Open Access
August 2015 Exponential rate of convergence in current reservoirs
Anna De Masi, Errico Presutti, Dimitrios Tsagkarogiannis, Maria Eulalia Vares
Bernoulli 21(3): 1844-1854 (August 2015). DOI: 10.3150/14-BEJ628

Abstract

In this paper, we consider a family of interacting particle systems on $[-N,N]$ that arises as a natural model for current reservoirs and Fick’s law. We study the exponential rate of convergence to the stationary measure, which we prove to be of the order $N^{-2}$.

Citation

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Anna De Masi. Errico Presutti. Dimitrios Tsagkarogiannis. Maria Eulalia Vares. "Exponential rate of convergence in current reservoirs." Bernoulli 21 (3) 1844 - 1854, August 2015. https://doi.org/10.3150/14-BEJ628

Information

Received: 1 March 2013; Revised: 1 December 2013; Published: August 2015
First available in Project Euclid: 27 May 2015

zbMATH: 1330.60117
MathSciNet: MR3352063
Digital Object Identifier: 10.3150/14-BEJ628

Keywords: exponential convergence to the stationary measure , interacting particle systems

Rights: Copyright © 2015 Bernoulli Society for Mathematical Statistics and Probability

Vol.21 • No. 3 • August 2015
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