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Conservative interacting particles system with anomalous rate of ergodicity (1012.0582v2)
Published 2 Dec 2010 in math.PR, math-ph, math.AP, and math.MP
Abstract: We analyze certain conservative interacting particle system and establish ergodicity of the system for a family of invariant measures. Furthermore, we show that convergence rate to equilibrium is exponential. This result is of interest because it presents counterexample to the standard assumption of physicists that conservative system implies polynomial rate of convergence.