Effective boundary extrapolation length to account for finite-size effects in the percolation crossing function

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 54, Issue 3, 1996, Pages 2547-2554

  Ziff, Robert M ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001352740     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.54.2547     Document Type: Article

References (44)

1. J. Bernasconi, Phys. Rev. B18, 2185 (1978).
2. A P. Young and R B. Stinchcombe, J. Phys. C8, L535 (1975).
3. S. Kirkpatrick, in Proceedings of the Les Houches Summer School on Ill-Condensed Matter (North-Holland, Amsterdam, 1980).
4. P J. Reynolds, H E. Stanley and W. Klein, Phys. Rev. B21, 1223 (1980).
5. D. Stauffer and A. Aharony, An Introduction to Percolation Theory, revised 2nd ed. (Taylor and Francis, London, 1994).
6. C.-K. Hu, Phys. Rev. B46, 6592 (1992).
7. C.-K. Hu, Phys. Rev. B51, 3922 (1995).
8. C.-K. Hu and J.-A. Chen, J. Phys. A27, L813 (1994).
9. C.-K. Hu and J.-A. Chen, J. Phys. A28, L73 (1995).
10. C.-K. Hu, C.-Y. Lin and J.-A. Chen, Phys. Rev. Lett.75, 193 (1995).
11. R. Monetti and E. Albano, Zeit. Phys. B90, 351 (1993).
12. R P. Langlands, C. Pichet, Ph. Pouliot and Y. Saint-Aubin, J. Stat. Phys.67, 553 (1992).
13. R. Langlands, P. Pouliot and Y. Saint-Aubin, Bull. Am. Math. Soc.30, 1 (1994).
14. J L. Cardy, J. Phys. A25, L201 (1992).
15. R M. Ziff, J. Phys. A28, 1249 (1995), 28, 6479 (1995).
16. R M. Ziff, Phys. Rev. Lett.69, 2670 (1992).
17. A. Aharony and J.-P. Hovi, Phys. Rev. Lett.72, 1941 (1994).
18. R M. Ziff, Phys. Rev. Lett.72, 1942 (1994).
19. J.-P. Hovi and A. Aharony, Phys. Rev. E53, 235 (1996).
20. F. Yonezawa, S. Sakamoto and M. Hori, Phys. Rev. B40, 636 (1989).
21. M. Sahimi and H. Rassamdana, J. Stat. Phys.78, 1157 (1995).
22. U. Gropengiesser and D. Stauffer, Physica A210, 320 (1994).
23. D. Stauffer, J. Adler and A. Aharony, J. Phys. A27, L475 (1994).
24. U. Haas, Physica A215, 247 (1995).
25. R M. Ziff, P T. Cummings and G. Stell, J. Phys. A17, 3009 (1984).
26. P. Grassberger, J. Phys. A19, 2675 (1986).
27. J. M. F. Gunn and M. Ortuño, J. Phys. A18, L1095 (1985).
28. T W. Ruijgrok and E. G. D. Cohen, Phys. Lett. A133, 415 (1988).
29. R M. Ziff, Physica D38, 377 (1989).
30. P. Grassberger, J. Phys. A25, 5475 (1992).
31. A. Malakis, J. Phys. A8, 1885 (1975).
32. J W. Lyklema, J. Phys. A18, L617 (1985).
33. An annotated version of the program and output files can be obtained by e-mail from rziffengin.umich.edu.
34. R M. Ziff, J. Stat. Phys.65, 1217 (1991).
35. B. Berche, J.-M. Debierre and H.-P. Eckle, Phys. Rev. E50, 4542 (1994).
36. R M. Ziff, J. Stat. Phys.65, 1217 (1991).
37. L. Berlyand and J. Wehr, J. Phys. A28, 7127 (1995).
38. C.-K. Hu, Phys. Rev. Lett.76, 3875 (1996).
39. S. Golomb, Shift Register Sequences (Aegean Park Press, Laguna Hills, CA, 1982).
40. R M. Ziff (unpublished).
41. A M. Ferrenberg, D P. Landau and Y J. Wong, Phys. Rev. Lett.69, 3382 (1992).
42. P. Grassberger, Phys. Lett. A181, 43 (1993).
43. I. Vattulainen, T. Ala-Nissila and K. Kankaala, Phys. Rev. Lett.73, 2513 (1994).
44. S. Kirkpatrick and E P. Stoll, J. Comput. Phys.40, 517 (1981).