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
H. E. Stanley, Introduction to Phase Transitions and Critical Phe-nomena (Oxford University Press, Oxford,1971)
C. Domb and M. S. Green, Phase Transitions and Critical Phenom-ena,Vol. 1–6 (Academic Press, New York, 1972–1977).
J. M. H. Levelt Sengers, R. Hocken and J. V. Sengers, Phys. Today 30, 42 (1977).
Phase Transitions: Cargese 1980, M. Levy and J. Zinn-Justin, eds. (Plenum Press, New York, 1982).
B. Chu, in Dynamic Light Scatterings, R. Pecora, ed. (Plenum Press, 1985 ).
S. C. Greer and M. R. Moldover, Ann. Rev. Phys. Chem. 32, 233 (1981).
J. V. Sengers and J. M. H. Levelt Sengers, Ann. Rev. Phys. Chem. 37, 189 (1986).
A. Kumar, H. R. Krishnamurthy and E. S. R. Gopal, Physics Report 98, 57 (1983).
J. M. H. Levelt Senters, Pure Appl. Chem. 55, 437 (1983).
J. M. H. Levelt Sengers, G. Morrison and R. F. Chang, Fluid Phase Equilibria 14, 19 (1983).
D. Beysens and A. Bourgou, Phys. Rev. A19, 2407 (1979).
D. Beysens, A. Bourgou and P. Calmettes, Phys. Rev. A26, 3589 (1982).
B. Widom, J. Chem. 46 3324 (1967).
M. E. Fisher, Phys. Rev. 176, 257 (1971).
J. C. Wheeler and B. Widom, J. Phys. Chem. Soc. 90, 3064 (1968).
R. B. Griffiths and J. C. Wheeler, Phys. Rev. A2, 1047 (1970).
J.A. Zollweg, J. Chem. Phys. 55, 1430 (1971).
K. Obayashi and B. Chu, J. Chem. Phys. 68, 5066 (1978).
L. E. Wold, G. J. Pruit and G. Morrisson, J. Phys. Chem. 77, 1572 (1973).
W. I. Goldburg and P. N. Pusey, J. Phys. 33, 105 (1972).
E. Bloemen, J. Thoen and W. Van Dad, J. Chem. Phys. 75, 1488 (1987).
M. Corti and V. Degiorgio, Opt. Commun. 14, 158 (1975).
M. Corti and V. Degiorgio, Phys. Rev. Lett. 45, 13, 1045 (1980).
M. Corti and V. Degiorgio, J. Phys. Chem. 85, 1442 (1981).
M. Corti, V. Degiorgio and M. Zulauf, Phys. Rev. Lett. 48, 1617 (1982).
N. Corti, C. Minero and V. Degiorgio, J. Phys. Chem. 88, 309 (1984).
V. Degiorgio, in Physics of Amphiphiles: Micelles, Vesicles and Mi-croemulsions V. Degiorgio and M. Corti, eds. ( North-Holland, Ams-terdam, 1985 ), p. 303.
V. Degiorgio, R. Piazza, M. Corti and C. Minero, J. Phys. Chem. 82 1025 (1985).
M. Corti and V. Degiorgio, Phys. Rev. Lett. 55, 2005 (1985).
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.
J. Lang and R. D. Morgan, J. Chem. Phys. 73, 5849 (1980).
K. Hamono, N. Kuwahara, T. Koyama and S. Harada, Phys. Rev. A 32, 3168 (1985).
Y. Dormoy, E. Hirsch, S. J. Candau and R. Zana, Progress in Coll. Polymer Sci. 73, 81 (1987).
R. Strey and A. Pakusch, in Surfactants in Solution, K. L. Mittal and P. Bothorel, eds. ( Plenum Press, New York, 1987 ) p. 456.
J. Appell and G. Porte, J. Phys. 44, L689 (1983).
O. Abillon, D. Chatenay, D. Langevin and J. Meunier, J. Phys. Lett. 45, L223 (1984).
J. S. Huang and M. W. Kim, Phys. Rev. Lett. 47, 1462 (1981).
R. Dorshow, F. de Buzzaccarini, C. A. Bunton and D. F. Nicoli, Phys. Rev. Lett. 47, 1336 (1981).
G. Fourche, A. M. Bellocq and S. Brunetti, J. Colloid Interface Sci. 89, 417 (1982).
A. M. Bellocq, D. Bourbon and B. Lemanceau, J. Colloid Interface Sci. 79, 419 (1981).
A. M. Bellocq, D. Bourbon, B. Lemanceau and G. Fourche, J. Colloid Interface Sci. 89, 427 (1982).
D. Roux and A. M. Bellocq, Phys. Rev. Lett. 52, 1895 (1984).
P. Honorat, D. Roux and A. M. Bellocq, J. de Physique Lett. 45 L961 (1984).
A. M. Bellocq, P. Honorat and D. Roux, J. de Physique 46, 743 (1985).
A. M. Bellocq and D. Roux, in Microemulsions, Structure and Dy-namics, S. Friberg and P. Bothorel, eds. ( CRC Press, 1987 ) p. 33.
D. Roux and A. M. Bellocq, in Surfactants in Solution, K. L. Mittal and P. Bothorel, eds. ( Plenum, New York, 1987 ) p. 1247.
A. M. Bellocq, P. Honorat and D. Roux, ibid. p. 1263.
A. M. Cazabat, D. Langevin, J. Meunier and A. Pouchelon, Adv. in Colloid Interface Sci. 16, 175 (1982).
A. M. Cazabat, D. Langevin, J. Meunier and A. Pouchelon, J. de Physique Lett. 43, L-89 (1982).
M. W. Kim and J. S. Huang, Phys. Rev. B26, 2703 (1982).
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.
W. M. Kim, J. Bock and J. S. Huang, Phys. Rev. Lett. 54, 46 (1985).
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.
M. Kotlarchyk and S. H. Chen, J. Phys. Chem. 86 3273 (1982).
M. Kotlarchyk, S. H. Chen, J. S. Huang and M. W. Kim, Phys. Rev. A 29 2054 (1984).
M. Korlarchyk, S. H. Chen and J. S. Huang, Phys Rev. A28, 508 (1983).
C. Toprakcioglu, J. C. Dore, B. H. Robinson, A. Howe and P. J. Chieux, J. Chem. Soc. Faraday Trans. 80, 413 (1984).
M. Kahlweit and R. Strey, Angew. Chem. 24, 654 (1985).
M. Kahlweit, R. Strey and P. Firman, J. Phys. Chem. 90, 671 (1986).
M. Kahlweit and R. Strey, J. Phys. Chem. 90, 5239 (1986).
M. Kahlweit and R. Strey, J. Phys. Chem. 91, 1553 (1987).
H. Kunieda and T. Arai, Bull. Chem. Soc. Jpn 57, 281 (1984).
H. Kunieda, J. Colloid Interface Sci. 122, 138 (1988).
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).
R. R. Balmbra, J. S. Clunie, J. M. Corkill and J. F. Goodman, Trans. Faraday Soc. 58, 1661 (1962); 60, 979 (1964).
R. H. Ottewill, C. C. Storer and T. Walker, Trans. Faraday Soc. 63, 2796 (1967).
D. Attwood, J. Phys. Chem. 72, 339 (1968).
M. Zulauf and J. P. Rosenbush, J. Phys. Chem. 87, 856 (1983).
J. B. Hayter and M. Zulauf, Colloid Polym. Sci. 260, 1023 (1982).
M. Zulauf, K. Wechstrom, J. B. Hayter, V. Degiorgio and M. Corti, J. Phys. Chem. 89, 3411 (1985).
L. Reatto and M. Tau, Chem. Phys. Lett. 108, 292 (1984).
R. Triolo, L. J. Magid, J. S. Johnson and H. R. Child, J. Phys. Chem. 86, 3689 (1982).
D. J. Cebula and R. H. Ottewill, Colloid Polym. Sci. 260, 260 (1982).
J. C. Ravey, Colloid Interface Sci. 94, 289 (1983).
L. J. Magid, R. Triolo and J. S. Johnson, J. Phys. Chem. 88, 5730 (1984).
P. C. Nillsson, H. Wennerstrom and B. Lindman, J. Phys. Chem 87, 1377 (1983).
D. J. Mitchell, G. J. T. Tiddy, L. Waring, T. Bostock and M. P. McDonald, J. Chem. Soc. Faraday Trans. I 79. 975 (1983).
P. G. Neeson, B. R. Jennings and G. J. T. Tiddy, Chem. Phys. Lett. 95, 533 (1983).
R. Zana and C. Weill, J. de Physique Lett. 46, L954 (1985).
W. Binana-Limbelle and R. Zana, J. Colloid Interface Sci. 121, 81 (1988).
D. Roux, A. M. Bellocq and M. S. Leblanc, Chem. Phys. Lett. 94, 156 (1983).
S. A. Safran and L. A. Turkevich, Phys. Rev. Lett. 50, 1930 (1983).
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.
D. Roux and A. M. Bellocq, in Macro-and Microemulsions. The-ory and Practice,E. O. Shah, ed. (ACS Symposium Series 272 105 (1985)).
D. Roux, A. M. Bellocq and P. Bothorel, in Surfactants in Solution, K. L. Mittal and B. Lindman, eds. ( Plenum Press, 1984 ) p. 18443.
S. Bunetti, D. Roux, A. M. Bellocq, G. Fourche and P. Bothorel, J. Phys. Chem. 887, 1023 (1983).
A. M. Cazabat and D. Langevin, J. Chem. Phys. 74, 3148 (1981).
B. Lemaire, P. Bothorel and D. Roux, J. Phys. Chem. 87, 1023 (1983).
A. M. Bellocq in Physics of Complex and Supermolecular Fluids, A. S. Safran and N. A. Clark, eds. ( Wiley, New York, 1987 ).
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).
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.
M. Dvolaitzky, M. Guyot, M. Lagues, J. P. Le Pesant, R. Ober, C. Sauterey and C. Taupin, J. Chem. Phys. 69, 3279 (1978).
R. Ober and C. Taupin, J. Phys. Chem. 84, 2418 (1980).
A. M. Cazabat, in Colloides et Interfaces (Editions de Physique, 1984 ) p. 323.
M. Lages, R. Ober and C. Taupin, J. de Physique Lett. 39, L487 (1987).
B. Lagourette, J. Peyrelasse, C. Boned and M. Clausse, Nature 281, 60 (1979).
A. M. Cazabat, D. Langevin, J. Meuiner, O. Abillon and D. Chate-nau, in Macro-and Microemulsions (ACS Symposium Series, 1985 ) p. 75.
P. Guering and A. M. Cazabat, J. de Physique Lett. 44, L-601 (1983).
R. Zana, J. Lang, O. Sorba, A. M. Cazabat and D. Langevin, J. de Physique Lett. 43, L-829 (1982).
D. Chatenay, W. Urbach, A. M. Cazabat and D. Langevin, Phys. Rev. Lett. 54, 2253 (1985).
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.
J. Lang, A. Malliaris and A. Jada, J. Phys. Chem. 92, 1946 (1988).
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.
J. Tabony, M. Drifford and A. de Geyer, Chem. Phys. Lett. 96, 119 (1983).
C. M. Sorensen, Chem. Phys. Lett. 117, 606 (1985).
K. Kawasaki, Ann. Phys.(N.Y.) 61, 1 (1970).
Y. Shnidman, Phys. Rev. Lett. 56, 2546 (1986).
M. E. Fisher, Phys. Rev. Lett. 57, 1911 (1986).
G. Caflisch, M. Kaufman and J. R. Banavar, Phys. Rev. Lett. 56, 2545 (1985).
C. Bagnuls and C. Bervillier, Phys. Rev. Lett. 58, 435 (1987).
G. Dietler and D S Cannell, Phys. Rev. Lett. 60, 1852 (1988).
J. P. Wilcoxon and E. W. Kaler, J. Chem. Phys. 86, 4684 (1987).
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.
D. Gazeau, Thesis, Bordeaux 1989, and A. M. Bellocq and D. Gazeau, J. Phys. Chem. 94, 8933 (1990).
D. Roux and A. M Bellocq, in Statistical Thermodynamics of Micelles and Microemulsions, S. H. Chen and R. Rajagopalan, eds. ( Springer, Heidelberg, 1990 ).
N. Rebbouh, J. Buchert and J. R Lalanne, Europhys. Lett. 4, 447 (1987).
P. Dorion, J. R. Lalanne, B. Pouligny, S. Imaizumi and C. W. Gar-land, J. Chem. Phys. 87, 578 (1987).
D. Gazeau, E. Freysz and A. M. Bellocq, Europhys. Lett. 9, 833 (1989).
D. Gazeau, A. M. Bellocq, D. Roux and T. Zemb, Europhys. Lett. 9, 447 (1989).
D. A. Huse and S. Leibler, J. de Physique 49, 605 (1988).
M. E. Cates, D. Roux, D. Andelman, S. T. Milner and S. A. Safran, Europhys. Lett. 5, 733 (1988).
It has been considered that the system can be described by two dif-ferent order parameters, weakly coupled.
V. G. Puglieli and N. C. Ford, Phys. Rev. Lett. 25, 143 (1970).
C. Coulon, D. Roux and A. M. Bellocq, Phys. Rev. Lett. 66, 1709 (1991).
H. Chaar, M. R. Moldover and J. W. Schmidt, J. Chem. Phys. 85, 418 (1986).
D. Langevin in Microemulsions: Structure and Dynamics, S. E. Friberg and P. Bothorel, eds. ( CRC Press, 1987 ) p. 173.
D. Roux, J. de Physique Paris, 47, 733 (1986).
E. Redysz, W. Claeys, A. Ducasse and B. Pouligny, IEEE J. of Qu. Electronics QE-22, 1258 (1986).
B. Jean-Jean, E. Freysz, A. Ducasse and B. Pouligny, Europhys. Lett. 7, 219 (1988).
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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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