Smoothness of the diffusion coefficients for particle systems in continuous space

Arianna Giunti, Chenlin Gu, Jean-Christophe Mourrat, Maximilian Nitzschner

Published 2021-12-12, updated 2022-03-14Version 3

For a class of particle systems in continuous space with local interactions, we show that the asymptotic diffusion matrix is an infinitely differentiable function of the density of particles. Our method allows us to identify relatively explicit descriptions of the derivatives of the diffusion matrix in terms of correctors.