Continuum theory of percolation and association

Physica A: Statistical Mechanics and its Applications

Volumn 231, Issue 1-3, 1996, Pages 1-19

  Stell, G ^a  

^a STONY BROOK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASSOCIATION REACTIONS; COLLOIDS; CORRELATION METHODS; FLUIDS; FUNCTIONS; MOLECULES; PERCOLATION (FLUIDS); RANDOM PROCESSES;

MOLECULAR FLUIDS; ORNSTEIN-ZERNIKE FORMALISM; SITE SITE THEORY;

CONTINUUM MECHANICS;

EID: 0043127250     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/0378-4371(96)00079-9     Document Type: Article

References (92)

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6. J.S. Høye and G. Stell, J. Chem. Phys. 65 (1976) 18; 66 (1977) 795; State Univ. Stony Brook, Coll. Eng. Appl. Sci. Report #307 (1977); G. Stell, G.N. Patey and J.S. Høye, in: Advances in Chemical Physics, Vol. 48, ed. S.A. Rice (Wiley, New York, 1981) p. 183.
7. J.S. Høye and G. Stell, J. Chem. Phys. 65 (1976) 18; 66 (1977) 795; State Univ. Stony Brook, Coll. Eng. Appl. Sci. Report #307 (1977); G. Stell, G.N. Patey and J.S. Høye, in: Advances in Chemical Physics, Vol. 48, ed. S.A. Rice (Wiley, New York, 1981) p. 183.
8. J.S. Høye and G. Stell, J. Chem. Phys. 65 (1976) 18; 66 (1977) 795; State Univ. Stony Brook, Coll. Eng. Appl. Sci. Report #307 (1977); G. Stell, G.N. Patey and J.S. Høye, in: Advances in Chemical Physics, Vol. 48, ed. S.A. Rice (Wiley, New York, 1981) p. 183.
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10. J.A. Given and G. Stell, in: On Clusters and Clustering: From Atoms to Fractals, ed. P.J. Reynolds (Elsevier, Amsterdam, 1993).
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14. J.W. Essam, in: Phase Transitions and Critical Phenomena, Vol. 2, eds. C. Domb and M.S. Green (Academic Press, London, 1972); A. Coniglio, U. de Angelio and A. Forlani, J. Phys. A 10 (1977) 1123; A. Coniglio, U. de Angelio, A. Forlani and G. Lauro, J. Phys. A 10 (1977) 219; A. Coniglio and J.W. Essam, J. Phys. A 10 (1977) 1917.
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18. G. Stell, in: Phase Transitions and Critical Phenomena, Vol. 5B, eds. C. Domb and S. Green (Academic Press, London, 1976).
19. G. Stell, Physica 29 (1963) 517.
20. G. Stell, in: Equilibrium Theory of Classical Fluids, eds. H.L. Frisch and J.L. Lebowitz ( Benjamin, New York, 1964).
21. G. Stell, in: Modern Theoretical Chemistry, Vol. 5A: Statistical Mechanics, ed. B. Berne, (Plenum, New York, 1977).
22. T.L. Hill, in: Statistical Mechanics (McGraw-Hill, New York, 1956).
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27. See, e.g., J.S. Høye and G. Stell, J. Chem. Phys. 67 (1977) 524. See also the subsequent work of Y. Rosenfeld and L. Blum, J. Chem. Phys. 85 (1986) 1556 and references therein.
28. See, e.g., J.S. Høye and G. Stell, J. Chem. Phys. 67 (1977) 524. See also the subsequent work of Y. Rosenfeld and L. Blum, J. Chem. Phys. 85 (1986) 1556 and references therein.
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33. For simple fluids, see J.S. Høye and G. Stell, J. Chem. Phys. 65 (1976) 18; 67 (1977) 439; Mol. Phys. 52 (1984) 1071; Int. J. Thermophys. 6 (1985) 561.
34. For simple fluids, see J.S. Høye and G. Stell, J. Chem. Phys. 65 (1976) 18; 67 (1977) 439; Mol. Phys. 52 (1984) 1071; Int. J. Thermophys. 6 (1985) 561.
35. For simple fluids, see J.S. Høye and G. Stell, J. Chem. Phys. 65 (1976) 18; 67 (1977) 439; Mol. Phys. 52 (1984) 1071; Int. J. Thermophys. 6 (1985) 561.
36. For simple fluids, see J.S. Høye and G. Stell, J. Chem. Phys. 65 (1976) 18; 67 (1977) 439; Mol. Phys. 52 (1984) 1071; Int. J. Thermophys. 6 (1985) 561.
37. For ionic and dipolar fluids, see J.S. Høye, J.L. Lebowitz and G. Stell, J. Chem. Phys. 61 (1974) 3253; G. Stell and S.F. Sun, ibid. 63 (1975) 5333; J.S. Høye and G. Stell, ibid. 67 (1977) 524; B. Larsen, G. Stell and K.C. Wu, ibid. 67 (1977) 530; G. Stell and B. Hafskjold, ibid. 74 (1981) 5278.
38. For ionic and dipolar fluids, see J.S. Høye, J.L. Lebowitz and G. Stell, J. Chem. Phys. 61 (1974) 3253; G. Stell and S.F. Sun, ibid. 63 (1975) 5333; J.S. Høye and G. Stell, ibid. 67 (1977) 524; B. Larsen, G. Stell and K.C. Wu, ibid. 67 (1977) 530; G. Stell and B. Hafskjold, ibid. 74 (1981) 5278.
39. For ionic and dipolar fluids, see J.S. Høye, J.L. Lebowitz and G. Stell, J. Chem. Phys. 61 (1974) 3253; G. Stell and S.F. Sun, ibid. 63 (1975) 5333; J.S. Høye and G. Stell, ibid. 67 (1977) 524; B. Larsen, G. Stell and K.C. Wu, ibid. 67 (1977) 530; G. Stell and B. Hafskjold, ibid. 74 (1981) 5278.
40. For ionic and dipolar fluids, see J.S. Høye, J.L. Lebowitz and G. Stell, J. Chem. Phys. 61 (1974) 3253; G. Stell and S.F. Sun, ibid. 63 (1975) 5333; J.S. Høye and G. Stell, ibid. 67 (1977) 524; B. Larsen, G. Stell and K.C. Wu, ibid. 67 (1977) 530; G. Stell and B. Hafskjold, ibid. 74 (1981) 5278.
41. For ionic and dipolar fluids, see J.S. Høye, J.L. Lebowitz and G. Stell, J. Chem. Phys. 61 (1974) 3253; G. Stell and S.F. Sun, ibid. 63 (1975) 5333; J.S. Høye and G. Stell, ibid. 67 (1977) 524; B. Larsen, G. Stell and K.C. Wu, ibid. 67 (1977) 530; G. Stell and B. Hafskjold, ibid. 74 (1981) 5278.
42. See ref. [11]; see also H.L. Friedman, in: Ionic Solution Theory (Interscience, New York, 1962).
43. T.L. Hill, J. Chem. Phys. 23 (1955) 617.
44. In some of our earlier work, such as in J. Xu and G. Stell, J. Chem. Phys. 89 (1988) 1101, the symbol H (1,2) rather than p(1,2) is used.
45. G. Stell, J. Phys. A 17 (1984) 1855.
46. Y. Chiew and E.D. Glandt, J. Phys. A 16 (1983) 2599.
47. Y. Chiew and G. Stell, J. Chem. Phys. 90 (1989) 4956.
48. J. Xu and G. Stell, State Univ. Stony Brook, Coll. Eng. and Appl. Sci. Report No. 511 (1988).
49. T. DeSimone, S. Demonlini and R.M. Stratt, J. Chem. Phys. 85 (1986) 391.
50. R.M. Ziff and G. Stell, Univ. of Michigan. Report No. LaSC 88-4 (1988).
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54. J.A. Given and G. Stell, J. Stat. Phys. 59 (1990) 981; J. Chem. Phys. 92 (1990) 4433.
55. W. Klein, Phys. Rev. B 26 (1982) 2677.
56. W. Klein and G. Stell, Phys. Rev. B 32 (1985) 7538.
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61. J.S. Høye and G. Stell, State Univ. Stony Brook, Coll. Eng. Appl. Sci. Report No. 307 (1977). The contents of this report appeared in Section 4A of G. Stell, G.N. Patey and J.S. Høye, in: Advances in Chemical Physics, Vol. 48, ed. S.A. Rice (Wiley, New York, 1981) p. 183, see its Eqs. (4.31)-(4.46) and accompanying text.
62. G. Stell, State Univ. Stony Brook, Coll. Eng. Appl. Sci. Report 460 (1985). This report, the text of the author's contribution to the Colston Symposium on Water and Aqueous Solutions, Bristol, England, was published in revised form as [8]. See also Y. Zhou and G. Stell, Fluid Phase Equilibria 79 (1992) 1; J. Chem. Phys. 98 (1993) 5777.
63. G. Stell, State Univ. Stony Brook, Coll. Eng. Appl. Sci. Report 460 (1985). This report, the text of the author's contribution to the Colston Symposium on Water and Aqueous Solutions, Bristol, England, was published in revised form as [8]. See also Y. Zhou and G. Stell, Fluid Phase Equilibria 79 (1992) 1; J. Chem. Phys. 98 (1993) 5777.
64. G. Stell, State Univ. Stony Brook, Coll. Eng. Appl. Sci. Report 460 (1985). This report, the text of the author's contribution to the Colston Symposium on Water and Aqueous Solutions, Bristol, England, was published in revised form as [8]. See also Y. Zhou and G. Stell, Fluid Phase Equilibria 79 (1992) 1; J. Chem. Phys. 98 (1993) 5777.
65. G. Stell, State Univ. Stony Brook, Coll. Eng. Appl. Sci. Report 460 (1985). This report, the text of the author's contribution to the Colston Symposium on Water and Aqueous Solutions, Bristol, England, was published in revised form as [8]. See also Y. Zhou and G. Stell, Fluid Phase Equilibria 79 (1992) 1; J. Chem. Phys. 98 (1993) 5777.
66. D. Chandler, J. Chem. Phys. 67 (1977) 113.
67. J.S. Høye and G. Stell, J. Chem. Phys. 65 (1976) 18.
68. P.T. Cummings and G. Stell, Mol. Phys. 44 (1981) 529.
69. B.M. Ladanyi and D. Chandler, J. Chem. Phys. 62 (1975) 4308.
70. D. Chandler, R. Silbey and B.M. Ladanyi, Mol. Phys. 46 (1982) 1335.
71. J.L. Lebowitz, S. Baer and G. Stell, Phys. Rev. 141 (1966) 198.
72. LR-bonds were used in Ref. [49] and f*-bonds in Ref. [47].
73. P.J. Rossky, B.M. Pettitt and G. Stell, Mol. Phys. 50 (1983) 1263.
74. F. Hirata, P.J. Rossky and B.M. Pettitt, J. Chem. Phys. 78 (1983) 4133; B.M. Pettitt and P.J. Rossky, ibid. 78 (1983) 7296.
75. F. Hirata, P.J. Rossky and B.M. Pettitt, J. Chem. Phys. 78 (1983) 4133; B.M. Pettitt and P.J. Rossky, ibid. 78 (1983) 7296.
76. Y. Zhou and G. Stell, J. Chem. Phys. 91 (1989) 4861, 4869, 4879; 98 (1993) 5777; Yu. V. Kalyuzhnyi, G. Stell, M.L. Llano-Restrepo, W.G. Chapman and M.F. Holovko, ibid. 101 (1994) 7939.
77. Y. Zhou and G. Stell, J. Chem. Phys. 91 (1989) 4861, 4869, 4879; 98 (1993) 5777; Yu. V. Kalyuzhnyi, G. Stell, M.L. Llano-Restrepo, W.G. Chapman and M.F. Holovko, ibid. 101 (1994) 7939.
78. Y. Zhou and G. Stell, J. Chem. Phys. 91 (1989) 4861, 4869, 4879; 98 (1993) 5777; Yu. V. Kalyuzhnyi, G. Stell, M.L. Llano-Restrepo, W.G. Chapman and M.F. Holovko, ibid. 101 (1994) 7939.
79. H.C. Andersen, J. Chem. Phys. 59 (1973) 4714; 61 (1974) 4985; also in: Modern Theoretical Chemistry, Vol. 5A: Statistical Mechanics, ed. B. Berne, (Plenum, New York, 1977).
80. H.C. Andersen, J. Chem. Phys. 59 (1973) 4714; 61 (1974) 4985; also in: Modern Theoretical Chemistry, Vol. 5A: Statistical Mechanics, ed. B. Berne, (Plenum, New York, 1977).
81. H.C. Andersen, J. Chem. Phys. 59 (1973) 4714; 61 (1974) 4985; also in: Modern Theoretical Chemistry, Vol. 5A: Statistical Mechanics, ed. B. Berne, (Plenum, New York, 1977).
82. D. Chandler and L.R. Pratt, J. Chem. Phys. 65 (1976) 2925; L.R. Pratt, J. Chem. Phys. 66 (1977) 147.
83. D. Chandler and L.R. Pratt, J. Chem. Phys. 65 (1976) 2925; L.R. Pratt, J. Chem. Phys. 66 (1977) 147.
84. M.S. Wertheim, J. Stat. Phys. 35 (1984) 19, 35.
85. K. Olaussen and G. Stell, J. Stat. Phys. 62 (1991) 221.
86. D. Chandler, in: The Liquid State of Matter: Fluids, Simple and Complex, eds. E.W. Montroll and J.L. Lebowitz, (North Holland, Amsterdam, 1982).
87. AM term is misprinted as 2 in that equation.
88. L.R. Pratt, Mol. Phys. 43 (1981) 1163. This paper includes a valuable discussion of the relation between the results of Andersen and those of Chandler and Pratt.
89. x functions, which are unity for the SS and SP models used here as examples.
90. P.J. Rossky and R.A. Chiles, Mol. Phys. 51 (1984) 661.
91. Yu V. Kalyuzhnyi and G. Stell, Mol. Phys. 78 (1993) 1247.
92. M of Chandler and Pratt except in the complete asociation limit, where the normalizations coincide.