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Bibliography

1
For a review of applications of lattice Boltzmann and lattice gas methods, see S. Chen and G. Doolen, Annu. Rev. Fluid Mech. 30, 329 (1998) and D. H. Rothman and S. Zaleski, Rev. Mod. Phys., 66, 1417 (1994).

2
X. Shan and H. Chen, Phys. Rev. E 47, 1815 (1992); ibid 49, 2941 (1994).

3
M. R. Swift, W. R. Osborn, and J. M. Yeomans, Phys. Rev. Lett. 75, 830 (1995); W. R. Osborn, E. Orlandini, M. R. Swift, J. M. Yeomans, and J. R. Banavar, ibid 75, 4031 (1995).

4
A. K. Gunstensen, D. H. Rothman, S. Zaleski, and G. Zanetti, Phys. Rev. A 43, 4320 (1991); A. K. Gunstensen, Ph.D. thesis, M.I.T., (1992); A. K. Gunstensen and D. H. Rothman, Europhys. Lett. 18, 157 (1992); J. Geophys. Res. 98, 6431 (1993).

5
N. S. Martys and H. Chen, Phys. Rev. E 53, 743 (1996).

6
F.M. Auzerais, J. Dunsmuir, B. B. Ferréol, N. Martys, J. Olson, T.S. Ramakrishnan, D. H. Rothman, and L. M. Schwartz, J. Geophys. Res. 23, 705 (1996).

7
N. S. Martys, X. Shan and H. Chen, Phys. Rev. E, 58, 6855 (1998).

8
S. Chapman and T.G. Cowling, The Mathematical Theory of Non-Uniform Gases, 3rd ed., Cambridge University Press, London, (1970).

9
R.L. Liboff, Kinetic Theory, 2nd ed., John Wiley & Sons, (1998).

10
N. S. Martys, Int. J. Mod. Phys. C, 10, 1367 (1999).

11
J. W. Cahn and J. E. Hilliard, J. Chem. Phys. 28, 258 (1958); 31, 688 (1959).

12
J. W. Cahn, Trans. Metall. Soc. AIME 242, 166 (1968).

13
A. J. Bray, Adv. Phys. 43, 357 (1994).

14
J. D. Gunton, M. Miguel and P.S. Sahni, Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowicz (Academic Press, N.Y. 1983), Vol. 9.

15
S. C. Glotzer, Ann. Rev. Comput. Phys. 2, 1 (1995).

16
E. Orlandini, M. R. Swift, and J. S. Yeomans, Europhys. Lett. 32, 463 (1995).

17
H. E. Stanley, Introduction to Phase Transitions and Critical Phenomena (Oxford University Press, NY, 1971).

18
R. J. Baxter, Exactly Solved Models in Statistical Mechanics (Academic Press, N.Y., 1982).

19
A. R. Miller, The Theory of Solutions of High Polymers (Clarendon Press, Oxford, 1948).

20
J. H. Hildebrand and R. L. Scott, The Solubility of Non-Electrolytes (Reinhold, N.Y., 1950).

21
P. J. Flory, Principals of Polymer Chemistry (Cornell University Press, Ithaca, 1953); P. G. de Gennes, Scaling Concepts in Polymer Science (Cornell University Press, Ithaca, 1979).

22
K. F. Freed and J. Dudowicz, Theor. Chim. Acta 82, 357 (1992).

23
Y.H. Qian, D. d'Humières, and P. Lallemand, Europhys. Lett. 17 479 (1992).

24
H. Chen, S. Y. Chen, and W. H. Matthaeus, Phys. Rev. A, 45 R5339 (1992).

25
X. Shan, and G. Doolen, Phys. Rev. E 54, 3614 (1996).

26
R. Perl and R. A. Ferrel, Phys. Rev. A 6, 2358 (1972); R.A. Ferrel, Phys. Rev. Lett. 24, 1169 (1970). See also: J. F. Douglas, Macromolecules 25, 1468 (1992).

27
K. Kawasaki, Ann. Phys. (N.Y.) 61, 1 (1970).

28
O. Onuki and K. Kawasaki, Ann. Phys. 121, 456 (1979).

29
O. Onuki, K. Yamazaki, and K. Kawasaki, Ann. Phys. 131, 217 (1981).

30
J. V. Sengers, Int. J. Thermophys. 6, 203 (1985); H. C. Burstyn and J. V. Sengers, Phys. Rev. Lett. 45, 259 (1980); Phys. Rev. A 25, 448 (1982).

31
P. Stepanek, T. P. Lodge, C. Kedrowski, and F. S. Bater, J. Chem. Phys. 94, 8289 (1991).

32
J. C. Nieuwoudt and J. V. Sengers, J. Chem. Phys. 90, 457 (1989).

33
J. Dudowicz, M. Lifschitz, K. F. Freed, and J. F. Douglas, J. Chem. Phys. 99, 4804 (1993), M. Lifschitz, J. Dudowicz, and K. F. Freed, J. Chem. Phys. 100, 3957 (1994).

34
A. Sariban and K. Binder, J. Chem. Phys. 86, 5859 (1987).

35
D. A. McQuarrie, Statistical Mechanics (Harper and Row, N.Y., 1976).

36
D. C. Mattis, Theory of Magnetism (Harper and Row, N.Y., 1985).

37
T. Lee and C. Yang, Phys. Rev. 87, 410 (1952).

38
N. D. Mermin and J. J. Rehr, Phys. Rev. A 4, 2408 (1971); N. D. Mermin, Phys. Rev. Lett., 26 169 (1971).

39
B. Widom and J. Rowlinson, J. Chem. Phys. 1670 (1970).

40
J. A. Zollweg and G. W. Mulholland, J. Chem. Phys. 57, 1021 (1972).

41
G. Stell and P. C. Hemmer, J. Chem. Phys. 56, 4274 (1972).

42
J. V. Sengers in Supercritical Fluids: Fundamentals for Applications ed. E. Kiran and J. M. H. Levelt Sengers (Kluver, Dordrecht, 1994), pgs. 231-271.

43
V. L. Ginzburg, Sov. Phys. Solid State 2, 1824 (1960).

44
M. A. Anisimov, S. B. Kiselev, J. V. Sengers and S. Tan, Physica A 188, 487 (1992).

45
P. G. de Gennes, J. Phys. Lett. (Paris) 38, L-441 (1977).

46
K. Binder, J. Chem. Phys. 79, 6378 (1983); Phys. Rev. A. 29, 341 (1984).

47
F. S. Bates, J. Rosedale, P. Stepanek, T. P. Lodge, P. Wiltzius, G. H. Fredrickson, R. P. Hjelm, Phys. Rev. Lett. 65, 1893 (1990).

48
E. K. Hobbie, L. Reed, C. C. Huang and C. C. Han, Phys. Rev. E 48,1579 (1993).

49
D. Schwahn, T. Schmackers and M. Mortensen, Phys. Rev. E. 52, R-1288 (1995).

50
J. H. M. Levelt Sengers and J.V. Sengers, Perspectives in Statistical Physics, ed. H. J. Raveché (North Holland Publ. Co., NY 1981).

51
S. V. Kazakov and N. I. Chernnova, Russ. J. Phys. Chem., 69, 1010 (1995).

52
A. A. Povodyrev, M. A. Anisimov and J. V. Sengers, Physica A 264, 345 (1999).

53
I. C. Sanchez, J. Phys. Chem. 93, 6983 (1989); P. Damay and F. Leclercq, J. Chem. Phys. 95, 590 (1991).

54
L. Cailletet and E. C. Mathias, Sianc Acad. Sci. Compt Rend. (Paris) 102, 1202 (1886); 104, 1563 (1887); E. A. Guggenheim, J. Chem. Phys. 13, 253 (1945).

55
J.W. Yu, J.F. Douglas, E.K. Hobbie, S. Kim, and C.C.Han, Phys. Rev. Lett., 78, 2664 (1997).

56
M.W. Pestak, R.R. Goldstein, M.H.W. Chan, J.R. de Bruyn, D.A. Balzarini and N.W. Ashcroft, Phys. Rev. B 35, 599 (1987); J.S. Rowlinson, Nature 319, 362 ((1985).

57
D. Blankschtein, G. M. Thurston, and G. B. Benedek, Phys. Rev. Lett. 54, 995, (1985); X.-H. Guo and S.-H. Chen, Phys. Rev. Lett. 64, 1979 (1990).

58
The dissimilarity in molecular size in a fluid mixture can be modeled in a more physically realistic way by including different size parameters for the interacing species in the specification of the collision operator in an Enskog type model of the particle interaction. See Appendix B and X. He, H. Shan, and G. Doolen, Phys. Rev. E 57, R13 (1998).

59
G. H. Gilmer, W. Gilmore, J. Huang, and W. W. Web, Phys. Rev. Lett. 14, 491 (1965).

60
D. Beaglehole, Phys. Rev. B 112, 330 (1982).

61
D. Beysens and M. Robert, J. Chem. Phys. 87, 3056 (1987).

62
D. G. Miles, Jr. and J. W. Schmidt, J. Chem. Phys. 92, 3881 (1990).

63
J. W. Schmidt, Physica A 172, 40 (1991).

64
J. W. Schmidt and M. R. Moldover, J. Chem. Phys. 99, 582 (1993).

65
A. Karim, G. P. Felcher and T. P. Russel, Macromolecules 27, 6973 (1994).

66
T. Karle, J. Klein and K. Binder, Phys. Rev. Lett. 77, 1318 (1998).

67
F. P. Buff, R. A. Lovett, F. H. Stillinger, Phys. Rev. Lett. 15, 621 (1965).

68
J. V. Sengers, J. M. J. Van Leeuwen and J. W. Schmidt, Physica A 172, 20 (1991).

69
A. Werner, F. Schmid, M. Müller and K. Binder, J. Chem. Phys. 107, 8175 (1997).

70
M. Müller, K. Binder and W. Oed, J. Chem. Soc. Farad. Trans. 91, 2369 (1995).

71
J. D. van der Waals, Z. Phys. Chem. 13, 657 (1894).

72
S. Fisk and B. Widom, J. Chem. Phys. 50, 3219 (1969).

73
J. Chem. Phys. 31, 680 (1959)

74
K. Binder, Adv. Polym. Sci. 112,, 181 (1994).

75
P. Chieux, J.-F. Jal, L. Hily, J. Dupuy, P. Leclercq and P. Damay, J. de Phys. IV C-5, 3 (1991).

76
V. G. Vaks, A. I. Larkin and S. A. Pikin, Zh. Eksp. Teor. Fix 51, 361 (1966) [JEPT 24, 240 (1967)].

77
M. R. Moldover, Phys. Rev. A. 31, 1022 (1985).

78
H. Chaar, M. R. Moldover and J. W. Schmidt, J. Chem. Phys. 85, 418 (1986); B. Widom, J. Stat. Phys. 52, 1343 (1988); I. Szleifer and B. Widom, J. Chem. Phys. 90, 7524 (1989).

79
I. Szleifer, J. Chem. Phys. 92, 6940 (1990).

80
The coexistence curve for
$\delta_M \ne 1 $M 1 is actually fairly symmetric in volume fraction units.

81
A. Karim, Ph.D. thesis, Northwestern University (unpublished).

82
R. L. Sammler, R. P. Dion, C. J. Carriere and A. Cohen, Rheol. Acta 31, 554 (1992).

83
S. H. Anastasiadis, I. Gencarz and J. T. Koberstin, Macromolecules 21, 2980 (1988).

84
D. Atack and O. K. Rice, Disc. Farad. Soc. 15, 210 (1953). See ref. [1] for a discussion of this data.

85
A. Stammer and B. A. Wolf, Polymer 39, 2065 (1998).

86
M. Heinrich and B. A. Wolf, Polymer 33, 1927 (1992).

87
B. Widom, J. Chem. Phys., 43, 3892 (1965)

88
J. F. Douglas, Macromolecules 25, 1468 (1992).

89
H. P. Deutsch and K. Binder, J. Phys. II 3, 1049 (1993); M Müller and K. Binder, Macromolecules 28, 1825 (1995).

90
J. Jacob, A. Kumar, M.A. Anisimov, A.A. Povodyrev, and J.V. Sengers, Phys. Rev. E 58 2188 (1998); B.M. Jaffer Ali and A. Kumar, Phys. Lett. A, 237, 257 (1998).

91
K.S. Pitzer, M. Conceicao, P. de Lima, D.R. Schreiber, J. Chem. Phys., 89 1854 (1985); D. R. Schreiber, M. Conceicao, P. de Lima and K.S. Pitzer, J. Chem. Phys. 91, 4087 (1987); R.R. Singh and K.S.Pitzer, J. Chem. Phys., 92 6775 (1990).

92
A. Sariban, K. Binder, D. W. Heerman, Phys. Rev. B. 35, 6873 (1987).

93
Y. C. Chou, W. I. Golburg, Phys. Rev. A. 23, 2105 (1979).

94
M. Takenaka, T. Izumitani and T. Hashimoto, Macromolecules 20, 2257 (1987).

95
B. P. Lee, J. F. Douglas, and S. C. Glotzer, Phys. Rev. E. 60, 5812 (1999).

96
L. P. McMaster, Adv. Chem. Ser. 142, 42 (1975); E. D. Siggia, Phys. Rev. A 20, 595, (1970).

97
S. Chen and T. Lookman, J. Stat. Phys., 81, 223 (1995).

98
M. R. Swift, E. Orlandini, W. R. Osborn and J. M. Yeomans, Phys. Rev. E 54, 5041 (1996).

99
J. Olson and D. H. Rothman, J. Stat. Phys. 81, 199 (1995).

100
F. J. Alexander, S. Chen, D. W. Grunau, Phys. Rev. B 48, 634 (1993).

101
F. Perrot, P. Guenoun, T. Baumberg and D. Beysens, Y. Garrabos and B. LeNeindre, Phys. Rev. Lett. 73, 688 (1994).

102
I.S. Miles and A. Zurek, Polym. Engr. Sci. 28 1796 (1988); G. M. Jordhamo, J.A. Manson and L.H. Sperling, Polym. Engr. Sci. 26, 517 (1986).

103
T. Hashimoto, K. Matsuzaka, E. Moses and A. Onuku, Phys. Rev. Lett. 74, 126 (1995); E. Moses, T. Kume and T. Hashimoto, ibid. 72, 2037 (1994); E. K. Hobbie, S. Kin. and C. C. Han, Macromolecules 30, 8245 (1997).

104
A. H. Krall, J. V. Sengers and K. Hamano, Phys. Rev. Lett. 69, 1963 (1992).

105
A. J. Wagner and J. M. Yeomans, Phys. Rev. E 59, 4366 (1999).

106
G. I. Taylor, Proc. Roy. Soc. Lond. A 138, 41 (1932); S. Tomotika, ibid. 150, 322 (1935).

107
M. San Miguel, M. Grant, and J. D. Gunton, Phys. Rev. A 31, 1001 (1985); L. Sung, A. Karim, J. F. Douglas, and C. C. Han, Phys. Rev. Lett. 76, 4368 (1996).

108
J. M. Rallison, J. Fluid Mech. 209, 465 (1981); H. A. Stone, Ann. Rev. Fluid Mech. 26, 65 (1994).

109
http://www.itl.nist.gov/div895/savg/example/index.html.

110
K. B. Migler, Phys. Rev. Lett. (to be published).

111
The incorporation of component specific surface interactions in multicomponent fluids requires a modification to the equilibrium distribution to maintain its positive definite property. This technical point will be discussed in a separate publication.

112
R. A. L. Jones, L. J. Norton, E. J. Kramer, F. S. Bates, P. Wiltzius, Phys. Rev. Lett. 66, 1326 (1991).

113
G. Krausch, C. A. Dai, E. J. Kramer and F. Bates, Phys. Rev. Lett. 71, 3669 (1993).

114
R. C. Ball and R. L. H. Essery, J. Phys. Cond. Matter 2, 10303 (1990).

115
S. Puri and K. Binder, Phys. Rev. A 46, R-4487 (1992); Phys. Rev. E 49, 5359 (1993).

116
J. F. Marko, Phys. Rev. E 48, 2861 (1993).

117
P. Wiltzius and A. Cumming, Phys. Rev. Lett. 66, 3000 (1991); C. Harrison, W. Rippard, A. Cumming, Phys. Rev. 52, 723 (1995).

118
M. López de Haro, E. G. D. Cohen, and J. M. Kincaid, J. Chem. Phys. 78, 2746 (1983).


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