Approaching criticality via the zero dissipation limit in the abelian avalanche model

DOI10.1007/s10955-015-1231-zzbMath1323.82031arXiv0906.3128OpenAlexW3103265129MaRDI QIDQ2516080

Frank Redig, Antal A. Járai, Ellen Saada

Publication date: 10 August 2015

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.3128

zbMATH Keywords

self-organized criticalityburning algorithmabelian sandpile modelzero dissipation limitWilson's algorithmweighted spanning treesabelian avalanche modeltoppling probability exponent

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamical aspects of statistical mechanics (37A60) Dynamic critical phenomena in statistical mechanics (82C27)

Related Items (10)

Sandpile monomorphisms and limits ⋮ The Sandpile Cellular Automaton ⋮ Non-criticality criteria for Abelian sandpile models with sources and sinks ⋮ Mean-field avalanche size exponent for sandpiles on Galton-Watson trees ⋮ Sandpile solitons via smoothing of superharmonic functions ⋮ Strongly correlated random interacting processes. Abstracts from the workshop held January 28 -- February 3, 2018 ⋮ Sandpiles on the square lattice ⋮ Toppling and height probabilities in sandpiles ⋮ Random forests and networks analysis ⋮ Sandpile models

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