Critical fluctuations and the equation of state of Van der Waals

A.Kostrowicka Wyczalkowska1, J.V Sengers2, M.A Anisimov2
1Department of Physics and Astronomy, George Mason University, 4400 University Drive, Fairfax, VA 22030, USA
2Department of Chemical Engineering, Institute for Physical Science and Technology, University of Maryland, College Park, MD 20742, USA

Tài liệu tham khảo

J.S. Rowlinson, in: J.L. Lebowitz (Ed.), Studies in Statistical Mechanics XIV, North-Holland, Amsterdam, 1988. Levelt Sengers, 2002 Abbot, 1973, A.I.Ch.E.J., 19, 596, 10.1002/aic.690190327 Anderko, 2000 Levelt Sengers, 1976, Physica A, 82, 319, 10.1016/0378-4371(76)90012-1 Martin, 1979, Ind. Eng. Chem., 18, 81 Walas, 1985 S.I. Sandler, 1998 Valderrama, 2003, Ind. Eng. Chem. Res., 42, 1603, 10.1021/ie020447b Fox, 1983, Fluid Phase Equilibria, 14, 45, 10.1016/0378-3812(83)80114-9 Albright, 1986, Int. J. Thermophys., 7, 75, 10.1007/BF00503800 van Pelt, 1994, Int. J. Thermophys., 15, 687, 10.1007/BF03354059 Kiselev, 1998, Fluid Phase Equilibria, 147, 7, 10.1016/S0378-3812(98)00222-2 Kostrowicka Wyczalkowska, 1999, Fluid Phase Equilibria, 158–160, 523, 10.1016/S0378-3812(99)00070-9 Eu, 2001, J. Chem. Phys., 114, 10899, 10.1063/1.1375142 Kiselev, 2003, J. Chem. Phys., 119, 8645, 10.1063/1.1605375 Greer, 1981, Ann. Rev. Phys. Chem., 32, 233, 10.1146/annurev.pc.32.100181.001313 M.E. Fisher, in: F.J.W. Hahne (Ed.), Lecture Notes in Physics, Vol. 186, Springer, Berlin, 1983, p. 1. Sengers, 1986, Ann. Rev. Phys. Chem., 37, 189, 10.1146/annurev.pc.37.100186.001201 Anisimov, 1991 Chou, 1989, A.I.Ch.E.J., 35, 1487, 10.1002/aic.690350909 Leonhard, 1999, J. Supercritical Fluids, 16, 1, 10.1016/S0896-8446(99)00017-0 Kedge, 2002, Fluid Phase Equilibria, 194–197, 401, 10.1016/S0378-3812(01)00773-7 Chapela, 1974, J. Chem. Soc. Faraday Trans. I, 70, 584, 10.1039/f19747000584 Wooley, 1983, Int. J. Thermophys., 4, 51, 10.1007/BF00504481 Hill, 1988, Trans. ASME J. Heat Transfer, 110, 763, 10.1115/1.3250557 Hill, 1990, J. Phys. Chem. Ref. Data, 19, 1233, 10.1063/1.555868 C. Domb, M.S. Green (Eds.), Phase Transition and Critical Phenomena, Vol. 6, Academic Press, New York, 1976. Binney, 1992 Amit, 1984 Fisher, 1998, Rev. Mod. Phys., 70, 653, 10.1103/RevModPhys.70.653 Bagnuls, 2001, Phys. Rep., 348, 91, 10.1016/S0370-1573(00)00137-X J.M.H. Levelt Sengers, J.V. Sengers, in: H.J. Raveché (Ed.), Perspectives in Statistical Physics, North-Holland, Amsterdam, 1981. Bagnuls, 1985, Phys. Rev. B, 32, 7209, 10.1103/PhysRevB.32.7209 Bagnuls, 1987, Phys. Rev. B, 35, 3585, 10.1103/PhysRevB.35.3585 Bagnuls, 2002, Phys. Rev. B, 65, 149901(E), 10.1103/PhysRevB.65.149901 Bagnuls, 2002, Phys. Rev. E, 65, 066132, 10.1103/PhysRevE.65.066132 Nicoll, 1985, Phys. Rev. B, 31, 4576, 10.1103/PhysRevB.31.4576 Albright, 1987, Phys. Rev. B, 36, 877, 10.1103/PhysRevB.36.877 Chen, 1990, Phys. Rev. A, 41, 3161, 10.1103/PhysRevA.41.3161 Chen, 1990, Phys. Rev. A, 42, 4470, 10.1103/PhysRevA.42.4470 Belyakov, 1992, Physica A, 190, 75, 10.1016/0378-4371(92)90078-5 Kiselev, 1993, J. Chem. Phys., 98, 6455, 10.1063/1.464810 Kiselev, 1997, Fluid Phase Equilibria, 128, 1, 10.1016/S0378-3812(96)03173-1 Pelissetto, 1998, Phys. Rev. E, 58, 7146, 10.1103/PhysRevE.58.7146 Caracciolo, 1999, Nucl. Phys. B (Proc. Suppl.), 73, 757, 10.1016/S0920-5632(99)85195-0 Hahn, 2001, J. Rudnick, Phys. Rev. E, 63, 055104, 10.1103/PhysRevE.63.055104 Zhong, 2003, Phys. Rev. E, 67, 021106, 10.1103/PhysRevE.67.021106 Anisimov, 1992, Physica A, 188, 487, 10.1016/0378-4371(92)90329-O Kiselev, 1993, Int. J. Thermophys., 14, 1, 10.1007/BF00522658 Anisimov, 2000, 381 Parola, 1985, Phys. Rev. A, 31, 3309, 10.1103/PhysRevA.31.3309 Meroni, 1990, Phys. Rev. A, 42, 6104, 10.1103/PhysRevA.42.6104 Parola, 1995, Adv. Phys., 44, 211, 10.1080/00018739500101536 Reatto, 1996, J. Phys.: Condens. Matter, 8, 9221, 10.1088/0953-8984/8/47/010 Salvino, 1992, J. Chem. Phys., 96, 4559, 10.1063/1.462791 White, 1993, J. Chem. Phys., 99, 2012, 10.1063/1.465263 White, 1995, J. Chem. Phys., 103, 1922, 10.1063/1.469716 White, 1998, Int. J. Thermophys., 19, 1019, 10.1023/A:1022621205361 Tang, 1998, J. Chem. Phys., 109, 5935, 10.1063/1.477217 Lue, 1998, J. Chem. Phys., 108, 5529, 10.1063/1.475942 Jiang, 1999, J. Chem. Phys., 111, 5964, 10.1063/1.479892 Jiang, 2000, Fluid Phase Equilibria, 169, 127, 10.1016/S0378-3812(00)00299-5 Pini, 1998, Mol. Phys., 95, 483, 10.1080/00268979809483183 Caccamo, 1999, Phys. Rev. E, 60, 5533, 10.1103/PhysRevE.60.5533 Levelt Sengers, 1970, Ind. Eng. Chem. Fundam., 9, 470, 10.1021/i160035a027 Sengers, 1978, 103 Ley-Koo, 1981, Phys. Rev. A, 23, 2650, 10.1103/PhysRevA.23.2650 Yang, 1964, Phys. Rev. Lett., 13, 303, 10.1103/PhysRevLett.13.303 Fisher, 1964, J. Math. Phys., 5, 944, 10.1063/1.1704197 Vaks, 1967, Sov. Phys. JETP, 24, 240 Levanyuk, 1959, Sov. Phys. JETP, 9, 571 Liu, 1989, Physica A, 156, 35, 10.1016/0378-4371(89)90109-X Guida, 1997, Nucl. Phys. B, 489, 626, 10.1016/S0550-3213(96)00704-3 Guida, 1998, J. Phys. A, 31, 8103, 10.1088/0305-4470/31/40/006 Fisher, 1998, J. Phys. A, 31, L629, 10.1088/0305-4470/31/37/002 Campostrini, 1999, Phys. Rev. E, 60, 3526, 10.1103/PhysRevE.60.3526 Campostrini, 2002, Phys. Rev. E, 65, 066127, 10.1103/PhysRevE.65.066127 Pelissetto, 2002, Phys. Rep., 368, 549, 10.1016/S0370-1573(02)00219-3 Nicoll, 1981, Phys. Rev. A, 24, 2203, 10.1103/PhysRevA.24.2203 Nicoll, 1981, Phys. Rev. B, 23, 389, 10.1103/PhysRevB.23.389 Nicoll, 1985, Phys. Rev., 31, 4576, 10.1103/PhysRevB.31.4576 Agayan, 2001, Phys. Rev. E, 64, 026125, 10.1103/PhysRevE.64.026125 Tang, 1991, Physica A, 179, 344, 10.1016/0378-4371(91)90084-P Tang, 1991, Int. J. Thermophys., 12, 515, 10.1007/BF00502366 Tang, 1995, Int. J. Thermophys., 16, 1027, 10.1007/BF02093480 Tang, 1991, J. Supercritical Fluids, 4, 209, 10.1016/0896-8446(91)90012-U Jin, 1993, Phys. Rev. E, 47, 388, 10.1103/PhysRevE.47.388 van Pelt, 1995, J. Supercritical Fluids, 8, 81, 10.1016/0896-8446(95)90021-7 Povodyrev, 1996, Int. J. Thermophys., 17, 909, 10.1007/BF01439196 Edison, 1999, Int. J. Refrig., 22, 365, 10.1016/S0140-7007(99)00003-1 Kostrowicka Wyczalkowska, 1999, J. Chem. Phys., 111, 1551, 10.1063/1.479414 Kostrowicka Wyczalkowska, 2000, J. Chem. Phys., 113, 9139 Kim, 2003, J. Stat. Phys., 110, 591, 10.1023/A:1022199516676 Moldover, 1966, 79 Vicentini Missoni, 1969, J. Res. Nat'l. Bur. Stand., 73A, 563, 10.6028/jres.073A.043 Lee, 1952, Phys. Rev., 87, 410, 10.1103/PhysRev.87.410 Kostrowicka Wyczalkowska, 2002, J. Chem. Phys., 116, 4202, 10.1063/1.1449457 Mermin, 1971, Phys. Rev. Lett., 26, 957, 10.1103/PhysRevLett.26.957 Rehr, 1973, Phys. Rev. A, 8, 472, 10.1103/PhysRevA.8.472 Wilding, 1992, J. Phys.: Condens. Matter, 4, 3087, 10.1088/0953-8984/4/12/008 Ley-Koo, 1977, Phys. Rev. A, 16, 2483, 10.1103/PhysRevA.16.2483 Fisher, 2000, Phys. Rev. Lett., 85, 696, 10.1103/PhysRevLett.85.696 Orkoulas, 2000, J. Chem. Phys., 113, 7530, 10.1063/1.1308284 Orkoulas, 2001, Phys. Rev. E, 63, 051507, 10.1103/PhysRevE.63.051507 Kim, 2003, Phys. Rev. Lett., 91, 065701, 10.1103/PhysRevLett.91.065701 Kim, 2003, Phys. Rev. E, 67, 061506, 10.1103/PhysRevE.67.061506 Kouvel, 1964, Phys. Rev., 136, A1626, 10.1103/PhysRev.136.A1626 Gutkowski, 2001, J. Chem. Phys., 114, 3133, 10.1063/1.1338982 Bourgou, 1981, Phys. Rev. Lett., 47, 257, 10.1103/PhysRevLett.47.257 J.G. Shanks, Ph.D. Thesis, Department of Physics and Astronomy, University of Maryland, College Park, MD, 1985. Zalczer, 1990, J. Chem. Phys., 92, 6747, 10.1063/1.458259 Anisimov, 1995, Phys. Rev. Lett., 75, 3146, 10.1103/PhysRevLett.75.3146 Anisimov, 1999, Fluid Phase Equilibria, 158–160, 537, 10.1016/S0378-3812(99)00140-5 Liu, 1990, J. Stat. Phys., 58, 431, 10.1007/BF01112754 Povodyrev, 1999, Physica A, 345, 345, 10.1016/S0378-4371(98)00560-3 Orkoulas, 2000, Phys. Rev. E, 61, 5930, 10.1103/PhysRevE.61.5930 P.C. Hemmer. J.L. Lebowitz, in: C. Domb, M.S. Green (Eds.), Phase Transitions and Critical Phenomena, Vol. 5B, Academic Press, New York, 1976, p. 107. Carey, 1978, J. Chem. Phys., 69, 5040, 10.1063/1.436494 Cornelisse, 1997, J. Chem. Phys., 106, 9820, 10.1063/1.473872 Cornelisse, 2000, 193 Rowlinson, 1982 Erickson, 1987, Fluid Phase Equilibria, 37, 185, 10.1016/0378-3812(87)80051-1 de Pablo, 1989, Fluid Phase Equilibria, 50, 101, 10.1016/0378-3812(89)80285-7 de Pablo, 1990, Fluid Phase Equilibria, 59, 1, 10.1016/0378-3812(90)85143-X Vine, 1993, J. Chem. Soc. Faraday Trans., 89, 69, 10.1039/ft9938900069 Kiselev, 2000, Int. J. Thermophys., 21, 1373, 10.1023/A:1006657410862 Kiselev, 1999, Ind. Eng. Chem. Res., 38, 4993, 10.1021/ie990387i Kiselev, 2000, Fluid Phase Equilibria, 174, 93, 10.1016/S0378-3812(00)00420-9 Kiselev, 2001, Fluid Phase Equilibria, 183–184, 53, 10.1016/S0378-3812(01)00420-4 Hu, 2003, Fluid Phase Equilibria, 205, 1,25 Levelt Sengers, 1972, J. Chem. Phys., 56, 595, 10.1063/1.1676911 A.V. Voronel, in: C. Domb, M.S. Green (Ed.), Phase Transitions and Critical Phenomena, Vol. 5B, Academic Press, New York, 1976, p. 343.