A microscopic view of the Fourier law

Thierry Bodineau; Isabelle Gallagher; Laure Saint-Raymond

doi:10.1016/j.crhy.2019.08.002

A microscopic view of the Fourier law

Thierry Bodineau
, Isabelle Gallagher
, Laure Saint-Raymond

École Polytechnique

École Normale Supérieure
CNRS UMR 5669, 'Unité de Mathématiques Pures et Appliquées' and project-team Inria NUMED, Ecole Normale Supérieure de Lyon

Research output: Contribution to journal › Short survey › peer-review

6 Citations (Scopus)

Abstract

The Fourier law of heat conduction describes heat diffusion in macroscopic systems. This physical law has been experimentally tested for a large class of physical systems. A natural question is to know whether it can be derived from the microscopic models using the fundamental laws of mechanics.

Translated title of the contribution	Une vision microscopique de la loi de Fourier
Original language	English
Pages (from-to)	402-418
Number of pages	17
Journal	Comptes Rendus Physique
Volume	20
Issue number	5
DOIs	https://doi.org/10.1016/j.crhy.2019.08.002
Publication status	Published - 1 Jul 2019

Keywords

Boltzmann equation
Diffusion equation
Fourier law
Hard-sphere gas
Low-density limit
Relative entropy method

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10.1016/j.crhy.2019.08.002

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title = "A microscopic view of the Fourier law",

abstract = "The Fourier law of heat conduction describes heat diffusion in macroscopic systems. This physical law has been experimentally tested for a large class of physical systems. A natural question is to know whether it can be derived from the microscopic models using the fundamental laws of mechanics.",

keywords = "Boltzmann equation, Diffusion equation, Fourier law, Hard-sphere gas, Low-density limit, Relative entropy method",

author = "Thierry Bodineau and Isabelle Gallagher and Laure Saint-Raymond",

note = "Publisher Copyright: {\textcopyright} 2019 Acad{\'e}mie des sciences",

year = "2019",

month = jul,

day = "1",

doi = "10.1016/j.crhy.2019.08.002",

language = "English",

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TY - JOUR

T1 - A microscopic view of the Fourier law

AU - Bodineau, Thierry

AU - Gallagher, Isabelle

AU - Saint-Raymond, Laure

PY - 2019/7/1

Y1 - 2019/7/1

N2 - The Fourier law of heat conduction describes heat diffusion in macroscopic systems. This physical law has been experimentally tested for a large class of physical systems. A natural question is to know whether it can be derived from the microscopic models using the fundamental laws of mechanics.

AB - The Fourier law of heat conduction describes heat diffusion in macroscopic systems. This physical law has been experimentally tested for a large class of physical systems. A natural question is to know whether it can be derived from the microscopic models using the fundamental laws of mechanics.

KW - Boltzmann equation

KW - Diffusion equation

KW - Fourier law

KW - Hard-sphere gas

KW - Low-density limit

KW - Relative entropy method

U2 - 10.1016/j.crhy.2019.08.002

DO - 10.1016/j.crhy.2019.08.002

M3 - Short survey

AN - SCOPUS:85072284218

SN - 1631-0705

VL - 20

SP - 402

EP - 418

JO - Comptes Rendus Physique

JF - Comptes Rendus Physique

IS - 5

ER -

A microscopic view of the Fourier law

Abstract

Keywords

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