Fragmentation of percolation clusters in general dimensions

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

Volumn 59, Issue 5, 1999, Pages R4733-R4736

  Cheon, Mookyung ^a   Heo, Muyoung ^a   Chang, Iksoo ^a   Stauffer, Dietrich ^a,b  

^a Pusan National University   (South Korea)

^b UNIVERSITY OF COLOGNE   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001031815     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.59.R4733     Document Type: Article

References (30)

1. R.M. Ziff and E.D. McGrady, J. Phys. A 18, 3027 (1985)
2. E.D. McGrady and R.M. Ziff, Phys. Rev. Lett. 58, 892 (1987)
3. Phys. Rev. Lett.M. Sahimi and T.T. Tsotsis, 59, 888 (1987).
4. Z. Cheng and S. Redner, Phys. Rev. Lett. 60, 2450 (1988)
5. Z. ChengS. RednerJ. Phys. A 23, 1233 (1990).
6. A.R. Kerstein, J. Phys. A 22, 3371 (1989).
7. S. Redner, in Statistical Models for the Fracture of Disordered Media, edited by H.J. Hermann and S. Roux (Elsevier, New York, 1990).
8. A.Z. Mekjian, Phys. Rev. Lett. 64, 2125 (1990).
9. B.F. Edwards, M. Cai, and H. Han, Phys. Rev. A 41, 5755 (1990)
10. Phys. Rev. AM. Cai, B.F. Edwards, and H. Han, 43, 656 (1991).
11. M.F. Gyure and B.F. Edwards, Phys. Rev. Lett. 68, 2692 (1992).
12. B.F. Edwards, M.F. Gyure, and M. Ferer, Phys. Rev. A 46, 6252 (1992).
13. D. Stauffer and A. Aharony, Introduction to Percolation Theory, 2nd ed. (Taylor & Francis, London, 1991)
14. M. Sahimi, Application of Percolation Theory (Taylor & Francis, London, 1994)
15. A. Bunde and S. Havlin, Fractals and Disordered Systems (Springer, Heidelberg, 1996).
16. R. Becker and W. Döring, Ann. Phys. (Leipzig) 25, 719 (1935)
17. J.L. Katz, H. Saltsburg, and H. Reiss, J. Colloid Interface Sci. 21, 650 (1966)
18. Z. Alexandrowicz, J. Phys. A 26, L655 (1993)
19. M. Behrens and D. Stauffer, Ann. Phys. (N.Y.) 2, 105 (1993);D. Stauffer and I. Chang, J. Stat. Phys. (to be published).
20. J.F. Gouyet, Physica A 168, 581 (1990)
21. J.F. GouyetPhys. Rev. B 47, 5446 (1993)
22. Phys. Rev. BJ.F. Gouyet and Y. Boughaleb, 40, 4760 (1989).
23. S. Roux and E. Guyon, J. Phys. A 22, 3693 (1989).
24. Jean-Marc Debierre, Phys. Rev. Lett. 78, 3145 (1997).
25. P.L. Leath, Phys. Rev. B 14, 5046 (1976).
26. Mookyung Cheon and Iksoo Chang, Springer Proceedings in Physics, edited by D.P. Landau, K.K. Mon, and H.-B. Schuttlet, Computer Simulation Studies in Condensed Matter Physics VIII Vol. 83 (Springer-Verlag, Berlin, 1997) p. 161.
27. J.L. Gammel, in Padé Approximants and Their Applications, edited by B.R. Gravis-Morris (Academic Press, New York, 1973).
28. J. Adler, I. Chang, and S. Shapira, Int. J. Mod. Phys. C 4, 1007 (1993).
29. J. Adler, Y. Meir, A. Aharony, A.B. Harris, and L. Klein, J. Stat. Phys. 58, 511 (1990)
30. J. Adler, M. Moshe, and V. Privman, Phys. Rev. B 26, 3958 (1982).