Smoothness of the diffusion coefficients for particle systems in continuous space

被引：1

作者：

Giunti, Arianna ^{[1
]}

Gu, Chenlin ^{[2
,3
,4
]}

Mourrat, Jean-Christophe ^{[5
,6
,7
]}

Nitzschner, Maximilian ^{[7
]}

机构：

[1] Imperial Coll London, Dept Math, London, England

[2] PSL Univ, DMA, Ecole Normale Super, Paris, France

[3] NYU Shanghai, Dept Math, Shanghai, Peoples R China

[4] NYU ECNU, Inst Math Sci, Shanghai, Peoples R China

[5] Ecole Normale Super Lyon, Lyon, France

[6] CNRS, Lyon, France

[7] NYU, Courant Inst Math Sci, New York, NY 10003 USA

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2023年 / 25卷 / 03期

关键词：

Interacting particle system; hydrodynamic limit; bulk diffusion matrix; CLAUSIUS-MOSSOTTI FORMULA; LATTICE-GAS; HOMOGENIZED COEFFICIENTS; EFFECTIVE VISCOSITY; SIMPLE EXCLUSION; REGULARITY; MATRIX;

D O I：

10.1142/S0219199722500274

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：60

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