Scaling of cluster mass between two lines in 3d percolation

Physica A: Statistical Mechanics and its Applications

Volumn 318, Issue 3-4, 2003, Pages 307-318

  Da Silva, Luciano R ^a,b   Paul, Gerald ^a   Havlin, Shlomo ^a,c   Baker, Don R ^a,d   Stanley, H Eugene ^a  

^a Boston University   (United States)

^b FEDERAL UNIVERSITY OF RIO GRANDE DO NORTE   (Brazil)

^c BAR ILAN UNIVERSITY   (Israel)

^d MCGILL UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FRACTALS; PERCOLATION (FLUIDS); POROUS MATERIALS;

CLUSTER MASS;

STATISTICAL MECHANICS;

EID: 0037442608     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(02)01387-0     Document Type: Article

References (22)

1. A. Bunde, S. Havlin (Eds.), Fractal and Disordered Systems, 2nd Edition, Springer, Berlin, 1996, and references therein.
2. Ben-Avraham D., Havlin S. Diffusion and Reactions in Fractals and Disordered Systems. 2000;Cambridge University Press, Cambridge.
3. Stauffer D., Aharony A. Introduction to Percolation Theory. 1992;Taylor and Francis, London.
4. Sahimi M. Applications to Percolation Theory. 1992;Taylor and Francis, London.
5. Herrmann H.J., Stanley H.E. Phys. Rev. Lett. 53:1984;1121.
6. Stanley H.E. J. Phys. A: Math. Gen. 10:1977;L211.
7. Coniglio A. Phys. Rev. Lett. 46:1981;250.
8. Havlin S., Ben-Avrahan P. Adv. Phys. 36:1987;695.
9. Dokholyan N.V., Lee Y., Buldyrev S.V., Havlin S., King P.R., Stanley H.E. J. Stat. Phys. 93:1998;603.
10. Lee Y., Andrade J.S. Jr., Buldyrev S.V., Havlin S., King P.R., Paul G., Stanley H.E. Phys. Rev. E. 60:1999;3425.
11. Andrade J.S. Jr., Buldyrev S.V., Dokholyan N., King P.R., Lee Y., Havlin S., Stanley H.E. Phys. Rev. E. 62:2000;8270.
12. Barthélémy M., Buldyrev S.V., Havlin S., Stanley H.E. Scaling for the critical percolation backbone. Phys. Rev. E. 60:1999;R1123.
13. G. Paul, S. Havlin, H.E. Stanley, Phys. Rev. E 65 (2002) 066105.
14. Grassberger P. J. Phys. A: Math. Gen. 32:1999;6233.
15. Ziff R.M. J. Phys. A. 32:1999;L457.
16. da Silva L.R., Paul G., Havlin S., Baker D.R., Stanley H.E. Physica A. 314:2002;140.
17. P.R. King, in: A.T. Buller, et al. (Eds.), North Sea Oil and Gas Reservoirs, Vol. II, Graham and Trotman, London, 1990.
18. Paul G., Ziff R.M., Stanley H.E. Phys. Rev. E. 64:2001;026115.
19. Lorenz C.D., Ziff R.M. Phys. Rev. E. 57:1998;230.
20. Ziff R.M., Stell G., Strenski P.N., Bradley R.M., Debierre J.M. Phys. Rev. Lett. 66:1991;133.
21. Rintoul M.D., Nakanishi H. J. Phys. A. 27:1994;5445.
22. Cardy J.L. Nucl. Phys. B. 240:1984;514.