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1. Statistics of toppling wave boundaries in deterministic and stochastic sandpile models.

Author

Dashti-Naserabadi, H., Azimi-Tafreshi, N., and Moghimi-Araghi, S.

Subjects
*WAVE analysis, *LATTICE theory, *STATISTICS, *STOCHASTIC models, *NUMERICAL analysis, *CURVES, *MATHEMATICAL models, *MATHEMATICAL analysis
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. [ABSTRACT FROM AUTHOR]

Published
2012
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