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Growth Rates and Explosions in Sandpiles (2009)

Abstract
We study the abelian sandpile growth model, where n particles are added at the origin on a stable background configuration in Z^d. Any site with at least 2d particles then topples by sending one particle to each neighbor. We find that with constant background height h . Comment: 15 pages, 4 figures

Publication details
Download http://arxiv.org/abs/0901.3805
Repository arXiv (United States)
Keywords Mathematics - Combinatorics, Condensed Matter - Statistical Mechanics, Mathematics - Probability, 60K35
Type text