F. Fuentes, M.R. Díaz-Guillén, J.M. Almanza, J. Santamaría, C. León, J. Power Sources 186, 349 (2009)

    Article  CAS  Google Scholar 

  328. H. Yamamura, Solid State Ionics 158, 359 (2003)

    Article  CAS  Google Scholar 

  329. A. Kvist, A. Lunden, Zeitschrift Fuer Naturforsch. 20a, 235 (1965)

    Google Scholar 

  330. A.R. West, J. Appl. Electrochem. 3, 327 (1973)

    Article  CAS  Google Scholar 

  331. B.A. Boukamp, R.A. Huggins, Phys. Lett. A 58, 231 (1976)

    Article  Google Scholar 

  332. J.T. Kummer, J. Inorg. Nucl. Chem. 29, 2453 (1967)

    Article  Google Scholar 

  333. H. Aono, J. Electrochem. Soc. 136, 590 (1989)

    Article  CAS  Google Scholar 

  334. S. Stramare, V. Thangadurai, W. Weppner, Chem. Mater. 15, 3974 (2003)

    Article  CAS  Google Scholar 

  335. M. Vijayakumar, Y. Inaguma, W. Mashiko, M.-P. Crosnier-Lopez, C. Bohnke, Chem. Mater. 16, 2719 (2004)

    Article  CAS  Google Scholar 

  336. A.G. Belous, G.N. Novitskaya, S.V. Polyanetskaya, Y.I. Gornikov, Neorg. Mater. 23, 470 (1987)

    CAS  Google Scholar 

  337. M. Yashima, M. Itoh, Y. Inaguma, Y. Morii, J. Am. Chem. Soc. 127, 3491 (2005)

    Article  CAS  Google Scholar 

  338. J.A. Alonso, J. Sanz, J. Santamaría, C. León, A. Várez, M.T. Fernández-Díaz, Angew. Chemie 112, 633 (2000)

    Article  Google Scholar 

  339. Y. Inaguma, C. Liquan, M. Itoh, T. Nakamura, T. Uchida, H. Ikuta, M. Wakihara, Solid State Commun. 86, 689 (1993)

    Article  CAS  Google Scholar 

  340. C. León, M. Lucia, J. Santamaria, M. París, Phys. Rev. B 54, 184 (1996)

    Article  Google Scholar 

  341. D. Qian, B. Xu, H.-M. Cho, T. Hatsukade, K.J. Carroll, Y.S. Meng, Chem. Mater. 24, 2744 (2012)

    Article  CAS  Google Scholar 

  342. Y. Inaguma, L. Cchen, M. Itoh, T. Nakamura, Solid State Ionics 70–71, 196 (1994)

    Article  Google Scholar 

  343. H. Kawai, J. Electrochem. Soc. 141, L78 (1994)

    Article  CAS  Google Scholar 

  344. J. Ibarra, A. Varez, C. León, J. Santamarıa, L.M. Torres-Martinez, J. Sanz, Solid State Ionics 134, 219 (2000)

    Google Scholar 

  345. A. Jonscher, C. León, J. Santamaria, J. Mater. Sci. 3, 4485 (1998)

    Article  Google Scholar 

  346. M.A. París, J. Sanz, C. León, J. Santamaría, J. Ibarra, A. Várez, Chem. Mater. 12, 1694 (2000)

    Article  CAS  Google Scholar 

  347. A. Rivera, C. Leon, A. Varez, M.A. Paris, J. Sanz, 310, 992 (2002)

    Google Scholar 

  348. M. Itoh, Y. Inaguma, W. Jung, L. Chen, T. Nakamura, Solid State Ionics 70–71, 203 (1994)

    Article  Google Scholar 

  349. A.G. Belous, Ionics (Kiel). 4, 360 (1998)

    Google Scholar 

  350. O. Bohnke, C. Bohnke, J. Ould Sid’Ahmed, M.P. Crosnier-Lopez, H. Duroy, F. Le Berre, J.L. Fourquet, Chem. Mater. 13, 1593 (2001)

    Article  CAS  Google Scholar 

  351. Y. Inaguma, J. Electrochem. Soc. 142, L8 (1995)

    Article  CAS  Google Scholar 

  352. G.A. Samara, Solid State Phys. 38, 1 (1984)

    CAS  Google Scholar 

  353. Y. Inaguma, M. Itoh, Solid State Ionics 86–88, 257 (1996)

    Article  Google Scholar 

  354. A. Rivera, C. León, J. Santamarıa, A. Varez, O. V’yunov, A.G. Belous, J.A. Alonso, J. Sanz, Chem. Mater. 14, 5148 (2002)

    Article  CAS  Google Scholar 

  355. R.M.V. Rao, H. Munekata, K. Shimada, M. Lippmaa, M. Kawasaki, Y. Inaguma, M. Itoh, H. Koinuma, J. Appl. Phys. 88, 3756 (2000)

    Article  CAS  Google Scholar 

  356. A. Aharony, D. Stauffer, Introduction to Percolation Theory, 2003

    Google Scholar 

  357. J. Wicks, L. Börjesson, G. Bushnell-Wye, W. Howells, R. McGreevy, Phys. Rev. Lett. 74, 726 (1995)

    Article  CAS  Google Scholar 

  358. K.L. Ngai, G. Floudas, A.K. Rizos, J. Chem. Phys. 106, 6957 (1997)

    Article  CAS  Google Scholar 

  359. R. Casalini, K.L. Ngai, C.M. Roland, Phys. Rev. B 68, 014201 (2003)

    Article  CAS  Google Scholar 

  360. C. León, J. Santamarıa, M.A. Parıs, J. Sanz, J. Ibarra, A. Várez, J. Non. Cryst. Solids 235-237, 753 (1998)

    Google Scholar 

  361. A. Rivera, J. Santamaría, C. León, K.L. Ngai, J. Phys.: Condens. Matter 15, S1633 (2003)

    CAS  Google Scholar 

  362. A. Rivera, C. León, J. Sanz, J. Santamaría, C.T. Moynihan, K.L. Ngai, Phys. Rev. B 65, 224302 (2002)

    Article  CAS  Google Scholar 

  363. H.B. Callen, T.A. Welton, Phys. Rev. 83, 34 (1951)

    Article  Google Scholar 

  364. C. León, K.L. Ngai, A. Rivera, Phys. Rev. B 69, 134303 (2004)

    Article  CAS  Google Scholar 

  365. M.A. Frechero, O.J. Durá, M.R. Díaz-Guillén, K.J. Moreno, J.A. Díaz-Guillén, J. García-Barriocanal, A. Rivera-Calzada, A.F. Fuentes, C. León, J. Non-Cryst. Solids 407, 349–354 (2015)

    Article  CAS  Google Scholar 

  366. K.L. Ngai, R.W. Rendell, C. León, J. Non-Cryst. Solids 307–310, 1039 (2002)

    Article  Google Scholar 

  367. W. Lee, J. Liu, A. Nowick, Phys. Rev. Lett. 67, 1559 (1991)

    Article  CAS  Google Scholar 

  368. H. Jain, X. Lu, J. Non-Cryst. Solids 196, 285 (1996)

    Article  CAS  Google Scholar 

  369. J.R. Macdonald, J. Chem. Phys. 115, 6192 (2001)

    Article  CAS  Google Scholar 

  370. J. Habasaki, K.L. Ngai to be published (2016)

    Google Scholar 

  371. J. Habasaki, K.L. Ngai, Y. Hiwatari, J. Chem. Phys. 122, 054507 (2005)

    Article  CAS  Google Scholar 

  372. J. Habasaki, Y. Hiwatari, Phys. Rev. E 59, 6962 (1999)

    Article  CAS  Google Scholar 

  373. C. Donati, S.C. Glotzer, P.H. Poole, W. Kob, S.J. Plimpton, Phys. Rev. E 60, 3107 (1999)

    Article  CAS  Google Scholar 

  374. A.P. Sokolov, A. Kisliuk, V.N. Novikov, K. Ngai, Phys. Rev. B 63, 172204–1 (2001)

    Article  CAS  Google Scholar 

  375. A. Kulkarni, P. Lunkenheimer, A. Loidl, Ceram. Trans. 92, 115 (1999)

    CAS  Google Scholar 

  376. M.R. Díaz-Guillén, J.A. Díaz-Guillén, A.F. Fuentes, J. Santamaría, C. León, Phys. Rev. B 82, 174304 (2010)

    Google Scholar 

  377. S. Estalji, R. Kuchler, O. Kanert, R. Bolter, H. Jain, K.L. Ngai, J. Phys. (Paris) Colloq. C2 2, 159 (1992)

    Google Scholar 

  378. O. Kanert, R. Kühler, K.L. Ngai, H. Jain, Phys. Rev. B 49, 76 (1994)

    Google Scholar 

  379. S. Estalji, O. Kanert, J. Steinert, H. Jain, K.L. Ngai, Phys. Rev. B 43, 7481 (1991)

    Google Scholar 

  380. M.R. Díaz-Guillén, M.A. Frechero, J.A. Díaz-Guillén, A.F. Fuentes, C. León, J. Electroceram. (2014)

    Google Scholar 

  381. G. Chryssikos, L. Liu, C. Varsamis, E. Kamitsos, J. Non-Cryst. Solids 235–237, 761 (1998)

    Article  Google Scholar 

  382. C.H. Hsieh, H. Jain, J. Non-Cryst. Solids 203, 293 (1996)

    Article  CAS  Google Scholar 

  383. R. Belin, A. Zerouale, A. Pradel, M. Ribes, Solid State Ionics 143, 445 (2001)

    Article  CAS  Google Scholar 

  384. C.A. Angell, Solid State Ionics 105, 15 (1998)

    Article  CAS  Google Scholar 

  385. J.E. Kelly, J.F. Cordaro, M. Tomozawa, J. Non-Cryst. Solids 41, 47 (1980)

    Article  CAS  Google Scholar 

  386. D.L. Sidebottom, P.F. Green, R.K. Brow, J. Non-Cryst. Solids 183, 151 (1995)

    Article  CAS  Google Scholar 

  387. S.W. Martin, C.A. Angell, J. Non-Cryst. Solids 83, 185 (1986)

    Article  CAS  Google Scholar 

  388. S.W. Martin, Appl. Phys. A 49, 239 (1989)

    Article  Google Scholar 

  389. P. Bordat, F. Affouard, M. Descamps, K.L. Ngai, Phys. Rev. Lett. 93, 105502 (2004)

    Article  CAS  Google Scholar 

  390. P. Bordat, F. Affouard, M. Descamps, J. Non-Cryst. Solids 352, 4630 (2006)

    Article  CAS  Google Scholar 

  391. W. Kob, H.C. Andersen, Phys. Rev. E 51, 4626 (1995)

    Article  CAS  Google Scholar 

  392. W. Kob, C. Donati, S.J. Plimpton, P.H. Poole, S.C. Glotzer, Phys. Rev. Lett. 79, 2827 (1997)

    Article  CAS  Google Scholar 

  393. Á.W. Imre, S. Voss, H. Mehrer, J. Non-Cryst. Solids 333, 231 (2004)

    Article  CAS  Google Scholar 

  394. H. Jain, N.L. Peterson, H.L. Downing, J. Non-Cryst. Solids 55, 283 (1983)

    Article  CAS  Google Scholar 

  395. Z. Siujian, S. Sakka, J. Non-Cryst. Solids 112, 347 (1989)

    Article  Google Scholar 

  396. S. Nariki, Solid State Ionics 36, 103 (1989)

    Article  CAS  Google Scholar 

  397. J. Bruce, M. Ingram, Solid State Ionics 9–10, 717 (1983)

    Article  Google Scholar 

  398. G.V. Chandrashekhar, L.M. Foster, Solid State Commun. 27, 269 (1978)

    Article  CAS  Google Scholar 

  399. G.N. Greaves, S.J. Gurman, C.R.A. Catlow, A.V. Chadwick, S. Houde-Walter, C.M.B. Henderson, B.R. Dobson, Philos. Mag. A 64, 1059 (2006)

    Article  Google Scholar 

  400. G.N. Greaves, A.V. Chadwick, M.C. Jermy, M.E. Smith, R. Zhu, J. Non-Cryst. Solids 235–237, 766 (1998)

    Article  Google Scholar 

  401. G. Greaves, Solid State Ionics 105, 243 (1998)

    Article  CAS  Google Scholar 

  402. B. Gee, H. Eckert, J. Phys. Chem. 100, 3705 (1996)

    Google Scholar 

  403. H. Eckert, Zeitschrift Für Phys. Chemie 224, 1591 (2010)

    Article  CAS  Google Scholar 

  404. J. Swenson, A. Matic, A. Brodin, L. Börjesson, W.S. Howells, Phys. Rev. B 58, 11331 (1998)

    Article  CAS  Google Scholar 

  405. C. Rau, P. Armand, A. Pradel, C.P.E. Varsamis, E.I. Kamitsos, D. Granier, A. Ibanez, E. Philippot, Phys. Rev. B 63, 184204 (2001)

    Article  CAS  Google Scholar 

  406. S. Balasubramanian, K.J. Rao, J. Phys. Chem. 97, 8835 (1993)

    Google Scholar 

  407. S. Balasubramanian, K.J. Rao, J. Non-Cryst. Solids 181, 157 (1995)

    Article  CAS  Google Scholar 

  408. T. Uchino, T. Sakka, Y. Ogata, M. Iwasaki, J. Non-Cryst. Solids 146, 26 (1992)

    Article  CAS  Google Scholar 

  409. C.T. Moynihan, N.S. Saad, D.C. Tran, A.V. Lesikar, J. Am. Ceram. Soc. 63, 458 (1980)

    Article  CAS  Google Scholar 

  410. J. Swenson, S. Adams, Phys. Rev. Lett. 90, 155507 (2003)

    Article  CAS  Google Scholar 

  411. C. Karlsson, A. Mandanici, A. Matic, J. Swenson, L. Börjesson, Phys. Rev. B 68, 064202 (2003)

    Article  CAS  Google Scholar 

  412. A. Bunde, M.D. Ingram, P. Maass, J. Non-Cryst. Solids 172–174, 1222 (1994)

    Article  Google Scholar 

  413. P. Maass, A. Bunde, M.D. Ingram, Phys. Rev. Lett. 68, 3064 (1992)

    Article  CAS  Google Scholar 

  414. S. Voss, S.V. Divinski, Á.W. Imre, H. Mehrer, J.N. Mundy, Solid State Ionics 176, 1383 (2005)

    Article  CAS  Google Scholar 

  415. P. Maass, R. Peibst, J. Non-Cryst. Solids 352, 5178 (2006)

    Article  CAS  Google Scholar 

  416. P. Scheidler, W. Kob, K. Binder, G. Parisi, Philos. Mag. B 82, 283 (2009)

    Article  Google Scholar 

  417. K.L. Ngai, Philos. Mag. B 82, 291 (2002)

    Article  CAS  Google Scholar 

  418. K.L. Ngai, J. Polym. Sci. Part B Polym. Phys. 44, 2980 (2006)

    Google Scholar 

  419. K.L. Ngai, S. Capaccioli, J. Chem. Phys. 138, 054903 (2013)

    Article  CAS  Google Scholar 

  420. J.F. Cordaro, M. Tomozawa, J. Am. Ceram. Soc. 65, c50 (1982)

    Article  CAS  Google Scholar 

  421. M. Tomozawa, J.M. Hyde, J.F. Cordaro, M. Yoshiyagawa, Phys. Chem. Glas. 33, 69 (n.d.)

    Google Scholar 

  422. T.J. Higgins, L.P. Boesch, V. Volterra, C.T. Moynihan, P.B. Macedo, J. Am. Ceram. Soc. 56, 334 (1973)

    Article  CAS  Google Scholar 

  423. J.M. Hyde, M. Tomozawa, M. Yoshiyagawa, Phys. Chem. Glas. 28, 174 (1987)

    CAS  Google Scholar 

  424. B. Roling, A. Happe, M.D. Ingram, K. Funke, J. Phys. Chem. B 103, 4122 (1999)

    Article  CAS  Google Scholar 

  425. C. Cramer, S. Brunklaus, E. Ratai, Y. Gao, Phys. Rev. Lett. 91, 266601 (2003)

    Article  CAS  Google Scholar 

  426. M. Tomozawa, J. Non-Cryst. Solids 196, 280 (1996)

    Article  CAS  Google Scholar 

  427. C.T. Moynihan, L.P. Boesch, Presented at the 79th Annual Meeting of the American Ceramic Society, Chicago, Paper 26-G-77

    Google Scholar 

  428. G.N. Greaves, C.R.A. Catlow, B. Vassal, J. Charnock, C.M.B. Henderson, R. Zhu, S. Qiao, Y. Wang, S.J. Gurman, S. Houde-Walter, IOP Conf. Proc. Ser. No. III (Institute of Physics and Physical Society, London, 1990), p. 411

    Google Scholar 

  429. F. Ali, A.V. Chadwick, G.N. Greaves, M.C. Jermy, K.L. Ngai, M.E. Smith, Solid State Nucl. Magn. Reson. 5, 133 (1995)

    Article  CAS  Google Scholar 

  430. B. Gee, H. Eckert, J. Phys. Chem. 100, 3705 (1996)

    Article  CAS  Google Scholar 

  431. J. Swenson, A. Matic, A. Brodin, L. Börjesson, W.S. Howells, Phys. Rev. B 58, 11331 (1998)

    Google Scholar 

  432. K.L. Ngai, H. Jain, Solid State Ionics 18&19, 362 (1986)

    Article  Google Scholar 

  433. W.C. Huang, H. Jain, J. Non-Cryst. Solids 212, 117 (1997)

    Google Scholar 

  434. A.R. Kulkarni, P. Lunkenheimer, A. Loidl, Mater. Chem. Phys. 63, 93 (2000)

    Article  CAS  Google Scholar 

  435. C. Karlsson, A. Mandanici, A. Matic, J. Swenson, L. Börjesson, J. Non-Cryst. Solids 307–310, 1012 (2002)

    Article  Google Scholar 

  436. L.P. Boesch, Ph.D. thesis, Catholic University of America, 1975

    Google Scholar 

  437. D.E. Day, J. Non-Cryst. Solids 21, 343 (1976)

    Article  CAS  Google Scholar 

  438. Y. Haven, B. Verkerk, Phys. Chem. Glass 6, 38 (1965)

    CAS  Google Scholar 

  439. B. Hafskjold, X. Li, J. Phys.: Condens. Matter 7, 2949 (1995)

    CAS  Google Scholar 

  440. J. Habasaki, K.L. Ngai, Y. Hiwatari, C.T. Moynihan, J. Non-Cryst. Solids 349, 223 (2004)

    Article  CAS  Google Scholar 

  441. S. Voss, F. Berkemeier, A.W. Imre, H. Mehrer, Z. Phys. Chem. 218, 1353 (2004)

    Article  CAS  Google Scholar 

  442. S. Voss, A.W. Imre, H. Mehrer, Phys. Chem. Chem. Phys. 6, 3669 (2004)

    Article  CAS  Google Scholar 

  443. R. Terai, J. Non-Cryst. Solids 6, 121 (1971)

    Article  CAS  Google Scholar 

  444. H. Scher, M. Lax, Phys. Rev. B 7, 4491 (1973)

    Article  CAS  Google Scholar 

  445. M. Lax, Rev. Mod. Phys. 32, 25 (1960)

    Article  CAS  Google Scholar 

  446. H. Scher, E. Montroll, Phys. Rev. B 12, 2455 (1975)

    Article  CAS  Google Scholar 

  447. E.W. Montroll, G.H. Weiss, J. Math. Phys. 6, 167 (1965)

    Article  Google Scholar 

  448. J. Tunaley, Phys. Rev. Lett. 33, 1037 (1974)

    Article  Google Scholar 

  449. M. Lax, H. Scher, Phys. Rev. Lett. 39, 781 (1977)

    Article  Google Scholar 

  450. A.A. Kumar, J. Heinrichs, J. Phys. C Solid State Phys. 13, 2131 (1980)

    Article  CAS  Google Scholar 

  451. J. Haus, K. Kehr, Phys. Rev. B 28, 3573 (1983)

    Article  Google Scholar 

  452. J. Klafter, R. Silbey, Phys. Rev. Lett. 44, 55 (1980)

    Article  CAS  Google Scholar 

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Habasaki, J., León, C., Ngai, K.L. (2017). Electrical Response of Ionic Conductors. In: Dynamics of Glassy, Crystalline and Liquid Ionic Conductors. Topics in Applied Physics, vol 132. Springer, Cham. https://doi.org/10.1007/978-3-319-42391-3_4

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