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Statistics of toppling wave boundaries in deterministic and stochastic sandpile models

Authors :
S. Moghimi-Araghi
N. Azimi-Tafreshi
H. Dashti-Naserabadi
Source :
Journal of Physics A: Mathematical and Theoretical. 45:045001
Publication Year :
2011
Publisher :
IOP Publishing, 2011.

Abstract

We study numerically the statistics of curves which form the boundaries of toppling wave clusters in the deterministic Bak, Tang and Wiesenfeld sandpile model and stochastic Manna model on a square lattice. We consider the Abelian version of each model. Multiple tests show that the boundary of toppling wave clusters in both deterministic and stochastic models can be described by SLEκ curves with diffusivity κ = 2.

Details

ISSN :
17518121 and 17518113
Volume :
45
Database :
OpenAIRE
Journal :
Journal of Physics A: Mathematical and Theoretical
Accession number :
edsair.doi...........3e548c52fb5e5261f507f8dd2dc10df7
Full Text :
https://doi.org/10.1088/1751-8113/45/4/045001