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Part of the book series: Partially Ordered Systems ((PARTIAL.ORDERED))

Abstract

Over the last 15 years or so, a great deal of progress has been made experimentally and theoretically in understanding critical phase separation in fluids. The general concepts of scaling and universality are well established and renormalization group calculations of critical exponents are generally in good agreement with experimental values. There exist many books and recent reviews of critical phenomena [1–12]. The best characterized systems are pure fluids near their liquid-vapor critical points and binary fluids near liquid-liquid consolute points [6–12]. Both types of critical points belong to the same universality class as the three-dimensional Ising model. For mix-tures with three or more components, liquid-liquid phase separation seems also to be related to the Ising model [13–21].

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References

  1. H. E. Stanley, Introduction to Phase Transitions and Critical Phe-nomena (Oxford University Press, Oxford,1971)

    Google Scholar 

  2. C. Domb and M. S. Green, Phase Transitions and Critical Phenom-ena,Vol. 1–6 (Academic Press, New York, 1972–1977).

    Google Scholar 

  3. J. M. H. Levelt Sengers, R. Hocken and J. V. Sengers, Phys. Today 30, 42 (1977).

    ADS  Google Scholar 

  4. Phase Transitions: Cargese 1980, M. Levy and J. Zinn-Justin, eds. (Plenum Press, New York, 1982).

    Google Scholar 

  5. B. Chu, in Dynamic Light Scatterings, R. Pecora, ed. (Plenum Press, 1985 ).

    Google Scholar 

  6. S. C. Greer and M. R. Moldover, Ann. Rev. Phys. Chem. 32, 233 (1981).

    Article  ADS  Google Scholar 

  7. J. V. Sengers and J. M. H. Levelt Sengers, Ann. Rev. Phys. Chem. 37, 189 (1986).

    Article  ADS  Google Scholar 

  8. A. Kumar, H. R. Krishnamurthy and E. S. R. Gopal, Physics Report 98, 57 (1983).

    Article  ADS  Google Scholar 

  9. J. M. H. Levelt Senters, Pure Appl. Chem. 55, 437 (1983).

    Google Scholar 

  10. J. M. H. Levelt Sengers, G. Morrison and R. F. Chang, Fluid Phase Equilibria 14, 19 (1983).

    Article  Google Scholar 

  11. D. Beysens and A. Bourgou, Phys. Rev. A19, 2407 (1979).

    Article  ADS  Google Scholar 

  12. D. Beysens, A. Bourgou and P. Calmettes, Phys. Rev. A26, 3589 (1982).

    Article  ADS  Google Scholar 

  13. B. Widom, J. Chem. 46 3324 (1967).

    ADS  Google Scholar 

  14. M. E. Fisher, Phys. Rev. 176, 257 (1971).

    Article  ADS  Google Scholar 

  15. J. C. Wheeler and B. Widom, J. Phys. Chem. Soc. 90, 3064 (1968).

    Google Scholar 

  16. R. B. Griffiths and J. C. Wheeler, Phys. Rev. A2, 1047 (1970).

    Article  ADS  Google Scholar 

  17. J.A. Zollweg, J. Chem. Phys. 55, 1430 (1971).

    Article  ADS  Google Scholar 

  18. K. Obayashi and B. Chu, J. Chem. Phys. 68, 5066 (1978).

    Article  ADS  Google Scholar 

  19. L. E. Wold, G. J. Pruit and G. Morrisson, J. Phys. Chem. 77, 1572 (1973).

    Article  Google Scholar 

  20. W. I. Goldburg and P. N. Pusey, J. Phys. 33, 105 (1972).

    Google Scholar 

  21. E. Bloemen, J. Thoen and W. Van Dad, J. Chem. Phys. 75, 1488 (1987).

    Article  ADS  Google Scholar 

  22. M. Corti and V. Degiorgio, Opt. Commun. 14, 158 (1975).

    Article  Google Scholar 

  23. M. Corti and V. Degiorgio, Phys. Rev. Lett. 45, 13, 1045 (1980).

    Article  ADS  Google Scholar 

  24. M. Corti and V. Degiorgio, J. Phys. Chem. 85, 1442 (1981).

    Article  Google Scholar 

  25. M. Corti, V. Degiorgio and M. Zulauf, Phys. Rev. Lett. 48, 1617 (1982).

    Article  ADS  Google Scholar 

  26. N. Corti, C. Minero and V. Degiorgio, J. Phys. Chem. 88, 309 (1984).

    Article  Google Scholar 

  27. V. Degiorgio, in Physics of Amphiphiles: Micelles, Vesicles and Mi-croemulsions V. Degiorgio and M. Corti, eds. ( North-Holland, Ams-terdam, 1985 ), p. 303.

    Google Scholar 

  28. V. Degiorgio, R. Piazza, M. Corti and C. Minero, J. Phys. Chem. 82 1025 (1985).

    Article  Google Scholar 

  29. M. Corti and V. Degiorgio, Phys. Rev. Lett. 55, 2005 (1985).

    Article  ADS  Google Scholar 

  30. M. Corti, V. Degiorgi and L. Cantu, in Physics of Complex and Su-permolecular Fluids, S. A. Safran and N. A. Clark, eds. ( Wiley, New York, 1987 ) p. 463.

    Google Scholar 

  31. J. Lang and R. D. Morgan, J. Chem. Phys. 73, 5849 (1980).

    Article  ADS  Google Scholar 

  32. K. Hamono, N. Kuwahara, T. Koyama and S. Harada, Phys. Rev. A 32, 3168 (1985).

    Article  ADS  Google Scholar 

  33. Y. Dormoy, E. Hirsch, S. J. Candau and R. Zana, Progress in Coll. Polymer Sci. 73, 81 (1987).

    Google Scholar 

  34. R. Strey and A. Pakusch, in Surfactants in Solution, K. L. Mittal and P. Bothorel, eds. ( Plenum Press, New York, 1987 ) p. 456.

    Google Scholar 

  35. J. Appell and G. Porte, J. Phys. 44, L689 (1983).

    Google Scholar 

  36. O. Abillon, D. Chatenay, D. Langevin and J. Meunier, J. Phys. Lett. 45, L223 (1984).

    Article  Google Scholar 

  37. J. S. Huang and M. W. Kim, Phys. Rev. Lett. 47, 1462 (1981).

    Article  ADS  Google Scholar 

  38. R. Dorshow, F. de Buzzaccarini, C. A. Bunton and D. F. Nicoli, Phys. Rev. Lett. 47, 1336 (1981).

    Article  ADS  Google Scholar 

  39. G. Fourche, A. M. Bellocq and S. Brunetti, J. Colloid Interface Sci. 89, 417 (1982).

    Google Scholar 

  40. A. M. Bellocq, D. Bourbon and B. Lemanceau, J. Colloid Interface Sci. 79, 419 (1981).

    Article  Google Scholar 

  41. A. M. Bellocq, D. Bourbon, B. Lemanceau and G. Fourche, J. Colloid Interface Sci. 89, 427 (1982).

    Article  Google Scholar 

  42. D. Roux and A. M. Bellocq, Phys. Rev. Lett. 52, 1895 (1984).

    Article  ADS  Google Scholar 

  43. P. Honorat, D. Roux and A. M. Bellocq, J. de Physique Lett. 45 L961 (1984).

    Article  Google Scholar 

  44. A. M. Bellocq, P. Honorat and D. Roux, J. de Physique 46, 743 (1985).

    Article  Google Scholar 

  45. A. M. Bellocq and D. Roux, in Microemulsions, Structure and Dy-namics, S. Friberg and P. Bothorel, eds. ( CRC Press, 1987 ) p. 33.

    Google Scholar 

  46. D. Roux and A. M. Bellocq, in Surfactants in Solution, K. L. Mittal and P. Bothorel, eds. ( Plenum, New York, 1987 ) p. 1247.

    Google Scholar 

  47. A. M. Bellocq, P. Honorat and D. Roux, ibid. p. 1263.

    Google Scholar 

  48. A. M. Cazabat, D. Langevin, J. Meunier and A. Pouchelon, Adv. in Colloid Interface Sci. 16, 175 (1982).

    Article  Google Scholar 

  49. A. M. Cazabat, D. Langevin, J. Meunier and A. Pouchelon, J. de Physique Lett. 43, L-89 (1982).

    Article  Google Scholar 

  50. M. W. Kim and J. S. Huang, Phys. Rev. B26, 2703 (1982).

    Article  ADS  Google Scholar 

  51. J. S. Huang and M. W. Kim, in Physics of Amphiphiles: Micelles, Vesicles and Microemulsions, V. Degiorgio and M. Corti, eds. ( North-Holland, Amsterdam, 1985 ) p. 864.

    Google Scholar 

  52. W. M. Kim, J. Bock and J. S. Huang, Phys. Rev. Lett. 54, 46 (1985).

    Article  ADS  Google Scholar 

  53. S. H. Chen and M. Kotlarchyk, in Physics of Amphiphiles: Micelles, Visicles and Microemulsions, V. Degiorgio and M. Corti, eds. ( North-Holland, Amsterdam, 1985 ) p. 768.

    Google Scholar 

  54. M. Kotlarchyk and S. H. Chen, J. Phys. Chem. 86 3273 (1982).

    Article  Google Scholar 

  55. M. Kotlarchyk, S. H. Chen, J. S. Huang and M. W. Kim, Phys. Rev. A 29 2054 (1984).

    Article  ADS  Google Scholar 

  56. M. Korlarchyk, S. H. Chen and J. S. Huang, Phys Rev. A28, 508 (1983).

    Article  ADS  Google Scholar 

  57. C. Toprakcioglu, J. C. Dore, B. H. Robinson, A. Howe and P. J. Chieux, J. Chem. Soc. Faraday Trans. 80, 413 (1984).

    Article  Google Scholar 

  58. M. Kahlweit and R. Strey, Angew. Chem. 24, 654 (1985).

    Article  Google Scholar 

  59. M. Kahlweit, R. Strey and P. Firman, J. Phys. Chem. 90, 671 (1986).

    Article  Google Scholar 

  60. M. Kahlweit and R. Strey, J. Phys. Chem. 90, 5239 (1986).

    Article  Google Scholar 

  61. M. Kahlweit and R. Strey, J. Phys. Chem. 91, 1553 (1987).

    Article  Google Scholar 

  62. H. Kunieda and T. Arai, Bull. Chem. Soc. Jpn 57, 281 (1984).

    Article  Google Scholar 

  63. H. Kunieda, J. Colloid Interface Sci. 122, 138 (1988).

    Article  Google Scholar 

  64. For a general survey see Surfactants in Solution, Vol. 1–3, K. L. Mittal and B. Lindman, eds. (Plenum, 1984), Vol. 4–6, K. L. Mittal and P. Bothorel, eds. (Plenum, 1987).

    Google Scholar 

  65. R. R. Balmbra, J. S. Clunie, J. M. Corkill and J. F. Goodman, Trans. Faraday Soc. 58, 1661 (1962); 60, 979 (1964).

    Article  Google Scholar 

  66. R. H. Ottewill, C. C. Storer and T. Walker, Trans. Faraday Soc. 63, 2796 (1967).

    Article  Google Scholar 

  67. D. Attwood, J. Phys. Chem. 72, 339 (1968).

    Article  Google Scholar 

  68. M. Zulauf and J. P. Rosenbush, J. Phys. Chem. 87, 856 (1983).

    Article  Google Scholar 

  69. J. B. Hayter and M. Zulauf, Colloid Polym. Sci. 260, 1023 (1982).

    Article  Google Scholar 

  70. M. Zulauf, K. Wechstrom, J. B. Hayter, V. Degiorgio and M. Corti, J. Phys. Chem. 89, 3411 (1985).

    Article  Google Scholar 

  71. L. Reatto and M. Tau, Chem. Phys. Lett. 108, 292 (1984).

    Article  ADS  Google Scholar 

  72. R. Triolo, L. J. Magid, J. S. Johnson and H. R. Child, J. Phys. Chem. 86, 3689 (1982).

    Article  Google Scholar 

  73. D. J. Cebula and R. H. Ottewill, Colloid Polym. Sci. 260, 260 (1982).

    Google Scholar 

  74. J. C. Ravey, Colloid Interface Sci. 94, 289 (1983).

    Article  Google Scholar 

  75. L. J. Magid, R. Triolo and J. S. Johnson, J. Phys. Chem. 88, 5730 (1984).

    Article  Google Scholar 

  76. P. C. Nillsson, H. Wennerstrom and B. Lindman, J. Phys. Chem 87, 1377 (1983).

    Article  Google Scholar 

  77. D. J. Mitchell, G. J. T. Tiddy, L. Waring, T. Bostock and M. P. McDonald, J. Chem. Soc. Faraday Trans. I 79. 975 (1983).

    Article  Google Scholar 

  78. P. G. Neeson, B. R. Jennings and G. J. T. Tiddy, Chem. Phys. Lett. 95, 533 (1983).

    Article  ADS  Google Scholar 

  79. R. Zana and C. Weill, J. de Physique Lett. 46, L954 (1985).

    Google Scholar 

  80. W. Binana-Limbelle and R. Zana, J. Colloid Interface Sci. 121, 81 (1988).

    Article  Google Scholar 

  81. D. Roux, A. M. Bellocq and M. S. Leblanc, Chem. Phys. Lett. 94, 156 (1983).

    Article  ADS  Google Scholar 

  82. S. A. Safran and L. A. Turkevich, Phys. Rev. Lett. 50, 1930 (1983).

    Article  ADS  Google Scholar 

  83. D. Roux and A. M. Bellocq, in Physics of Amphiphiles: Micelles, Vesicles and Microemulsions, V. Degiorgio and M. Corti, eds. ( North Holland, Amsterdam, 1985 ) p. 842.

    Google Scholar 

  84. D. Roux and A. M. Bellocq, in Macro-and Microemulsions. The-ory and Practice,E. O. Shah, ed. (ACS Symposium Series 272 105 (1985)).

    Google Scholar 

  85. D. Roux, A. M. Bellocq and P. Bothorel, in Surfactants in Solution, K. L. Mittal and B. Lindman, eds. ( Plenum Press, 1984 ) p. 18443.

    Google Scholar 

  86. S. Bunetti, D. Roux, A. M. Bellocq, G. Fourche and P. Bothorel, J. Phys. Chem. 887, 1023 (1983).

    Google Scholar 

  87. A. M. Cazabat and D. Langevin, J. Chem. Phys. 74, 3148 (1981).

    Article  ADS  Google Scholar 

  88. B. Lemaire, P. Bothorel and D. Roux, J. Phys. Chem. 87, 1023 (1983).

    Article  Google Scholar 

  89. A. M. Bellocq in Physics of Complex and Supermolecular Fluids, A. S. Safran and N. A. Clark, eds. ( Wiley, New York, 1987 ).

    Google Scholar 

  90. A. M. Bellocq, J. Biais, P. Bothorel, B. Clin, G. Fourche, P. Lalanne, B. Lemaire, B. Lemanceau and D. Roux, Adv. Colloid Interface Sci. 20, 167 (1984).

    Article  Google Scholar 

  91. A. A. Calje, W. G. M. Agterof and A. Vrij, in Micellization, Solubi-lization, Microemulsions K. L. Mittal, ed. ( Plenum Press, New York, 1976 ) p. 779.

    Google Scholar 

  92. M. Dvolaitzky, M. Guyot, M. Lagues, J. P. Le Pesant, R. Ober, C. Sauterey and C. Taupin, J. Chem. Phys. 69, 3279 (1978).

    Article  ADS  Google Scholar 

  93. R. Ober and C. Taupin, J. Phys. Chem. 84, 2418 (1980).

    Article  Google Scholar 

  94. A. M. Cazabat, in Colloides et Interfaces (Editions de Physique, 1984 ) p. 323.

    Google Scholar 

  95. M. Lages, R. Ober and C. Taupin, J. de Physique Lett. 39, L487 (1987).

    Article  Google Scholar 

  96. B. Lagourette, J. Peyrelasse, C. Boned and M. Clausse, Nature 281, 60 (1979).

    Article  ADS  Google Scholar 

  97. A. M. Cazabat, D. Langevin, J. Meuiner, O. Abillon and D. Chate-nau, in Macro-and Microemulsions (ACS Symposium Series, 1985 ) p. 75.

    Google Scholar 

  98. P. Guering and A. M. Cazabat, J. de Physique Lett. 44, L-601 (1983).

    Article  Google Scholar 

  99. R. Zana, J. Lang, O. Sorba, A. M. Cazabat and D. Langevin, J. de Physique Lett. 43, L-829 (1982).

    Article  Google Scholar 

  100. D. Chatenay, W. Urbach, A. M. Cazabat and D. Langevin, Phys. Rev. Lett. 54, 2253 (1985).

    Article  ADS  Google Scholar 

  101. A. M. Cazabat, D. Chatenay, P. Guering and W. Urbach, Physics of Complex and Supermoleculalr Fluids, S. A. Safran and N. A. Clark, eds. ( Wiley, New York, 1987 ) p. 585.

    Google Scholar 

  102. J. Lang, A. Malliaris and A. Jada, J. Phys. Chem. 92, 1946 (1988).

    Google Scholar 

  103. S. H. Chen, T. L. Lin and J. S. Huang, in Physics of Complex and Supermolecular Fluids, S. A. Safran and N, A. Clark, eds. ( Wiley, New York, 1987 ) p. 285.

    Google Scholar 

  104. J. Tabony, M. Drifford and A. de Geyer, Chem. Phys. Lett. 96, 119 (1983).

    Google Scholar 

  105. C. M. Sorensen, Chem. Phys. Lett. 117, 606 (1985).

    Article  ADS  Google Scholar 

  106. K. Kawasaki, Ann. Phys.(N.Y.) 61, 1 (1970).

    Article  ADS  Google Scholar 

  107. Y. Shnidman, Phys. Rev. Lett. 56, 2546 (1986).

    Article  ADS  Google Scholar 

  108. M. E. Fisher, Phys. Rev. Lett. 57, 1911 (1986).

    Article  ADS  Google Scholar 

  109. G. Caflisch, M. Kaufman and J. R. Banavar, Phys. Rev. Lett. 56, 2545 (1985).

    Article  ADS  Google Scholar 

  110. C. Bagnuls and C. Bervillier, Phys. Rev. Lett. 58, 435 (1987).

    Article  ADS  Google Scholar 

  111. G. Dietler and D S Cannell, Phys. Rev. Lett. 60, 1852 (1988).

    Article  ADS  Google Scholar 

  112. J. P. Wilcoxon and E. W. Kaler, J. Chem. Phys. 86, 4684 (1987).

    Article  ADS  Google Scholar 

  113. J. S. Huang and M. W. Kim, in Physics of Amphiphiles: Micelles, Vesicles and Microemulsions V. Degiorgio and M. Corti, eds. (North Holland, Amsterdam, 1985 ) p. 846.

    Google Scholar 

  114. D. Gazeau, Thesis, Bordeaux 1989, and A. M. Bellocq and D. Gazeau, J. Phys. Chem. 94, 8933 (1990).

    Article  Google Scholar 

  115. D. Roux and A. M Bellocq, in Statistical Thermodynamics of Micelles and Microemulsions, S. H. Chen and R. Rajagopalan, eds. ( Springer, Heidelberg, 1990 ).

    Google Scholar 

  116. N. Rebbouh, J. Buchert and J. R Lalanne, Europhys. Lett. 4, 447 (1987).

    Article  ADS  Google Scholar 

  117. P. Dorion, J. R. Lalanne, B. Pouligny, S. Imaizumi and C. W. Gar-land, J. Chem. Phys. 87, 578 (1987).

    Article  ADS  Google Scholar 

  118. D. Gazeau, E. Freysz and A. M. Bellocq, Europhys. Lett. 9, 833 (1989).

    Article  ADS  Google Scholar 

  119. D. Gazeau, A. M. Bellocq, D. Roux and T. Zemb, Europhys. Lett. 9, 447 (1989).

    Article  ADS  Google Scholar 

  120. D. A. Huse and S. Leibler, J. de Physique 49, 605 (1988).

    Article  Google Scholar 

  121. M. E. Cates, D. Roux, D. Andelman, S. T. Milner and S. A. Safran, Europhys. Lett. 5, 733 (1988).

    Article  ADS  Google Scholar 

  122. It has been considered that the system can be described by two dif-ferent order parameters, weakly coupled.

    Google Scholar 

  123. V. G. Puglieli and N. C. Ford, Phys. Rev. Lett. 25, 143 (1970).

    Article  ADS  Google Scholar 

  124. C. Coulon, D. Roux and A. M. Bellocq, Phys. Rev. Lett. 66, 1709 (1991).

    Article  ADS  Google Scholar 

  125. H. Chaar, M. R. Moldover and J. W. Schmidt, J. Chem. Phys. 85, 418 (1986).

    Article  ADS  Google Scholar 

  126. D. Langevin in Microemulsions: Structure and Dynamics, S. E. Friberg and P. Bothorel, eds. ( CRC Press, 1987 ) p. 173.

    Google Scholar 

  127. D. Roux, J. de Physique Paris, 47, 733 (1986).

    Google Scholar 

  128. E. Redysz, W. Claeys, A. Ducasse and B. Pouligny, IEEE J. of Qu. Electronics QE-22, 1258 (1986).

    Google Scholar 

  129. B. Jean-Jean, E. Freysz, A. Ducasse and B. Pouligny, Europhys. Lett. 7, 219 (1988).

    Article  ADS  Google Scholar 

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Bellocq, AM. (1994). Critical Behavior of Surfactant Solutions. In: Gelbart, W.M., Ben-Shaul, A., Roux, D. (eds) Micelles, Membranes, Microemulsions, and Monolayers. Partially Ordered Systems. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8389-5_11

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