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Exact Solution of the One-Dimensional Deterministic Fixed-Energy Sandpile

Exact Solution of the One-Dimensional Deterministic Fixed-Energy Sandpile

By reason of the strongly nonergodic dynamical behavior, universality properties of deterministic fixed-energy sandpiles are still an open and debated issue. We investigate the one-dimensional model, whose microscopical dynamics can be solved exactly, and provide a deeper understanding of the origin of the nonergodicity. By means of exact arguments, we …