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Correlations and Anomalous Transport Models

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Review of Plasma Physics

Part of the book series: Reviews of Plasma Physics ((ROPP,volume 24))

Abstract

At present, the major obstacle on the way to the realization of controlled thermonuclear fusion in closed magnetic configuration devices is commonly attributed to the existence of anomalous energy losses due to particle and energy transport across a confining magnetic field. The anomalous transport of particles is usually related to the turbulent character of plasma behavior [15]. In spite of considerable effort, this problem still remains to be solved [612].

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References

  1. J. Wesson, Tokamaks (Clarendon, Oxford, 1987)

    Google Scholar 

  2. B.B. Kadomtsev, Tokamak Plasma: A Complex System (IOP, Bristol, 1992)

    Google Scholar 

  3. W. Horton, Y.-H. Ichikawa, Chaos and Structures in Nonlinear Plasmas (World Scientific, Singapore, 1994)

    Google Scholar 

  4. J. Weiland, Collective Models in Inhomogeneous Plasma: Kinetic and Advanced Fluid Theory (IOP, Bristol, 2000)

    Google Scholar 

  5. M.N. Rosenbluth, R.Z. Sagdeev (eds.), Handbook of Plasma Physics (North-Holland, Amsterdam, 1984)

    Google Scholar 

  6. P.H. Diamond, Plasma Phys. Control. Fusion 47, R35 (2005)

    Article  Google Scholar 

  7. J.A. Krommes, Phys. Rep. 360, 1–352 (2002)

    Article  ADS  Google Scholar 

  8. A. Yoshizawa, S.-I. Itoh, K. Itoh, N. Yokoi, Plasma Phys. Control. Fusion 43, R1 (2001)

    Article  Google Scholar 

  9. A. Brandenburg, Phys. Rep. 417, 1 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  10. B. Eliasson, Phys. Rep. 422, 225 (2006)

    Article  ADS  Google Scholar 

  11. P.W. Terry, Rev. Mod. Phys. 72, 109 (2000)

    Article  ADS  Google Scholar 

  12. B.D. Chandran, S.C. Cowley, Phys. Rev. Lett. 80, 3077 (1998)

    Article  ADS  Google Scholar 

  13. S. Chandrasekhar, Rev. Mod. Phys. 15, 1 (1943)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  14. N.G. van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 1981)

    MATH  Google Scholar 

  15. Y.B. Zel’dovich, A.D. Myshkis, Principles of Mathematical Physics (Nauka, Moscow, 1973)

    Google Scholar 

  16. P. Résibois, M. De Leener, Classical Kinetic Theory of Fluids (Wiley, New York, 1977)

    Google Scholar 

  17. M.B. Isichenko, Rev. Mod. Phys. 64, 961 (1992)

    Article  ADS  MathSciNet  Google Scholar 

  18. J.P. Bouchaud, A. Georges, Phys. Rep. 195, 132–292 (1990

    Article  ADS  MathSciNet  Google Scholar 

  19. J.W. Haus, K.W. Kehr, Phys. Rep. 150, 263 (1987)

    Article  ADS  Google Scholar 

  20. R. Balescu, Statistical Dynamics (Imperial College Press, London, 1997)

    MATH  Google Scholar 

  21. M.F. Shlesinger, G.M. Zaslavsky, U. Frisch, Levy Flights and Related Topics in Physics. Lecture Notes in Physics, vol. 450 (Springer, New York, 1995)

    Book  MATH  Google Scholar 

  22. R. Metzler, J. Klafter, Phys. Rep. 339, 1 (2000)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  23. A. Vedenov, E.P. Velikhov, R.Z. Sagdeev, Plasma Phys. Control. Nucl. Fusion Res. 2, 82 (1962)au]

    Google Scholar 

  24. W.E. Drummond, D. Pines, Plasma Phys. Control. Nucl. Fusion Res. 3, 1049 (1962)

    Google Scholar 

  25. A.M. Yaglom, Correlation Theory of Time-Independent Random Functions (Gidrome-teoizdat, Leningrad, 1981)

    Google Scholar 

  26. V.I. Klyatskin, Stochastic Equations by the Physicist’s Eyes (Fizmatlit, Moscow, 2001)

    Google Scholar 

  27. A.S. Monin, A.M. Yaglom, Statistical Fluid Mechanics; Mechanics of Turbulence (MIT Press, Cambridge, 1971)

    Google Scholar 

  28. F.N. Frenkiel (ed.), Atmospheric Diffusion and Air Pollution (Academic Press, New York, 1959)

    MATH  Google Scholar 

  29. W. Frost, T.H. Moulden (eds.), Handbook of Turbulence (Plenum, New York, 1977)

    Google Scholar 

  30. U. Frisch, Turbulence: The Legacy of A.N. Kolmogorov (Cambridge University Press, Cambridge, 1995)

    MATH  Google Scholar 

  31. G.I. Taylor, Proc. Lond. Math. Soc. Ser. 2 20, 196 (1921)

    Article  Google Scholar 

  32. H.K. Moffatt, J. Fluid Mech. 106, 27 (1981)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  33. H.K. Moffatt, Rep. Prog. Phys. 46, 621 (1983)

    Article  ADS  Google Scholar 

  34. S. Corrsin, Random Geometric Problems Suggested by Turbulence, in Statistical Models and Turbulence: Proceedings of a Symposium, ed. by M. Rosenblatt, C. van Atta. San Diego CA, USA, 15–21 July 1971. Lecture Notes in Physics, vol. 12 (Springer, Berlin, 1975), p. 300

    Google Scholar 

  35. Y.B. Zel’dovich, Sov. Phys. Dokl. 27, 797 (1982)

    MATH  ADS  Google Scholar 

  36. Y.B. Zel’dovich, S.A. Molchanov, A.A. Ruzmaî;kin, D.D. Sokolov, Sov. Phys. Usp. 30, 353 (1987)

    Article  ADS  Google Scholar 

  37. A.A. Galeev, M.M. Kuznetsova, L.M. Zelenyi, Space Sci. Rev. 44, 1 (1986)

    Article  ADS  Google Scholar 

  38. J.A. Krommes, Prog. Theor. Phys. Suppl. 64, 137 (1978)

    Article  ADS  Google Scholar 

  39. J.A. Krommes, J. Plasma Phys. 30, 11 (1983)

    ADS  Google Scholar 

  40. O.G. Bakunin, Plasma Phys. Control. Fusion 47, 1857 (2005)

    Article  ADS  Google Scholar 

  41. M. Avellaneda, A.J. Majda, Phys. Fluids 4, 41 (1992)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  42. O.G. Bakunin, J. Plasma Phys. 72, 647 (2006)

    Article  ADS  Google Scholar 

  43. G. Falkovich, K. Gawedzki, M. Vergassola, Rev. Mod. Phys. 73, 913 (2001)

    Article  ADS  MathSciNet  Google Scholar 

  44. S.I. Vainshtein, Magnetic Fields in Space (Nauka, Moscow, 1983)

    Google Scholar 

  45. L. Fradkin, Plasma Phys. Control. Fusion 33, 685 (1991)

    Article  ADS  Google Scholar 

  46. O.G. Bakunin, Plasma Phys. Rep. 29, 955 (2003)

    Article  ADS  Google Scholar 

  47. A. Fanjiang, J. Stat. Phys. 88, 1033 (1997)

    Article  ADS  Google Scholar 

  48. R.J. Bickerton, Plasma Phys. Control. Fusion 39, 339 (1997)

    Article  ADS  Google Scholar 

  49. D. Stauffer, Introduction to Percolation Theory (Taylor & Francis, London, 1985)

    MATH  Google Scholar 

  50. H.E. Stanley, J. Stat. Phys. 34, 843 (1984)

    Article  ADS  MathSciNet  Google Scholar 

  51. I.M. Sokolov, Sov. Phys. Usp. 29, 924 (1986)

    Article  ADS  Google Scholar 

  52. J.M. Ziman, Models of Disorder: The Theoretical Physics of Homogeneously Disordered Systems (Cambridge University Press, Cambridge, 1979)

    Google Scholar 

  53. D. Stauffer, Phys. Rep. 54, 1 (1979)

    Article  ADS  Google Scholar 

  54. R. Narayan, Phys. Rev. Lett. 42, 1247 (1999)

    Google Scholar 

  55. H.E. Stanley, J. Stat. Phys. 34, 843 (1984)

    Article  ADS  MathSciNet  Google Scholar 

  56. B.B. Mandelbrot, Fractals: Form, Chance, and Dimension (Freeman, San Francisco, 1977)

    MATH  Google Scholar 

  57. J. Feder, Fractals (Plenum, New York, 1988)

    MATH  Google Scholar 

  58. L.F. Richardson, Proc. R. Soc. Lond. Ser. A 110, 709 (1926)

    Google Scholar 

  59. G.K. Batchelor, Proc. Camb. Philos. Soc. 48, 345 (1952)

    Article  MATH  MathSciNet  Google Scholar 

  60. B.I. Davydov, C. R. Acad. Sci. USSR 2, 216 (1934)

    Google Scholar 

  61. A. Khintchine, P. Lévy, C. R. Acad. Sci. (Paris) 202, 274 (1936

    Google Scholar 

  62. A.S. Monin, Dokl. Akad. Nauk SSSR 105, 256 (1955)

    MATH  MathSciNet  Google Scholar 

  63. A.N. Kolmogorov, Dokl. Akad. Nauk SSSR 30, 299 (1941)

    ADS  Google Scholar 

  64. T.H. Dupree, Phys. Fluids 9, 1773 (1966)

    Article  ADS  MathSciNet  Google Scholar 

  65. T.H. Dupree, Phys. Fluids 10, 1049 (1967)

    Article  ADS  Google Scholar 

  66. T.H. Dupree, Phys. Fluids 15, 334 (1972)

    Article  ADS  Google Scholar 

  67. B.B. Kadomtsev, O.P. Pogutse, in Plasma Physics and Controlled Nuclear Fusion Re-search, Proceedings of the 7th International Conference, IAEA Vienna, 1978. Nuclear Fusion Supplement, vol. 1 (1979), p. 649

    ADS  Google Scholar 

  68. B.J. Berne, J. Chem. Phys. 56, 2164 (1972)

    Article  ADS  Google Scholar 

  69. G.G. Getmantsev, Sov. Astron. Rep. 6, 477 (1962)

    ADS  Google Scholar 

  70. J.R. Jokipii, E.N. Parker, Astrophys. J. 155, 777 (1969)

    Article  ADS  Google Scholar 

  71. J.B. Taylor, B. McNamara, Phys. Fluids 14, 1492 (1971)

    Article  ADS  Google Scholar 

  72. Yu.A. Dreizin, A.M. Dykhne, Sov. Phys. JETP 36, 127 (1973)

    ADS  Google Scholar 

  73. I.D. Howells, J. Fluid Mech. 9, 104 (1960)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  74. G.M. Zaslavskiî, B.V. Chirikov, Sov. Phys. Usp. 14, 549 (1972)

    Article  ADS  MATH  Google Scholar 

  75. A.B. Rechester, M.N. Rosenbluth, Phys. Rev. Lett. 40, 38 (1978)

    Article  ADS  Google Scholar 

  76. B.B. Mandelbrot, J. Fluid Mech. 72, 401 (1975)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  77. U. Frisch, P.-L. Sulem, M. Nelkin, J. Fluid Mech. 87, 719 (1978)

    Article  MATH  ADS  Google Scholar 

  78. H.G.E. Hentschel, I. Procaccia, Phys. Rev. A 29, 1461 (1984)

    Article  ADS  MathSciNet  Google Scholar 

  79. M.E. Levinshtein, B.I. Shklovsky, M.S. Shur, A.L. Efros, J. Exp. Theor. Phys. 42, 112 (1976)

    Google Scholar 

  80. M.V. Osipenko, O.P. Pogutse, N.V. Chudin, Sov. J. Plasma Phys. 13, 550 (1987)

    Google Scholar 

  81. M.N. Rosenbluth, H.L. Berk, I. Doxas, W. Horton, Phys. Fluids 30, 2636 (1987)

    Article  MATH  ADS  Google Scholar 

  82. M.B. Isichenko, Y.L. Kalda, E.V. Tatarinova, O.V. Tel’kovskaya, V.V. Yankov, Sov. Phys. JETP 69, 517 (1989)

    Google Scholar 

  83. A.V. Gruzinov, M.B. Isichenko, Y.L. Kalda, Sov. Phys. JETP 70, 263 (1990)

    Google Scholar 

  84. P.N. Yushmanov, Comments Plasma Phys. Control. Fusion 14, 313 (1992)

    Google Scholar 

  85. M.B. Isichenko, J. Kalda, J. Nonlinear Sci. 1, 255 (1991)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  86. M.B. Isichenko, J. Kalda, J. Nonlinear Sci. 1, 375 (1991)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  87. B.Y. Balagurov, V.G. Vaks, Sov. Phys. JETP 38, 968 (1974)

    ADS  Google Scholar 

  88. P. Langevin, C. R. Acad. Sci. (Paris) 146, 530 (1908)

    MATH  Google Scholar 

  89. A. Einstein, Ann. Phys. (Leipzig) 17, 549 (1905)

    Article  Google Scholar 

  90. J. Kampé de Feriet, Ann. Soc. Sci. Bruxelles 59, 145 (1939)

    MATH  Google Scholar 

  91. A.M. Obukhov, C. R. Acad. Sci. URSS 32, 19 (1941)

    Google Scholar 

  92. C. Cattaneo, Atti Semin. Mat. Fis. Univ. Modena 3, 83 (1949)

    MATH  MathSciNet  Google Scholar 

  93. S. Goldstein, Q. J. Mech. Appl. Math. 4, 129 (1951)

    Article  MATH  Google Scholar 

  94. R.W. Davies, Phys. Rev. 93, 1169 (1954)

    Article  MATH  ADS  Google Scholar 

  95. O.G. Bakunin, Phys. Usp. 46, 309 (2003)

    Article  ADS  Google Scholar 

  96. G.M. Zaslavsky, B.A. Niyazov, Phys. Rep. 283, 73 (1997)

    Article  ADS  Google Scholar 

  97. G.M. Zaslavsky, Chaos 4, 25 (1994)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  98. A. Okubo, J. Oceanol. Soc. Jpn. 20, 286 (1962)

    MathSciNet  Google Scholar 

  99. M. Smoluchowski, Phys. Z. 17, 557 (1916)

    ADS  Google Scholar 

  100. S. Chapman, Philos. Trans. R. Soc. Ser. A 216, 279 (1916)

    Article  ADS  Google Scholar 

  101. A. Kolmogoroff, Math. Ann. 104, 415 (1931)

    Article  MathSciNet  Google Scholar 

  102. A. Cauchy, C. R. Acad. Sci. (Paris) 37, 292 (1853)

    Google Scholar 

  103. L.O. Silva, Astrophys. J. Lett. 596, L121 (2006)

    Article  ADS  Google Scholar 

  104. O.V. Tel’kovskaya, K.V. Chukbar, J. Exp. Theor. Phys. 85, 87 (1997)

    Google Scholar 

  105. J. Weinstock, Phys. Fluids 19, 1702 (1976)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  106. R.H. Kraichnan, J. Fluid Mech. 81, 385 (1977)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  107. R.H. Kraichnan, Phys. Fluids 13, 22 (1970)

    Article  MATH  ADS  Google Scholar 

  108. T.S. Lundgren, Y.B. Pointin, Phys. Fluids 19, 355 (1976)

    Article  MATH  ADS  Google Scholar 

  109. J.S. Hay, F. Pasquill, Adv. Geophys. 6, 345 (1959)

    ADS  Google Scholar 

  110. Y. Kaneda, T. Ishida, J. Fluid Mech. 402, 311 (2000)

    Article  MATH  ADS  Google Scholar 

  111. A.I. Smolyakov, P.N. Yushmanov, Nucl. Fusion 33, 383 (1993)

    Article  Google Scholar 

  112. C. Cambon, F.S. Godeferd, F.C.G.A. Nicolleau, J.C. Vassilicos, J. Fluid Mech. 499, 231 (2004)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  113. D.L. Koch, J.F. Brady, Phys. Fluids A 1, 47 (1990)

    Article  ADS  Google Scholar 

  114. E.B. Tatarinova, P.A. Kalugin, A.V. Sokol, Europhys. Lett. 14, 773 (1991)

    Article  ADS  Google Scholar 

  115. O.G. Bakunin, Phys. Usp. 46, 733 (2003)

    Article  ADS  Google Scholar 

  116. M.B. Isichenko et al., Phys. Fluids B 4, 3973 (1992)

    Article  ADS  MathSciNet  Google Scholar 

  117. .I. Taylor, Proc. R. Soc. Lond. Ser. A 219, 186 (1953)

    Article  ADS  Google Scholar 

  118. G.I. Taylor, Proc. R. Soc. Lond. Ser. A 223, 446 (1954)

    Article  ADS  Google Scholar 

  119. W.R. Young, S. Jones, Phys. Fluids A 3, 1087 (1991)

    Article  ADS  Google Scholar 

  120. G. Matheron, G. de Marsily, Water Resour. Res. 16, 901 (1980)

    Article  ADS  Google Scholar 

  121. J.-P. Bouchaud et al., Phys. Rev. Lett. 64, 2503 (1990)

    Google Scholar 

  122. S. Redner, Physica D 38, 287 (1989)

    Article  ADS  MathSciNet  Google Scholar 

  123. B.B. Kadomtsev, Cooperative effects in plasmas, in Reviews of Plasma Physics, vol. 22, ed. by V.D. Shafranov (Kluwer Academic/Consultants Bureau, New York, 2001), p. 1

    Google Scholar 

  124. A.S. Kingsep, Introduction to the Nonlinear Plasma Physics (Mosk. Fiz.-Tekh. Inst., Moscow, 1996)

    Google Scholar 

  125. V.N. Tsytovich, Theory of Turbulent Plasma (Consultants Bureau, New York, 1977)

    Google Scholar 

  126. M.N. Rosenbluth, R.Z. Sagdeev, L.B. Taylor, Nucl. Fusion 6, 297 (1966

    Google Scholar 

  127. R.W. Flynn, Phys. Fluids 14, 956 (1971)

    Article  ADS  Google Scholar 

  128. K.N. Graham, J.A. Fejer, Phys. Fluids 19, 1054 (1976)

    Article  ADS  Google Scholar 

  129. F. Doveil, D. Grésillon, Phys. Fluids 25, 1396 (1982)

    Article  MATH  ADS  Google Scholar 

  130. O. Ishihara, A. Hirose, Comments Plasma Phys. Control. Fusion 8, 229 (1984)

    Google Scholar 

  131. A. Salat, Z. Naturforsch. A 38, 1189 (1983)

    MATH  ADS  Google Scholar 

  132. O. Ishihara, A. Hirose, Phys. Fluids 28, 2159 (1985)

    Article  ADS  Google Scholar 

  133. A. Salat, Phys. Fluids 31, 1499 (1988)

    Article  MATH  ADS  Google Scholar 

  134. O. Ishihara, H. Xia, A. Hirose, Phys. Fluids B 4, 349 (1992)

    Article  ADS  Google Scholar 

  135. R. Balescu, H.-D. Wang, J.H. Misguich, Phys. Plasmas 1, 3826 (1994)

    Article  ADS  Google Scholar 

  136. D. Bohm, E. Burhop, in The Characteristics of Electrical Discharges in Magnetic Fields, ed. by A. Guthrie, R.K. Wakerling (McGraw-Hill, New York, 1949)

    Google Scholar 

  137. V.S. Ptuskin, Astrophys. Space Sci. 61, 251 (1979)

    Article  ADS  Google Scholar 

  138. T.H. Stix, Nucl. Fusion 18, 353 (1978)

    ADS  Google Scholar 

  139. A.B. Rechester, M.N. Rosenbluth, R.B. White, Phys. Rev. Lett. 42, 1247 (1979)

    Article  ADS  Google Scholar 

  140. B.B. Mandelbrot, The Fractal Geometry of Nature (Freeman, San Francisco, 1982)

    MATH  Google Scholar 

  141. L.F. Richardson, in General System Yearbook of the Society for the Advancements of General System Theory, vol. 6 (The Society for General Systems Research, Ann Arbor, 1961), p. 139

    Google Scholar 

  142. J. Klafter, A. Blumen, M.F. Shlesinger, Phys. Rev. A 35, 3081 (1987)

    Article  ADS  MathSciNet  Google Scholar 

  143. W.D. McComb, The Physics of Fluid Turbulence (Clarendon, Oxford, 1994)

    Google Scholar 

  144. A. Bunde, J.F. Gouyet, J. Phys. A: Math. Gen. 18, L285 (1985)

    Article  ADS  Google Scholar 

  145. H. Saleur, B. Duplantier, Phys. Rev. Lett. 58, 2325 (1987)

    Article  ADS  MathSciNet  Google Scholar 

  146. B. Sapoval, B. Rosso, J. Gouyet, J. Phys. Lett. (Paris) 46, L149 (1985)

    Article  Google Scholar 

  147. S.A. Trugman, Phys. Rev. B 27, 7539 (1983)

    Article  ADS  Google Scholar 

  148. O.G. Bakunin, Chaos Solitons Fractals 23, 1703 (2005)

    MATH  ADS  Google Scholar 

  149. O.G. Bakunin, Physica A 345, 1 (2005)

    ADS  Google Scholar 

  150. M.B. Isichenko, Plasma Phys. Control. Fusion 33, 795 (1991)

    Article  Google Scholar 

  151. M.B. Isichenko, Plasma Phys. Control. Fusion 33, 809 (1991)

    Article  Google Scholar 

  152. M. Ottaviani, Europhys. Lett. 20, 111 (1992)

    Article  ADS  Google Scholar 

  153. J.-D. Reuss, J.H. Misguich, Phys. Rev. E 54, 1857 (1996)

    Article  ADS  Google Scholar 

  154. G. Zimbardo, P. Veltri, P. Pommois, Phys. Rev. E 61, 1940 (2000)

    Article  ADS  Google Scholar 

  155. Y.B. Zeldovich, JETP Lett. 38, 57 (1983)

    ADS  Google Scholar 

  156. O.G. Bakunin, Plasma Phys. Control. Fusion 45, 1909 (2003)

    Article  Google Scholar 

  157. O.G. Bakunin, J. Plasma Phys. 71, 435 (2005

    Article  ADS  Google Scholar 

  158. M. Vlad, F. Spineanu, J.H. Misguich, R. Balescu, Phys. Rev. E 58, 7359 (1998)

    Article  ADS  Google Scholar 

  159. M. Matsushita, S. Ouchi, K. Honda, J. Phys. Soc. Jpn. 60, 2109 (1991)

    Article  ADS  MathSciNet  Google Scholar 

  160. S. Isogami, M. Matsushita, J. Phys. Soc. Jpn. 61, 1445 (1992)

    Article  ADS  Google Scholar 

  161. J. Kondev, C.L. Henley, Phys. Rev. Lett. 74, 4580 (1995)

    Article  ADS  Google Scholar 

  162. J. Kondev, C.L. Henley, D.G. Salinas, Phys. Rev. E 61, 104 (2000)

    Article  ADS  Google Scholar 

  163. J. Kondev, G. Huber, Phys. Rev. Lett. 86, 5890 (2001)

    Article  ADS  Google Scholar 

  164. J. Kalda, Phys. Rev. E 64, 020101 (2001)

    Article  ADS  Google Scholar 

  165. J. Kalda, Phys. Rev. Lett. 90, 118501 (2003)

    Article  ADS  Google Scholar 

  166. O.G. Bakunin, Physica A 351, 241 (2005)

    Article  ADS  Google Scholar 

  167. O.G. Bakunin, T.J. Schep, Phys. Lett. A 322, 105 (2004)

    Article  MATH  ADS  Google Scholar 

  168. O.G. Bakunin, Physica A 347, 289 (2004)

    Article  ADS  Google Scholar 

  169. V.E. Kravtsov, I.V. Lerner, V.I. Yudson, Sov. Phys. JETP 64, 336 (1986)

    Google Scholar 

  170. O.G. Bakunin, Physica A 348, 245 (2005)

    Article  ADS  Google Scholar 

  171. I.A. Lubashevskiî, A.A. Zemlyanov, J. Exp. Theor. Phys. 87, 700 (1998)

    Article  ADS  Google Scholar 

  172. P.S. Iroscnikov, Astron. J. 40, 742 (1963)

    ADS  Google Scholar 

  173. R.H. Kraichnan, Phys. Fluids 8, 1385 (1965)

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

  176. P. Goldreich, S. Sridhar, Astrophys. J. 485, 680 (1997)

    Article  ADS  Google Scholar 

  177. A. Compte, J. Camacho, Phys. Rev. E 56, 5445 (1997)

    Article  ADS  Google Scholar 

  178. M.F. Shlesinger, B.J. West, J. Klafter, Phys. Rev. Lett. 58, 1100 (1987)

    Article  ADS  MathSciNet  Google Scholar 

  179. R. Balescu, Plasma Phys. Control. Fusion 42, B1 (2000)

    Article  Google Scholar 

  180. R. Balescu, Phys. Rev. E 51, 4807 (1995)

    Article  ADS  Google Scholar 

  181. O.G. Bakunin, Rep. Prog. Phys. 67, 965 (2004)

    Article  ADS  Google Scholar 

  182. K.V. Chukbar, J. Exp. Theor. Phys. 82, 719 (1996)

    ADS  Google Scholar 

  183. O. Cardoso, P. Tabeling, Europhys. Lett. 7, 225 (1988)

    Article  ADS  Google Scholar 

  184. O. Cardoso, P. Tabeling, Eur. J. Mech. B: Fluids 8, 459 (1989)

    Google Scholar 

  185. T.H. Solomon, E.R. Weeks, H.L. Swinney, Physica D 76, 70 (1994)

    Article  ADS  MATH  Google Scholar 

  186. E.R. Weeks, J.S. Urbach, H.L. Swinney, Physica D 97, 291 (1996)

    Article  Google Scholar 

  187. J.-D. Reuss, F. Spineanu, J.H. Misguich, J. Plasma Phys. 59, 707 (1998)

    Article  ADS  Google Scholar 

  188. M. Vlad, F. Spineanu, J.H. Misguich, R. Balescu, Phys. Rev. E 63, 066304 (2001)

    Article  ADS  Google Scholar 

  189. M. Vlad, F. Spineanu, J.H. Misguich, R. Balescu, Phys. Rev. E 66, 038302 (2002)

    Article  ADS  Google Scholar 

  190. H.A. Kramers, Physica 7, 284 (1940)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  191. G.M. Zaslavsky, Chaos 4, 25 (1994)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  192. A.V. Chechkin, V.Y. Gonchar, J. Exp. Theor. Phys. 91, 635 (2000)

    Article  ADS  Google Scholar 

  193. O.G. Bakunin, Plasma Phys. Rep. 29, 785 (2003)

    Article  ADS  Google Scholar 

  194. O.G. Bakunin, Plasma Phys. Rep. 30, 338 (2004)

    Article  ADS  Google Scholar 

  195. G.M. Zaslavsky, M. Edelman, Chaos 10, 135 (2000)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  196. C.F.F. Karney, Physica D 8, 360 (1983)

    Article  ADS  MathSciNet  Google Scholar 

  197. O.G. Bakunin, S.I. Krasheninnikov, Plasma Phys. Rep. 21, 502 (1995)

    ADS  Google Scholar 

  198. O.G. Bakunin, S.I. Krasheninnikov, Plasma Phys. Rep. 16, 501 (1990)

    Google Scholar 

  199. O.G. Bakunin, Phys. Lett. A 330, 22 (2004)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  200. A.S. Mikhailov, Phys. Rep. 425, 79 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  201. T.M. Squires, Rev. Mod. Phys. 77, 977 (2005)

    Article  ADS  Google Scholar 

  202. O.G. Bakunin, Physica A 346, 284 (2005)

    Article  ADS  Google Scholar 

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Bakunin, O.G. (2008). Correlations and Anomalous Transport Models. In: Review of Plasma Physics. Reviews of Plasma Physics, vol 24. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74576-1_2

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