Universality in critical exponents for toppling waves of the BTW sandpile model on two-dimensional lattices

Physica A: Statistical Mechanics and its Applications

Volumn 318, Issue 1-2, 2003, Pages 92-100

  Hu, Chin Kun ^a   Lin, Chai Yu ^a  

^a INSTITUTE OF PHYSICS   (Taiwan)

Author keywords

Sandpile model; Self organized criticality; Universality; Wave of toppling

Indexed keywords

COMPUTER SIMULATION; ENERGY DISSIPATION; MONTE CARLO METHODS; PROBABILITY DISTRIBUTIONS;

SELF-ORGANIZED CRITICALITY;

CRYSTAL LATTICES;

EID: 0037302671     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(02)01411-5     Document Type: Conference Paper

References (33)

1. Stanley H.E. Introduction to Phase Transitions and Critical Phenomena. 1971;Oxford University Press, New York.
2. Kadanoff L.P. Physica A. 163:1990;1.
3. M.E. Fisher, in: M.S. Green (Ed.), Critical Phenomena, Proceedings of the E. Fermi International School of Physics, Varenna, 1970, Vol. 51, Academic, New York, 1971, p. 1.
4. Privman V., Fisher M. Phys. Rev. B. 30:1984;322.
5. Stauffer D., Aharony A. Introduction to Percolation Theory. 2nd Edition:1994;Taylor & Francis, London.
6. Hu C.-K. Phys. Rev. B. 46:1992;6592.
7. K. Binder (Ed.), Monte Carlo Methods in Statistical Physics, 2nd Edition, Topics in Current Physics, Vol. 7, Springer, Heidelberg, 1986.
8. Hu C.-K., Lin C.-Y., Chen J.-A. Phys. Rev. Lett. 75:1995;193. 2786(E).
9. Hu C.-K., Lin C.-Y., Chen J.-A. Physica A. 221:1995;80.
10. Hu C.-K., Lin C.-Y. Phys. Rev. Lett. 77:1996;8.
11. Hu C.-K., Wang F.-G. J. Korean Phys. Soc. 31:1997;271.
12. Lin C.-Y., Hu C.-K. Phys. Rev. E. 58:1998;1521.
13. Hsu H.-P., C. Lin S., Hu C.-K. Phys. Rev. E. 64:2001;16,127.
14. Watanabe H., Yukawa S., Ito N., Hu C.-K., Lin C.-Y., Ma W.-J. J. Phys. Soc. Japan. 70:2001;1537.
15. Wang F.-G., Hu C.-K. Phys. Rev. E. 56:1997;2310.
16. Hu C.-K., Chen J.-A., Lin C.-Y. Physica A. 266:1999;27.
17. Okabe Y., Kaneda K., Kikuchi M., Hu C.-K. Phys. Rev. E. 59:1999;1585.
18. Tomita Y., Okabe Y., Hu C.-K. Phys. Rev. E. 60:1999;2716.
19. Hu C.-K. Phys. Rev. B. 29:1984;5103, 5109.
20. Izmailian N.Sh., Hu C.-K. Phys. Rev. Lett. 86:2001;5160.
21. Bak P., Tang C., Weisenfeld K. Phys. Rev. Lett. 59:1987;381;
22. Bak P., Tang C., Weisenfeld K. Phys. Rev. A. 38:1988;364.
23. Bak P. How Nature Works. 1996;Springer, New York.
24. Frette V. et al. Nature. 379:1996;49.
25. M.De. Menech, A.L. Stella, e-print cond-mat/0103601 and Physica A 309 (2002) 289.
26. Dhar D. Phys. Rev. Lett. 64:1990;1613.
27. Priezzhev V.B. J. Stat. Phys. 74:1994;955.
28. Ivashkevich E.V., Ktitarev D.V., Priezzhev V.B. Physica A. 209:1994;347.
29. Dhar D., Manna S.S. Phys. Rev. E. 49:1994;2684.
30. Hu C.-K., Ivashkevich E.V., Lin C.-Y., Priezzhev V.B. Phys. Rev. Lett. 85:2000;4048.
31. C.-Y. Lin, C.-K. Hu, preprint.
32. C. Itzykson, J.M. Drouffe, Statistical Field Theory, Vol. 2, Cambridge University Press, Cambridge, 1992, p. 738.
33. R. Karmakar, S.S. Manna, preprint.