Smoothness of the diffusion coefficients for particle systems in continuous space
Arianna Giunti, Chenlin Gu, Jean-Christophe Mourrat, Maximilian Nitzschner · Communications in Contemporary Mathematics · 2022
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.