Smoothness of the diffusion coefficients for particle systems in continuous space
Probability
2022-03-15 v3 Analysis of PDEs
Abstract
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.
Cite
@article{arxiv.2112.06123,
title = {Smoothness of the diffusion coefficients for particle systems in continuous space},
author = {Arianna Giunti and Chenlin Gu and Jean-Christophe Mourrat and Maximilian Nitzschner},
journal= {arXiv preprint arXiv:2112.06123},
year = {2022}
}
Comments
45 pages, 2 figures, final version