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arXiv · 1304.0624

Exponential rate of convergence in current reservoirs

Anna De Masi·Errico Presutti·Dimitrios Tsagkarogiannis·Maria Eulalia Vares
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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 $N^{-2}$.

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Anna De Masi, Errico Presutti, Dimitrios Tsagkarogiannis, Maria Eulalia Vares. 2015-07-28. Exponential rate of convergence in current reservoirs. https://doi.org/10.3150/14-bej628

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