Smoothness of the diffusion coefficients for particle systems in continuous space

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

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
Article number2250027
JournalCommunications in Contemporary Mathematics
DOIs
StateAccepted/In press - 2022

Keywords

  • bulk diffusion matrix
  • hydrodynamic limit
  • Interacting particle system

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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