Expansion and Contraction of Avalanches in 2D Abelian Sandpile

Details Expansion and Contraction of Avalanches in 2D Abelian Sandpile Expansion and Contraction of Avalanches in 2D Abelian Sandpile

1998-03-06

arxiv.org/abs/cond-mat/9803072v1

Physics

Condensed Matter

Statistical Mechanics

7 pages, 4 figures

Scientific paper

10.1103/PhysRevE.58.2883

We present a detailed analysis of large scale simulations of avalanches in the 2D Abelian sandpile model. We compare statistical properties of two different decompositions of avalanches into clusters of topplings and waves of topplings. Auxiliary critical exponents are introduced and the existence of the exponent governing the contraction of avalanches claimed in our previous work [Priezzhev et al, PRL 76,2093 (1996)] is confirmed. We also give more elaborated argumentation for the exact values of the exponents characterizing the statistics of waves.

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