Abelian sandpile model on the Husimi lattice of square plaquettes

DOI10.1088/0305-4470/28/21/014zbMath0878.60084arXivcond-mat/9603138OpenAlexW3106383210MaRDI QIDQ4340051

R. R. Shcherbakov, Vl. V. Papoyan

Publication date: 14 December 1997

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9603138

zbMATH Keywords

two-point correlation functionself-organized critical statesandpile model

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Other physical applications of random processes (60K40) Neural nets applied to problems in time-dependent statistical mechanics (82C32)

Related Items (6)

Alternative variational approach to cactus lattices ⋮ The Ising model on pure Husimi lattices: a general formulation and the critical temperatures ⋮ One-dimensional mapping, modulated phases and Lyapunov exponent for the antiferromagnetic \(Q\)-state Potts and multi-site exchange interaction Ising models ⋮ The spectrum of the abelian sandpile model ⋮ The first order phase transitions in the multisite spin-\(1 / 2\) model on a pure Husimi lattice ⋮ Cut-off for sandpiles on tiling graphs

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