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Phase behaviour of lyotropic liquid crystals in external fields and confinement

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Abstract

This mini-review discusses the influence of external fields on the phase behaviour of lyotropic colloidal liquid crystals. The liquid crystal phases reviewed, formed in suspensions of highly anisotropic particles ranging from rod- to board- to plate-like particles, include nematic, smectic and columnar phases. The external fields considered are the earth gravitational field and electric and magnetic fields. For electric and magnetic fields single particle alignment, collective reorientation behaviour of ordered phases and field-induced liquid crystal phase transitions are discussed. Additionally, liquid crystal phase behaviour in various confining geometries, e.g. slit-pore, circular and spherical confinement will be reviewed.

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References

  1. A. Yethiraj, A. van Blaaderen, Nature 421, 513 (2003)

    ADS  Google Scholar 

  2. H. Löwen, J. Phys.: Condens. Matter 13, R415 (2001)

    Google Scholar 

  3. I. Kretzschmar, J.H. Song, Curr. Opin. Colloid In. 16, 84 (2011)

    Google Scholar 

  4. T. Palberg, H. Schweinfurth, T. Köller, H. Müller, H.J. Schöpe, A. Reinmüller, Eur. Phys. J. Special Topics 222(11), 2835 (2013)

    ADS  Google Scholar 

  5. J. Zhao, P. Papadopoulos, M. Roth, C. Dobbrow, E. Roeben, A. Schmidt, H.-J. Butt, G.K. Auernhammer, D. Vollmer, Eur. Phys. J. Special Topics 222(11), 2881 (2013)

    ADS  Google Scholar 

  6. P. Dillmann, G. Maret, P. Keim, Eur. Phys. J. Special Topics 222(11), 2941 (2013)

    ADS  Google Scholar 

  7. H. Löwen, T. Horn, T. Neuhaus, B. ten Hagen, Eur. Phys. J. Special Topics 222(11), 2961 (2013)

    Google Scholar 

  8. A. Reinmüller, E.C. Oguz, R. Messina, H. Löwen, H.J. Schöpe, T. Palberg, Eur. Phys. J. Special Topics 222(11), 3011 (2013)

    ADS  Google Scholar 

  9. L. Onsager, Ann. N. Y. Acad. Sci. 51, 627 (1949)

    ADS  Google Scholar 

  10. R. Eppenga, D. Frenkel, Mol. Phys. 52, 1303 (1984)

    ADS  Google Scholar 

  11. A. Stroobants, H.N.W. Lekkerkerker, D. Frenkel, Phys. Rev. Lett. 57, 1452 (1986)

    ADS  Google Scholar 

  12. D. Frenkel, H.N.W. Lekkerkerker, A. Stroobants, Nature 332, 822 (1988)

    ADS  Google Scholar 

  13. J. Veerman, D. Frenkel, Phys. Rev. A 45, 5632 (1992)

    ADS  Google Scholar 

  14. H. Zocher, Z. Anorg. Allg. Chem. 147, 91 (1925)

    Google Scholar 

  15. F. Bawden, N. Pirie, J. Bernal, I. Fankuchen, Nature 138, 1051 (1936)

    ADS  Google Scholar 

  16. J. Bernal, I. Fankuchen, J. Gen. Physiol. 25, 111 (1941)

    Google Scholar 

  17. K. Coper, H. Freundlich, T. Faraday Soc. 33, 0348 (1937)

    Google Scholar 

  18. I. Langmuir, J. Chem. Phys. 6, 873 (1938)

    ADS  Google Scholar 

  19. M. Freiser, Phys. Rev. Lett. 24, 1041 (1970)

    ADS  Google Scholar 

  20. R. Alben, Phys. Rev. Lett. 30, 778 (1973)

    ADS  Google Scholar 

  21. J. Straley, Phys. Rev. A. 10, 1881 (1974)

    ADS  Google Scholar 

  22. L. Yu, A. Saupe, Phys. Rev. Lett. 45, 1000 (1980)

    ADS  Google Scholar 

  23. P. Davidson, J. Gabriel, Curr. Opin. Colloid In. 9, 377 (2005)

    Google Scholar 

  24. J. Gabriel, P. Davidson, Adv. Mater. 12, 9 (2000)

    Google Scholar 

  25. H.N.W. Lekkerkerker, G.J. Vroege, Philos. Trans. R. Soc. A 371, 20120263 (2013)

    ADS  Google Scholar 

  26. D. Kleshchanok, P. Holmqvist, J.M. Meijer, H.N.W. Lekkerkerker, J. Am. Chem. Soc. 134, 5985 (2012)

    Google Scholar 

  27. J. Perrin, Les Atomes (Alcan, Paris, 1913)

  28. J. Perrin, Ann. Chim. Phys. 18, 5 (1909)

    Google Scholar 

  29. H.N.W. Lekkerkerker, P. Coulon, R. Vanderhaegen, R. Deblieck, J. Chem. Phys. 80, 3427 (1984)

    ADS  Google Scholar 

  30. A. Speranza, P. Sollich, J. Chem. Phys. 117, 5421 (2002)

    ADS  Google Scholar 

  31. F. van der Kooij, D. van der Beek, H.N.W. Lekkerkerker, J. Phys. Chem. B 105, 1696 (2001)

    Google Scholar 

  32. H.H. Wensink, G.J. Vroege, H.N.W. Lekkerkerker, J. Phys. Chem. B 105, 10610 (2001)

    Google Scholar 

  33. Z. Dogic, S. Fraden, Phys. Rev. Lett. 78, 2417 (1997)

    ADS  Google Scholar 

  34. Z. Dogic, S. Fraden, Curr. Opin. Colloid In. 11, 47 (2006)

    Google Scholar 

  35. F. Livolant, A. Levelut, J. Doucet, J. Benoit, Nature 339, 724 (1989)

    ADS  Google Scholar 

  36. M. Bates, D. Frenkel, J. Chem. Phys. 109, 6193 (1998)

    ADS  Google Scholar 

  37. Y. Martinez-Raton, J.A. Cuesta, Mol. Phys. 107, 415 (2009)

    ADS  Google Scholar 

  38. D. Sun, H. Sue, Z. Cheng, Y. Martinez-Ration, E. Velasco, Phys. Rev. E 80, 041704 (2009)

    ADS  Google Scholar 

  39. M.P. Lettinga, E. Grelet, Phys. Rev. Lett. 99, 197802 (2007)

    ADS  Google Scholar 

  40. F. van der Kooij, K. Kassapidou, H.N.W. Lekkerkerker, Nature 406, 868 (2000)

    ADS  Google Scholar 

  41. D. van der Beek, T. Schilling, H.N.W. Lekkerkerker, J. Chem. Phys. 121, 5423 (2004)

    ADS  Google Scholar 

  42. D. van der Beek, P.B. Radstake, A.V. Petukhov, H.N.W. Lekkerkerker, Langmuir 23, 11343 (2007)

    Google Scholar 

  43. A.V. Petukhov, D. van der Beek, R.P.A. Dullens, I.P. Dolbnya, G.J. Vroege, H.N.W. Lekkerkerker, Phys. Rev. Lett. 95, 077801 (2005)

    ADS  Google Scholar 

  44. G.J. Vroege, D.M.E. Thies-Weesie, A.V. Petukhov, B.J. Lemaire, P. Davidson, Adv. Mater. 18, 2565 (2006)

    Google Scholar 

  45. E. van den Pol, D.M.E. Thies-Weesie, A.V. Petukhov, G.J. Vroege, K. Kvashnina, J. Chem. Phys. 129, 164715 (2008)

    ADS  Google Scholar 

  46. A.B.G.M. Leferink op Reinink, J.M. Meijer, D. Kleshchanok, D.V. Byelov, G.J. Vroege, A.V. Petukhov, H.N.W. Lekkerkerker, J. Phys.: Condens. Matter 23, 194110 (2011)

    ADS  Google Scholar 

  47. A.B.G.M. Leferink op Reinink, E. van den Pol, D.V. Byelov, A.V. Petukhov, G.J. Vroege, J. Phys.: Condens. Matter 24, 464127 (2012)

    Google Scholar 

  48. D.V. Byelov, M.C.D. Mourad, I. Snigireva, A. Snigirev, A.V. Petukhov, H.N.W. Lekkerkerker, Langmuir 26, 6898 (2010)

    Google Scholar 

  49. J. Hanus, Phys. Rev. 178, 420 (1969)

    ADS  Google Scholar 

  50. A. Gast, C. Zukoski, Adv. Colloid Interface Sci. 30, 153 (1989)

    Google Scholar 

  51. H. Asai, N. Watanabe, Biopolymers 15, 383 (1976)

    Google Scholar 

  52. G. Maret, K. Dransfeld, Strong and Ultrastrong Magnetic Fields and their Applications (Springer, New York 1985), p. 143

  53. A. Khokhlov, A. Semenov, Macromolecules 15, 1272 (1982)

    ADS  Google Scholar 

  54. I. Dozov, E. Paineau, P. Davidson, K. Antonova, C. Baravian, I. Bihannic, L.J. Michot, J. Phys. Chem. B 115, 7751 (2011)

    Google Scholar 

  55. Z. Rozynek, B. Wang, J.O. Fossum, K.D. Knudsen, Eur. Phys. J. E 35, 8 (2012)

    Google Scholar 

  56. S. Lamarque-Forget, O. Pelletier, I. Dozov, P. Davidson, P. Martinot-Lagarde, J. Livage, Adv. Mater. 12, 1267 (2000)

    Google Scholar 

  57. T. van de Ven, M. Baloch, J. Colloid Interface Sci. 136, 494 (1990)

    Google Scholar 

  58. B. van der Zande, G. Koper, H.N.W. Lekkerkerker, J. Phys. Chem. B 103, 5754 (1999)

    Google Scholar 

  59. S. Fraden, G. Maret, D. Caspar, Phys. Rev. E 48, 2816 (1993)

    ADS  Google Scholar 

  60. S. Fraden, G. Maret, D. Caspar, R. Meyer, Phys. Rev. Lett. 63, 2068 (1989)

    ADS  Google Scholar 

  61. J. Tang, S. Fraden, Phys. Rev. Lett 71, 3509 (1993)

    ADS  Google Scholar 

  62. D. van der Beek, A.V. Petukhov, P. Davidson, J. Ferré, J.P. Jamet, H.H. Wensink, G.J. Vroege, W. Bras, H.N.W. Lekkerkerker, Phys. Rev. E 73, 041402 (2006)

    ADS  Google Scholar 

  63. X. Commeinhes, P. Davidson, C. Bourgaux, J. Livage, Adv. Mater. 9, 900 (1997)

    Google Scholar 

  64. B. Abécassis, F. Lerouge, F. Bouquet, S. Kachbi, M. Monteil, P. Davidson, J. Phys. Chem. B 116, 7590 (2012)

    Google Scholar 

  65. D. van der Beek, P. Davidson, H.H. Wensink, G.J. Vroege, H.N.W. Lekkerkerker, Phys. Rev. E 77, 031708 (2008)

    ADS  Google Scholar 

  66. L. Michot, I. Bihannic, S. Maddi, S.S. Funari, C. Baravian, P. Levitz, P. Davidson, Proc. Natl. Acad. Sci. U.S.A. 103, 16101 (2006)

    ADS  Google Scholar 

  67. E. Paineau, I. Dozov, K. Antonova, P. Davidson, M. Impéror, F. Meneau, I. Bihannic, C. Baravian, A.M. Philippe, P. Levitz, L.J. Michot, Mater. Sci. Eng. 18, 062005 (2011)

    Google Scholar 

  68. E. Paineau, I. Dozov, A.M. Philippe, I. Bihannic, F. Meneau, C. Baravian, L.J. Michot, P. Davidson, J. Phys. Chem. B 116, 13516 (2012)

    Google Scholar 

  69. S. Fraden, A. Hurd, R. Meyer, M. Cahoon, D. Caspar, J. Phys.-Paris 46, 85 (1985)

    Google Scholar 

  70. V. Freedericksz, A. Repiewa, Z. Phys. 42, 532 (1927)

    ADS  Google Scholar 

  71. A. Hurd, S. Fraden, F. Lonberg, R. Meyer, J. Phys.-Paris 46, 905 (1985)

    Google Scholar 

  72. F. Lonberg, S. Fraden, A. Hurd, R. Meyer, Phys. Rev. Lett. 52, 1903 (1984)

    ADS  Google Scholar 

  73. G. Srajer, S. Fraden, R. Meyer, Phys. Rev. A 39, 4828 (1989)

    ADS  Google Scholar 

  74. A.A. Verhoeff, R.H.J. Otten, P. van der Schoot, H.N.W. Lekkerkerker, J. Chem. Phys. 134, 044904 (2011)

    ADS  Google Scholar 

  75. A.A. Verhoeff, R.H.J. Otten, P. van der Schoot, H.N.W. Lekkerkerker, J. Phys. Chem. B 113, 3704 (2009)

    Google Scholar 

  76. E.P. Furlani, Permanent Magnet and Electromechanical Devices: Materials, Analysis and Applications (Academic Press: San Diego, CA 2001), p. 518

  77. S. Zhang, C.I. Pelligra, G. Keskar, P.W. Majewski, F. Ren, L.D. Pfefferle, C.O. Osuji, ACS Nano 5, 8357 (2011)

    Google Scholar 

  78. Q. Majorana, C.R. Acad. Sci. 135, 159 (1902)

    Google Scholar 

  79. A. Cotton, Q. Majorana, C.R. Acad. Sci. 141, 317 (1905)

    Google Scholar 

  80. Q. Majorana, Rend. Accad. Lincei 11, 374 (1902)

    Google Scholar 

  81. B. Lemaire, P. Davidson, J. Ferré, J.P. Jamet, P. Panine, I. Dozov, J.P. Jolivet, Phys. Rev. Lett. 88, 125507 (2002)

    ADS  Google Scholar 

  82. B.J. Lemaire, P. Davidson, J. Ferré, J.P. Jamet, D. Petermann, P. Panine, I. Dozov, J.P. Jolivet, Eur. Phys. J. E 13, 291 (2004)

    Google Scholar 

  83. B.J. Lemaire, P. Davidson, D. Petermann, P. Panine, I. Dozov, D. Stoenescu, J.P. Jolivet, Eur. Phys. J. E 13, 309 (2004)

    Google Scholar 

  84. B.J. Lemaire, P. Davidson, J. Ferré, J.P. Jamet, D. Petermann, P. Panine, I. Dozov, D. Stoenescuc, J.P. Jolivet, Faraday Discuss. 128, 271 (2005)

    ADS  Google Scholar 

  85. E. van den Pol, A.V. Petukhov, D.M.E. Thies-Weesie, D.V. Byelov, G.J. Vroege, Phys. Rev. Lett. 103, 258301 (2009)

    ADS  Google Scholar 

  86. E. van den Pol, D.M.E. Thies-Weesie, A.V. Petukhov, D.V. Byelov, G.J. Vroege, Liq. Cryst. 37, 641 (2010)

    Google Scholar 

  87. S. Belli, A. Patti, M. Dijkstra, R. van Roij, Phys. Rev. Lett. 107, 148303 (2011)

    ADS  Google Scholar 

  88. K. Kang, J.K.G. Dhont, Eur. Phys. Lett. 84, 14005 (2008)

    ADS  Google Scholar 

  89. K. Kang, J.K.G. Dhont, Soft Matter. 6, 273 (2010)

    ADS  Google Scholar 

  90. K. Kang, J.K.G. Dhont, Eur. Phys. J. E 30, 333 (2009)

    MATH  Google Scholar 

  91. B.J. Lemaire, P. Davidson, P. Panine, J.P. Jolivet, Phys. Rev. Lett. 93, 267801 (2004)

    ADS  Google Scholar 

  92. H.H. Wensink, G.J. Vroege, Phys. Rev. E 72, 031708 (2005)

    ADS  Google Scholar 

  93. E. van den Pol, A. Lupascu, M.A. Diaconeasa, A.V. Petukhov, D.V. Byelov, G.J. Vroege, J. Phys. Chem. Lett. 1, 2174 (2010)

    Google Scholar 

  94. E. van den Pol, A.A. Verhoeff, A. Lupascu, M.A. Diaconeasa, P. Davidson, I. Dozov, B.W.M. Kuipers, D.M.E. Thies-Weesie, G.J. Vroege, J. Phys.: Condens. Matter 23, 194108 (2011)

    ADS  Google Scholar 

  95. E. van den Pol, A.V. Petukhov, D.V. Byelov, D.M.E. Thies-Weesie, A. Snigirev, I. Snigireva, G.J. Vroege, Soft Matter 6, 4895 (2010)

    ADS  Google Scholar 

  96. E. van den Pol, A.V. Petukhov, D.M.E. Thies-Weesie, G.J. Vroege, Langmuir 26, 1579 (2010)

    Google Scholar 

  97. A.B.G.M. Leferink op Reinink, E. van den Pol, G.J. Vroege, A.V. Petukhov, J. Appl. Crystallogr. (accepted)

  98. M. Dijkstra, R. van Roij, R. Evans, Phys. Rev. E 63, 051703 (2001)

    ADS  Google Scholar 

  99. H. Reich, M. Schmidt, J. Phys.: Condens. Matter 19, 326103 (2007)

    Google Scholar 

  100. J. Bonvent, I. Bechtold, M. Vega, E. Oliveira, Phys. Rev. E 62, 3775 (2000)

    ADS  Google Scholar 

  101. D. de las Heras, E. Velasco, L. Mederos, Phys. Rev. Lett. 94, 017801 (2005)

    ADS  Google Scholar 

  102. D. de las Heras, Y. Martinez-Raton, E. Velasco, Phys. Chem. Chem. Phys. 12, 10831 (2010)

    Google Scholar 

  103. D. de las Heras, Y. Martinez-Raton, E. Velasco, Phys. Rev. E 81, 021706 (2010)

    ADS  Google Scholar 

  104. A. Malijevsky, S. Varga, J. Phys.: Condens. Matter 22, 175002 (2010)

    ADS  Google Scholar 

  105. Y. Iwashita, H. Tanaka, Phys. Rev. Lett. 95, 047801 (2005)

    ADS  Google Scholar 

  106. Y. Iwashita, H. Tanaka, Phys. Rev. E 77, 041706 (2008)

    ADS  Google Scholar 

  107. P. Patricio, J.M. Romero-Enrique, N.M. Silvestre, N.R. Bernardino, M.M. Telo da Gama, Mol. Phys. 109, 1067 (2011)

    ADS  Google Scholar 

  108. O.J. Dammone, I. Zacharoudiou, R.P.A. Dullens, J.M. Yeomans, M.P. Lettinga, D.G.A.L. Aarts, Phys. Rev. Lett. 109, 108303 (2012)

    ADS  Google Scholar 

  109. D. de las Heras, L. Mederos, E. Velasco, Liq. Cryst. 37, 45 (2010)

    Google Scholar 

  110. D. de las Heras, E. Velasco, L. Mederos, Phys. Rev. E 79, 061703 (2009)

    ADS  Google Scholar 

  111. A.A. Verhoeff, I.A. Bakelaar, R.H.J. Otten, P. van der Schoot, H.N.W. Lekkerkerker, Langmuir. 27, 116 (2011)

    Google Scholar 

  112. A.A. Verhoeff, H.N.W. Lekkerkerker, Soft Matter 8, 4865 (2012)

    ADS  Google Scholar 

  113. L. Tortora, O.D. Lavrentovich, Proc. Natl. Acad. Sci. U.S.A. 108, 5163 (2011)

    ADS  Google Scholar 

  114. J. Wijnhoven, J. Colloid Interface Sci. 292, 403 (2005)

    Google Scholar 

  115. S. Shen, P.S. Chow, F. Chen, S. Feng, R.B.H. Tan, J. Cryst. Growth. 292, 136 (2006)

    ADS  Google Scholar 

  116. C. Vonk, S. Oversteegen, J. Wijnhoven, J. Colloid Interface Sci. 287, 521 (2005)

    Google Scholar 

  117. J. Wijnhoven, D. van ’t Zand, D. van der Beek, H.N.W. Lekkerkerker, Langmuir 21, 10422 (2005)

    Google Scholar 

  118. M.C.D. Mourad, A.V. Petukhov, G.J. Vroege, H.N.W. Lekkerkerker, Langmuir 26, 14182 (2010)

    Google Scholar 

  119. J. Fölling, S. Polyakova, V. Belov, A. van Blaaderen, M.L. Bossi, S.W. Hell, Small 4, 134 (2008)

    Google Scholar 

  120. D.V. Byelov, J.M. Meijer, I. Snigireva, A. Snigirev, L. Rossi, E. van den Pol, A. Kuijk, A.P. Philipse, A. Imhof, A. van Blaaderen, G.J. Vroege, A.V. Petukhov, RSC Advances (in press)

  121. A. Kuijk, D.V. Byelov, A.V. Petukhov, A.V. van Blaaderen, A. Imhof, Faraday Discuss. 159, 181 (2012)

    ADS  Google Scholar 

  122. A. Kuijk, A.V. van Blaaderen, A. Imhof, J. Am. Chem. Soc. 133, 2346 (2011)

    Google Scholar 

  123. R.J. Greasty, R.M. Richardson, S. Klein, D. Cherns, M.R. Thomas, C. Pizzey, N. Terrill, C. Rochas, Philos. Trans. R. Soc. A 371, 20120257 (2013)

    ADS  Google Scholar 

  124. A. Eremin, R. Stannarius, S. Klein, J. Heuer, R.M. Richardson, Adv. Funct. Mater. 21, 556 (2011)

    Google Scholar 

  125. M. Boamfa, S. Lazarenko, E. Vermolen, A. Kirilyuk, T. Rasing, Adv. Mater. 17, 610 (2005)

    Google Scholar 

  126. S.B. Bubenhofer, E.K. Athanassiou, R.N. Grass, F.M.Koehler, M. Rossier, W.J. Stark, Nanotechnology. 20, 485302 (2009)

    Google Scholar 

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Leferink op Reinink, A.B.G.M., van den Pol, E., Petukhov, A.V. et al. Phase behaviour of lyotropic liquid crystals in external fields and confinement. Eur. Phys. J. Spec. Top. 222, 3053–3069 (2013). https://doi.org/10.1140/epjst/e2013-02075-x

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