Sandpile model on a quenched substrate generated by kinetic self-avoiding trails

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 71, Issue 1, 2005, Pages

  Karmakar, R ^a   Manna, S S ^a  

^a S N BOSE NATIONAL CENTRE FOR BASIC SCIENCES   (India)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE-SIZE SCALING (FSS); SELF-ORGANIZED CRITICALITY (SOC); SPATIOTEMPORAL CORRELATIONS; TOPPLING MATRIX;

CORRELATION THEORY; FLOW OF FLUIDS; GRAIN SIZE AND SHAPE; NONLINEAR SYSTEMS; QUENCHING; STATISTICAL MECHANICS; TRANSPORT PROPERTIES; VECTORS;

KINETIC THEORY;

EID: 37649032325     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.71.015101     Document Type: Article

References (26)

1. P. Bak, C. Tang, and K. Wiesenfeld, Phys. Rev. Lett. 59, 381 (1987); Phys. Rev. A 38, 364 (1988).
2. P. Bak, C. Tang, and K. Wiesenfeld, Phys. Rev. Lett. 59, 381 (1987); Phys. Rev. A 38, 364 (1988).
3. S. S. Manna, J. Phys. A 24, L363 (1991).
4. L. Pietronero, A. Vespignani, and S. Zapperi, Phys. Rev. Lett. 72, 1690 (1994).
5. A. Vespignani, S. Zapperi, and L. Pietronero, Phys. Rev. E 51, 1711 (1995).
6. A. Chessa, H. E. Stanley, A. Vespignani, and S. Zapperi, Phys. Rev. E 59, R12 (1999).
7. A. Ben-Hur and O. Biham, Phys. Rev. E 53, R1317 (1996).
8. S. Lübeck, Phys. Rev. E 61, 204 (2000).
9. O. Biham, E. Milshtein, and O. Malcai, Phys. Rev. E 63, 061309 (2001).
10. P. Bak, How Nature Works: The Science of Self-Organized Criticality (Copernicus, New York, 1996).
11. D. Dhar, e-print cond-mat/9909009.
12. A. Sornette and D. Sornette, Europhys. Lett. 9, 197 (1989).
13. B. Drossel and F. Schwabl, Phys. Rev. Lett. 69, 1629 (1992)
14. P. Bak and K. Sneppen, Phys. Rev. Lett. 71, 4083 (1993).
15. M. De Menech, A. L. Stella, and C. Tebaldi, Phys. Rev. E 58, R2677 (1998).
16. C. Tebaldi, M. De Menech, and A. L. Stella, Phys. Rev. Lett. 83, 3952 (1999).
17. R. Karmakar, S. S. Manna, and A. L. Stella, e-print cond-mat/0312127.
18. A. Malakis, J. Phys. A 8, 1885 (1975); 9, 1283 (1976).
19. A. Malakis, J. Phys. A 8, 1885 (1975); 9, 1283 (1976).
20. S. Hemmer and P. C. Hemmer, J. Chem. Phys. 81, 584 (1984); I. Majid, N. Jan, A. Coniglio, and H. E. Stanley, Phys. Rev. Lett. 52, 1257 (1984); J. W. Lyklema and K. Kremer, J. Phys. A 17, L691 (1984).
21. S. Hemmer and P. C. Hemmer, J. Chem. Phys. 81, 584 (1984); I. Majid, N. Jan, A. Coniglio, and H. E. Stanley, Phys. Rev. Lett. 52, 1257 (1984); J. W. Lyklema and K. Kremer, J. Phys. A 17, L691 (1984).
22. S. Hemmer and P. C. Hemmer, J. Chem. Phys. 81, 584 (1984); I. Majid, N. Jan, A. Coniglio, and H. E. Stanley, Phys. Rev. Lett. 52, 1257 (1984); J. W. Lyklema and K. Kremer, J. Phys. A 17, L691 (1984).
23. P. Grassberger and S. S. Manna, J. Phys. (Paris) 51, 1077 (1990).
24. E. V. Ivashkevich, D. V. Ktitarev, and V. B. Priezzev, Physica A 209, 347 (1994).
25. D. V. Ktitarev, S. Lübeck P. Grassberger, and V. B. Priezzhev, Phys. Rev. E 61, 81 (2000).
26. M. De Menech and A. L. Stella, Phys. Rev. E 62, R4528 (2000).