Bootstrap Percolation: Visualizations and Applications

Brazilian Journal of Physics

Volumn 33, Issue 3, 2003, Pages 641-644

  Adler, Joan ^a   Lev, Uri ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0345491987     PISSN: 01039733     EISSN: None     Source Type: Journal    
DOI: 10.1590/S0103-97332003000300031     Document Type: Conference Paper

References (41)

1. J. Adler, Physica A171, 453 (1991).
2. S. Kirkpatrick, W. Wilcke, R. Garner, and H. Huels, Physica A314, 220 (2002).
3. http://phycomp.technion.ac.il/̃urilev/project.html
4. D. Kurtsiefer, Int. J. Mod. Phys. C 14, 529 (2003).
5. D. Saada, J. Adler, and R. Kalish, Phys. Rev. B59, 6650 (1999).
6. R. Kalish, T. Bernstein, B. Shapiro, and A. Talmi, Rad. Eff. 52, 153 (1980).
7. N. S. Branco and C.J. Silva, Int. J. Mod. Phys. C 10, 921 (1999).
8. J. Chalupa, P. L. Leath, and G. R. Reich, J. Phys. C.12, L31 (1981); P. M. Kogut, and P. L. Leath, J. Phys. C 14, 3187 (1981).
9. J. Chalupa, P. L. Leath, and G. R. Reich, J. Phys. C.12, L31 (1981); P. M. Kogut, and P. L. Leath, J. Phys. C 14, 3187 (1981).
10. M. Pollak and I. Riess 1975, Phys. Status Solidi b 69 K15 and R. Kopelman, private communication.
11. M. Pollak and I. Riess 1975, Phys. Status Solidi b 69 K15 and R. Kopelman, private communication.
12. J. Adler, R. Palmer, and H. Meyer, Phys. Rev. Lett. 58, 882 (1987).
13. E. W. Marshall and A. B. Harris, Phys. Rev. B 38, 4929 (1988), and references therein; M. Sahimi and S. Arbibi, Phy. Rev. B. 40, 4975 (1989).
14. E. W. Marshall and A. B. Harris, Phys. Rev. B 38, 4929 (1988), and references therein; M. Sahimi and S. Arbibi, Phy. Rev. B. 40, 4975 (1989).
15. D. Griffeath, Notices of the AMS 35, 1472 (1988) and G. Vichniac 1984 Physica 10 D, 96 and 1986 Disordered Systems and Biological Organization, Ed. E. Bienenstock, F. Fogelman-Soulie and G. Weisbuch, Nato Asi. series Vol 20 Springer, Heidelberg.
16. D. Griffeath, Notices of the AMS 35, 1472 (1988) and G. Vichniac 1984 Physica 10 D, 96 and 1986 Disordered Systems and Biological Organization, Ed. E. Bienenstock, F. Fogelman-Soulie and G. Weisbuch, Nato Asi. series Vol 20 Springer, Heidelberg.
17. D. Griffeath, Notices of the AMS 35, 1472 (1988) and G. Vichniac 1984 Physica 10 D, 96 and 1986 Disordered Systems and Biological Organization, Ed. E. Bienenstock, F. Fogelman-Soulie and G. Weisbuch, Nato Asi. series Vol 20 Springer, Heidelberg.
18. J. Adler and A. Aharony, J. Phys. A 21, 1387 (1988).
19. R. Lenormand and C. Zarcone 1984, Kinetics of Aggregation and Gelation ed. F. Family and D. P. Landau (Amsterdam: Elsevier), p.177, M. Cieplak and M. O. Robbins, Phys. Rev. Lett. 60, 2042 (1988); Phys. Rev. B 41, 11508 (1990).
20. R. Lenormand and C. Zarcone 1984, Kinetics of Aggregation and Gelation ed. F. Family and D. P. Landau (Amsterdam: Elsevier), p.177, M. Cieplak and M. O. Robbins, Phys. Rev. Lett. 60, 2042 (1988); Phys. Rev. B 41, 11508 (1990).
21. R. Lenormand and C. Zarcone 1984, Kinetics of Aggregation and Gelation ed. F. Family and D. P. Landau (Amsterdam: Elsevier), p.177, M. Cieplak and M. O. Robbins, Phys. Rev. Lett. 60, 2042 (1988); Phys. Rev. B 41, 11508 (1990).
22. http://phycomp.technion.ac.il/̃comphy/classfiles/percolation.html
23. J. Adler, A. Hashibon, A. Kanigel, I. Rosenblum and D. Saada, 1999, in Computer Simulation Studies in Condensed Matter Physics, XI, edited by D. Landau and B. Schuttler, Springer, p. 186-90; J. Adler, A. Hashibon and G. Wagner, in "Recent Developments in Computer Simulation Studies in Condensed Matter Physics, XIV", (2002) edited by D. Landau, S. P. Lewis and B. Schuttler, Springer, p. 160-5; Adler, A. Hashibon, N. Schreiber, A. Sorkin, S. Sorkin, and G. Wagner, Computer Physics Communications 147, 665 (2002).
24. J. Adler, A. Hashibon, A. Kanigel, I. Rosenblum and D. Saada, 1999, in Computer Simulation Studies in Condensed Matter Physics, XI, edited by D. Landau and B. Schuttler, Springer, p. 186-90; J. Adler, A. Hashibon and G. Wagner, in "Recent Developments in Computer Simulation Studies in Condensed Matter Physics, XIV", (2002) edited by D. Landau, S. P. Lewis and B. Schuttler, Springer, p. 160-5; Adler, A. Hashibon, N. Schreiber, A. Sorkin, S. Sorkin, and G. Wagner, Computer Physics Communications 147, 665 (2002).
25. J. Adler, A. Hashibon, A. Kanigel, I. Rosenblum and D. Saada, 1999, in Computer Simulation Studies in Condensed Matter Physics, XI, edited by D. Landau and B. Schuttler, Springer, p. 186-90; J. Adler, A. Hashibon and G. Wagner, in "Recent Developments in Computer Simulation Studies in Condensed Matter Physics, XIV", (2002) edited by D. Landau, S. P. Lewis and B. Schuttler, Springer, p. 160-5; Adler, A. Hashibon, N. Schreiber, A. Sorkin, S. Sorkin, and G. Wagner, Computer Physics Communications 147, 665 (2002).
26. AViz AtomicVizualization, 2001 Computational Physics Group, Israel Institute of Technology Technion, 32000 Haifa Israel, Geri Wagner, Adham Hashibon.
27. Unpublished results cited in Ref [8]
28. A. C. D. van Enter, J. Stat. Phys. 48, 943 (1988).
29. M. Aizenman and J.L. Lebowitz, J. Phys A 21 3801 (1988).
30. R. H. Schonmann, J. Stat. Phys. 58, 1239 (1990) and Physica AA 167, 619.
31. R. H. Schonmann, J. Stat. Phys. 58, 1239 (1990) and Physica AA 167, 619.
32. A. C. D. van Enter, private communication 2003.
33. R. Cerf and F. Manzo, Stoch. Proc. Appl. 101, 69 (2002); R. Cerf and E. M. N. Cirillo, Ann. Prob. 27, 1837 (1999).
34. R. Cerf and F. Manzo, Stoch. Proc. Appl. 101, 69 (2002); R. Cerf and E. M. N. Cirillo, Ann. Prob. 27, 1837 (1999).
35. A. Holyroyd, Probability Theory and Related Fields 125, 195 (2003).
36. T.S. Mountford, Stochastic Press. Appl. 95, 185 (1995), proved a conjecture from A. C. D. van Enter, J. Adler, and J. A. M. S. Duarte, 1990 J. Stat. Phys. 60, 323 (1990); A. C. D. van Enter, J. Adler, and J. A. M. S. Duarte, J. Stat. Phys. 62, 505 (1991).
37. T.S. Mountford, Stochastic Press. Appl. 95, 185 (1995), proved a conjecture from A. C. D. van Enter, J. Adler, and J. A. M. S. Duarte, 1990 J. Stat. Phys. 60, 323 (1990); A. C. D. van Enter, J. Adler, and J. A. M. S. Duarte, J. Stat. Phys. 62, 505 (1991).
38. T.S. Mountford, Stochastic Press. Appl. 95, 185 (1995), proved a conjecture from A. C. D. van Enter, J. Adler, and J. A. M. S. Duarte, 1990 J. Stat. Phys. 60, 323 (1990); A. C. D. van Enter, J. Adler, and J. A. M. S. Duarte, J. Stat. Phys. 62, 505 (1991).
39. http://phycomp.technion.ac.il/̃phr76ja/boot
40. L. Gray, Notices of the AMS 50, 200.
41. D. Stauffer, private communication 2003.