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2012 Lower bound estimate of the spectral gap for simple exclusion process with degenerate rates
Yukio Nagahata
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Electron. J. Probab. 17: 1-19 (2012). DOI: 10.1214/EJP.v17-1916

Abstract

We consider exclusion process with degenerate rates in a finite torus with size $n$. This model is a simplified model for some peculiar phenomena of the "glassy" dynamics. We prove that the spectral gap is bounded below by $C\rho^4/n^2$, where $\rho = k/n$ denotes the density of particle and $C$ does not depend on $n$ nor $\rho$.

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Yukio Nagahata. "Lower bound estimate of the spectral gap for simple exclusion process with degenerate rates." Electron. J. Probab. 17 1 - 19, 2012. https://doi.org/10.1214/EJP.v17-1916

Information

Accepted: 26 October 2012; Published: 2012
First available in Project Euclid: 4 June 2016

zbMATH: 1283.60123
MathSciNet: MR2994840
Digital Object Identifier: 10.1214/EJP.v17-1916

Subjects:
Primary: 60K35

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