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arXiv · 2401.10080

Quantitative equilibrium fluctuations for interacting particle systems

Chenlin Gu·Jean-Christophe Mourrat·Maximilian Nitzschner
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Abstract

We consider a class of interacting particle systems in continuous space of non-gradient type, which are reversible with respect to Poisson point processes with constant density. For these models, a rate of convergence was recently obtained in 10.1214/22-AOP1573 for certain finite-volume approximations of the bulk diffusion matrix. Here, we show how to leverage this to obtain quantitative versions of a number of results capturing the large-scale fluctuations of these systems, such as the convergence of two-point correlation functions and the Green-Kubo formula.

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Chenlin Gu, Jean-Christophe Mourrat, Maximilian Nitzschner. 2024-01-18. Quantitative equilibrium fluctuations for interacting particle systems. https://arxiv.org/abs/2401.10080

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