TY - UNPB
T1 - Quantitative equilibrium fluctuations for interacting particle systems
AU - Mourrat, Jean-Christophe
AU - Gu, Chenlin
AU - Nitzschner, Maximilian
PY - 2024
Y1 - 2024
N2 - 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 https://doi.org/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.
AB - 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 https://doi.org/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.
UR - https://openalex.org/W4391047275
M3 - Preprint
T3 - arXiv
BT - Quantitative equilibrium fluctuations for interacting particle systems
ER -