Numerical test of the Percus-Yevick approximation for continuum media of adhesive sphere model at percolation threshold

Journal of Chemical Physics

Volumn 114, Issue 5, 2001, Pages 2304-2311

  Lee, Sang Bub ^a  

^a Kyungpook National University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONTINUUM MECHANICS; ESTIMATION; MATHEMATICAL MODELS; MONTE CARLO METHODS; PROBABILITY DISTRIBUTIONS;

PERCUS-YEVICK APPROXIMATION;

STATISTICAL MECHANICS;

EID: 0034836142     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1333681     Document Type: Article

References (37)

1. A. Coniglio, U. De Angelis, and A. Forlani, J. Phys. A 10, 1123 (1977);
2. A. Coniglio, U. De Angelis, A. Forlani, and G. Laur'o,' J. Phys. A ibid. 10, 219 (1977).
3. S. W. Han and R. Zwanzig, J. Phys. A 10, 1547 (1977).
4. Y. C. Chiew and E. D. Glandt, J. Phys. A 16, 2599 (1983).
5. G. Stell, J. Phys. A 17, L866 (1984).
6. Y. C. Chiew, G. Stell, and E. D. Glandt, J. Chem.Thys.-83, 761 (1985).
7. D. Stauffer and A. Aharony, Introduction to Percolation Theory (Taylor and Francis, London, 1992).
8. J. W. Essam, Rep. Prog. Phys. 43, 833 (1980).
9. S. Kirkpatrick, Rev. Mod. Phys. 45, 574 (1973).
10. R. J. Baxter, J. Chem. Phys. 49, 2790 (1968).
11. S. C. Kim (private communication).
12. J. K. Percus and G. J. Yevick, Phys. Rev. 110, 1 (1958);
13. see also J. K. Percus, Phys. Rev. Lett. 8, 462 (1962).
14. S. Torquato, J. D. Beasley, and Y. C. Chiew, J. Chem. Phys. 88, 6540 (1988).
15. N. A. Seaton and E. D. Glandt, J. Chem. Phys. 87, 1785 (1987);
16. see also J. Chem. Phys. 84, 4595 (1986), for two dimensions.
17. S. B. Lee, J. Chem. Phys. 98, 8119 (1993)
18. P. J. Reynolds, H. E. Stanley, and W. Klein, Phys. Rev. B 21, 1223 (1980).
19. T. Vicsek and K. Kertész, J. Phys. A 14, L31 (1980);
20. K. Kersész and T. Vicsek, Z. Phys.'B: Condens. Matter 45, 345 (1982).
21. S. B. Lee and S. Torquato, Phys. Rev. A 41, 5338 (1990).
22. N. A. Seaton and E. D. Glandt, J. Phys. A 20,3029 (1987);
23. J. Chem. Phys. 86,4668(1987).
24. N. Metropolis, A. W. Rosenbluth, M.-N. Rosenbluth, A. N. Teller, and E. Teller, J. Chem. Phys. 21, 1087 (1953).
25. S. B. Lee and S. Torquato, J. Chem. Phys. 89, 6427 (1988).
26. S. B. Lee and S. Torquato, J. Chem. Phys. 91, 1173 (1989).
27. S. Torquato, J. Chem. Phys. 81, 5079 (1984);
28. J. Chem. Phys. 84, 6345 (1986).
29. S. Kirkpatrick, Phys. Rev. Lett. 36, 69 (1976).
30. J. Hoshen, D. Stauffer, G. H. Bishop, R. J. Harrison, and G. D. Quinn, J. Phys. A 12, 1285 (1975).
31. D. Y. Kim, D. P. Landau, and H. J. Herrmann, Phys. Rev. B 35, 3661 (1987).
32. Balberg, Phys. Rev. B 37, 2391 (1988).
33. S. B. Lee, Phys. Rev. B 42, 4877 (1990).
34. S. B. Lee, Phys. Rev. E 53, 3319 (1996).
35. S. B. Lee and T. J. Yoon, J. Korean Phys. Soc. 33, 612 (1998).
36. J. G. Berryman, Phys. Rev. A 27, 1053 (1983).
37. F. Lado, J. Comput. Phys. 8, 417 (1971).