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

共 50 条

[11] Smoothness of functions and Fourier coefficients
Dyachenko, M., I
Mukanov, A. B.
Tikhonov, S. Yu
SBORNIK MATHEMATICS, 2019, 210 (07) : 994 - 1018
[12] Regularity in parabolic systems with continuous coefficients
V. Bögelein
M. Foss
G. Mingione
Mathematische Zeitschrift, 2012, 270 : 903 - 938
[13] Regularity in parabolic systems with continuous coefficients
Boegelein, V.
Foss, M.
Mingione, G.
MATHEMATISCHE ZEITSCHRIFT, 2012, 270 (3-4) : 903 - 938
[14] PARABOLIC SYSTEMS WITH NON CONTINUOUS COEFFICIENTS
Ragusa, Maria Alessandra
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2003, : 727 - 733
[15] Prediction of diffusion coefficients in liquid systems
Bosse, D
Bart, HJ
INDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH, 2006, 45 (05) : 1822 - 1828
[16] DIFFUSION-COEFFICIENTS IN SOLID SYSTEMS
NACER, A
BOURKIZA, M
JOURNAL OF CRYSTAL GROWTH, 1994, 137 (1-2) : 91 - 94
[17] Tracer diffusion coefficients of polar systems
Magalhaes, Ana L.
Da Silva, Francisco A.
Silva, Carlos M.
CHEMICAL ENGINEERING SCIENCE, 2012, 73 : 151 - 168
[18] Single-particle tracking: The distribution of diffusion coefficients
Saxton, MJ
BIOPHYSICAL JOURNAL, 1997, 72 (04) : 1744 - 1753
[19] Diffusion coefficients and particle transport in synthetic membrane channels
S. Pagliara
S. L. Dettmer
K. Misiunas
L. Lea
Y. Tan
U. F. Keyser
The European Physical Journal Special Topics, 2014, 223 : 3145 - 3163
[20] Diffusion coefficients and particle transport in synthetic membrane channels
Pagliara, S.
Dettmer, S. L.
Misiunas, K.
Lea, L.
Tan, Y.
Keyser, U. F.
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2014, 223 (14): : 3145 - 3163

← 1 2 3 4 5 →