Math @ Duke
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Publications [#348481] of Jonathan C. Mattingly
search arxiv.org.Papers Published
- Lu, Y; Mattingly, JC, Geometric ergodicity of Langevin dynamics with Coulomb interactions,
Nonlinearity, vol. 33 no. 2
(January, 2020),
pp. 675-699, IOP Publishing [doi]
(last updated on 2024/03/28)
Abstract: This paper is concerned with the long time behavior of Langevin dynamics of Coulomb gases in with, that is a second order system of Brownian particles driven by an external force and a pairwise repulsive Coulomb force. We prove that the system converges exponentially to the unique Boltzmann-Gibbs invariant measure under a weighted total variation distance. The proof relies on a novel construction of Lyapunov function for the Coulomb system.
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