Smoothness of the diffusion coefficients for particle systems in continuous space

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

doi:10.1142/S0219199722500274

Smoothness of the diffusion coefficients for particle systems in continuous space

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

Mathematics

Research output: Contribution to journal › Article › peer-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 language	English (US)
Article number	2250027
Journal	Communications in Contemporary Mathematics
Volume	25
Issue number	3
DOIs	https://doi.org/10.1142/S0219199722500274
State	Published - Apr 1 2023

Keywords

Interacting particle system
bulk diffusion matrix
hydrodynamic limit

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1142/S0219199722500274

Cite this

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title = "Smoothness of the diffusion coefficients for particle systems in continuous space",

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.",

keywords = "Interacting particle system, bulk diffusion matrix, hydrodynamic limit",

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AU - Gu, Chenlin

AU - Mourrat, Jean Christophe

AU - Nitzschner, Maximilian

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Y1 - 2023/4/1

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AB - 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.

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KW - hydrodynamic limit

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Smoothness of the diffusion coefficients for particle systems in continuous space

Abstract

Keywords

ASJC Scopus subject areas

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