Approaching Criticality via the Zero Dissipation Limit in the Abelian Avalanche Model-Reference-Cited by-同舟云学术

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Approaching Criticality via the Zero Dissipation Limit in the Abelian Avalanche Model

Published:2015-03-24 Issue:6 Volume:159 Page:1369-1407
ISSN:0022-4715
Container-title:Journal of Statistical Physics
language:en
Short-container-title:J Stat Phys

Author:

Járai Antal A.,Redig Frank,Saada Ellen

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://link.springer.com/content/pdf/10.1007/s10955-015-1231-z.pdf

Reference33 articles.

1. Athreya, S.R., Járai, A.A: Infinite volume limit for the stationary distribution of Abelian sandpile models. Commun. Math. Phys. 249(1), 197–213 (2004). An erratum for this paper appeared in Commun. Math. Phys. 264(3), 843 (2006), with an electronic supplemental material

2. Bak, P., Tang, K., Wiesefeld, K.: Self-organized criticality. Phys. Rev. A 38(1), 364–374 (1988)

3. Benjamini, I., Lyons, R., Peres, Y., Schramm, O.: Uniform spanning forests. Ann. Probab. 29(1), 1–65 (2001)

4. Burton, R., Pemantle, R.: Local characteristics, entropy and limit theorems for spanning trees and domino tilings via transfer-impedances. Ann. Probab. 21(3), 1329–1371 (1993)

5. Dhar, D.: Self organized critical state of sandpile automaton models. Phys. Rev. Lett. 64(14), 1613–1616 (1990)

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