Quantitative equilibrium fluctuations for interacting particle systems
Abstract
We consider a class of interacting particle systems in continuous space of nongradient type, which are reversible with respect to Poisson point processes with constant density. For these models, a rate of convergence was recently obtained in (Ann. Probab. 50 (2022) 1885–1946) 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.
Fields of Study & Subjects
Stochastic processes and statistical mechanics
Random Matrices and Applications
Theoretical and Computational Physics
Publication details
- Journal / source
- The Annals of Applied Probability
- Volume
- 36
- Issue
- 3
- Publication date
- 1 June 2026
- Language
- EN