Precise determination of the critical percolation threshold for the three-dimensional 'Swiss cheese' model using a growth algorithm

Journal of Chemical Physics

Volumn 114, Issue 8, 2001, Pages 3659-3661

  Lorenz, Christian D ^a   Ziff, Robert M ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; CONTINUUM MECHANICS; DENSITY (SPECIFIC GRAVITY); MATHEMATICAL MODELS; MONTE CARLO METHODS; PERCOLATION (SOLID STATE);

CRITICAL PERCOLATION THRESHOLD; GROWTH ALGORITHM; MEMORY BLOCKING SCHEME; THREE DIMENSIONAL SWISS CHEESE MODEL;

SPHERES;

EID: 0035249441     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1338506     Document Type: Article

References (43)

1. I. Balberg and N. Binenbaum, Phys. Rev. B 28, 3799 (1983).
2. A. Dani and A. A. Ogale, Comp. Sci. Technol. 56, 911 (1996).
3. I. Balberg, N. Binenbaum, and N. Wagner, Phys. Rev. Lett. 52, 1465 (1984).
4. N. Provatas, M. Haataja, J. Asikainen et al., Colloids Surf., A 165, 209 (2000).
5. M. Nakamura, Phys. Rev. A 34, 3356 (1986).
6. I. Balberg and N. Binenbaum, Phys. Rev. A 35, 5174 (1987).
7. S. B. Lee, Phys. Rev. B 42, 4877 (1990).
8. S. Fen, B. I. Halperin, and P. N. Sen, Phys. Rev. B 35, 197 (1987).
9. Y. C. Chiew, J. Chem. Phys. 110, 10482 (1999).
10. J. Quintanilla and S. Torquato, J. Chem. Phys. 111, 5947 (1999).
11. M. D. Rintoul and S. Torquato, J. Chem. Phys. 105, 9258 (1996).
12. E. M. Sevick, P. A. Monson, and J. M. Ottino, J. Chem. Phys. 88, 1198 (1988).
13. J. Quintanilla and S. Torquato, Phys. Rev. E 54, 5331 (1996).
14. I. Balberg and N. Binenbaum, Phys. Rev. A 31, 1222 (1985).
15. J. Asikainen and T. Ala-Nissila, Phys. Rev. E 61, 5002 (2000).
16. B. Lorenz, I. Orgzal, and H. O. Heuer, J. Phys. A 26, 4711 (1993).
17. I. Balberg, Phys. Rev. B 37, 2391 (1988).
18. V. L. Nguyen and E. Canessa, Mod. Phys. Lett. B 13, 577 (1999).
19. S. B. Lee and S. Torquato, Phys. Rev. A 41, 5338 (1990).
20. J. Quintanilla, S. Torquato, and R. M. Ziff, J. Phys. A 33, L3991 (2000).
21. M. D. Rintoul and S. Torquato, J. Phys. A 30, L585 (1997).
22. E. T. Gawlinski and H. E. Stanley, J. Phys. A 14, L291 (1981).
23. M. Rosso, J. Phys. A 22, L131 (1989).
24. J. Kurkijärvi, Phys. Rev. B 9, 770 (1974).
25. M. Rosso, J. F. Gouyet, and B. Sapoval, Phys. Rev. Lett. 57, 3195 (1986).
26. F. D. K. Roberts and S. H. Storey, Biometrika 55, 258 (1968).
27. C. Domb. Biometrika 59, 209 (1972).
28. D. F. Holcomb, M. Iwasawa, and F. D. K. Roberts, Biometrika 59, 207 (1972).
29. G. E. Pike and C. H. Seager, Phys. Rev. B 10, 1421 (1974).
30. J. P. Gayda and H. Ottavi, J. Phys. (Paris) 35, 393 (1974).
31. D. H. Fremlin, J. Phys. (Paris) 37, 813 (1976).
32. S. W. Haan and R. Zwanzig, J. Phys. A 10, 1547 (1977).
33. Y. C. Chiew and G. Stell, J. Chem. Phys. 90, 4956 (1989).
34. J. G. Saven, J. L. Skinner, and J. R. Wright, J. Chem. Phys. 94, 6153 (1991).
35. C. D. Lorenz and R. M. Ziff, Phys. Rev. E 57, 230 (1998).
36. C. D. Lorenz and R. M. Ziff, J. Phys. A 31, 8147 (1998).
37. C. D. Lorenz, R. May, and R. M. Ziff. J. Stat. Phys. 98, 961 (2000).
38. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C, revised 2nd ed. (Cambridge University Press, Cambridge, 1992).
39. R. M. Ziff, P. T. Cummings, and G. Stell, J. Phys. A 17, 3009 (1984).
40. R. M. Ziff and P. N. Suding, J. Phys. A 30, 5351 (1997).
41. D. Stauffer and A. Aharony, An Introduction to Percolation Theory, revised 2nd ed. (Taylor and Francis, London. 1994).
42. R. M. Ziff and G. Stell, University of Michigan Report No. 88-4, 1988 (unpublished).
43. H. G. Ballesteros, L. A. Fernandez, V. Martin-Mayor et al., J. Phys. A 32, 1 (1999).