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arXiv · 2001.08262

Uniform propagation of chaos for the thermostated Kac model

Roberto Cortez·Hagop Tossounian
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Abstract

We consider Kac's 1D N-particle system coupled to an ideal thermostat at temperature T, introduced by Bonetto, Loss, and Vaidyanathan in 2014. We obtain a propagation of chaos result for this system, with explicit and uniform-in-time rates of order N^(-1/3) in the 2-Wasserstein metric. We also show well-posedness and equilibration for the limit kinetic equation in the space of probability measures. The proofs use a coupling argument previously introduced by Cortez and Fontbona in 2016.

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BibTeXRIS

Roberto Cortez, Hagop Tossounian. 2020-01-22. Uniform propagation of chaos for the thermostated Kac model. https://doi.org/10.1007/s10955-021-02763-9

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