Oslo rice pile model is a quenched Edwards-Wilkinson equation

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

Volumn 67, Issue 3 1, 2003, Pages

  Pruessner, Gunnar ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; EQUATIONS OF MOTION; FOURIER TRANSFORMS; GRANULAR MATERIALS; INITIAL VALUE PROBLEMS; INTERFACES (MATERIALS); LAPLACE TRANSFORMS; MATHEMATICAL MODELS; NUMERICAL METHODS; PROBABILITY DISTRIBUTIONS; PROBLEM SOLVING;

EDWARDS-WILKINSON EQUATION; OSLO RICE PILE MODEL; SELF ORGANIZED CRITICALITY;

RELAXATION PROCESSES;

EID: 45849155417     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (30)

1. V. Frette, K. Christensen, A. Malthe-Sørenssen, J. Feder, T. Jøssang, and P. Meakin, Nature (London) 379, 49 (1996).
2. H. J. Jensen, Self-Organized Criticality (Cambridge University Press, New York, 1998).
3. A. S. Datta, K. Christensen, and H. J. Jensen, Europhys. Lett. 50, 162 (2000).
4. P. L. Dorn, D. S. Hughes, and K. Christensen (2001), preprint available from http://www.cmth.ph.ic.ac.uk/kim/papers/preprints/preprint_btw.pdf.
5. S. Lise and M. Paczuski, Phys. Rev. E 64, 046111 (2001).
6. G. Pruessner and H. J. Jensen, Phys. Rev. E 65, 056707 (2002); cond-mat/0201306.
7. S. Zhang, Phys. Lett. A 233, 317 (1997).
8. M. Bengrine, A. Benyoussef, A. E. Kenz, M. Loulidi, and F. Mhirech, Eur. Phys. J. B 12, 129 (1999).
9. M. Bengrine, A. Benyoussef, F. Mhirech, and S. D. Zhang, Physica A 272, 1 (1999).
10. K. Christensen, A. Corral, V. Frette, J. Feder, and T. Jøssang, Phys. Rev. Lett. 77, 107 (1996).
11. M. Paczuski and S. Boettcher, Phys. Rev. Lett. 77, 111 (1996).
12. A. Corral and M. Paczuski, Phys. Rev. Lett. 83, 572 (1999).
13. A. Díaz-Guilera, Phys. Rev. A 45, 8551 (1992).
14. T. Nattermann, S. Stepanow, L.-H. Tang, and H. Leschhorn, J. Phys. II 2, 1483 (1992).
15. M. Alava, J. Phys.: Condens. Matter 14, 2352 (2002); cond-mat/0204226.
16. M. Dong, M. C. Marchetti, A. A. Middleton, and V. Vinokur, Phys. Rev. Lett. 70, 662 (1993).
17. P. Bak, C. Tang, and K. Wiesenfeld, Phys. Rev. Lett. 59, 381 (1987).
18. A. Vespignani, R. Dickman, M. A. Muñoz, and S. Zapperi, Phys. Rev. E 62, 4564 (2000); cond-mat/0003285.
19. A. Malthe-Sørenssen, Phys. Rev. E 59, 4169 (1999).
20. R. Calfiero, V. Loreto, L. Pietronero, A. Vespignani, and S. Zapperi, Europhys. Lett. 29, 111 (1995).
21. H. Leschhorn, T. Nattermann, S. Stepanow, and L.-H. Tang, Ann. Phys. (Leipzig) 6, 1 (1997); cond-mat/9603114.
22. P. Meakin, Fractals, Scaling and Growth Far from Equilibrium (Cambridge University Press, Cambridge, 1998).
23. A. A. Middleton, Phys. Rev. Lett. 68, 670 (1992).
24. J. P. Sethna, K. Dahmen, S. Kartha, J. A. Krumhansl, B. W. Roberts, and J. D. Shore, Phys. Rev. Lett. 70, 3347 (1993).
25. H. Leschhorn, Physica A 195, 324 (1993).
26. P. Le Doussal, K. J. Wiese, and P. Chauve, Phys. Rev. B 66, 174201 (2002); cond-mat/0205108.
27. Y.-C. Zhang, Phys. Rev. Lett. 63, 470 (1989).
28. A. Chua and K. Christensen, cond-mat/0203260.
29. The substitution was already used earlier (see [15] and references therein).
30. For χ=5/4 one has D=9/4 and τ=14/9.