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arxiv: 1304.0624 · v3 · pith:AZX7WHICnew · submitted 2013-04-02 · 🧮 math.PR

Exponential rate of convergence in current reservoirs

classification 🧮 math.PR
keywords convergencecurrentexponentialratereservoirsarisesconsiderfamily
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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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