Fourier's law based on microscopic dynamics

Abhishek Dhar; Herbert Spohn

doi:10.1016/j.crhy.2019.08.004

Fourier's law based on microscopic dynamics

Translated title of the contribution: Fourier's law based on microscopic dynamics

Abhishek Dhar
, Herbert Spohn

TUM Emeriti of Excellence

Tata Institute of Fundamental Research, Mumbai

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

18 Scopus citations

Abstract

While Fourier's law is empirically confirmed for many substances and over an extremely wide range of thermodynamic parameters, a convincing microscopic derivation still poses difficulties. With current machines, the solution to Newton's equations of motion can be obtained with high precision and for a reasonably large number of particles. For simplified model systems, one thereby arrives at a deeper understanding of the microscopic basis for Fourier's law. We report on recent, and not so recent, advances.

Translated title of the contribution	Fourier's law based on microscopic dynamics
Original language	English
Pages (from-to)	393-401
Number of pages	9
Journal	Comptes Rendus Physique
Volume	20
Issue number	5
DOIs	https://doi.org/10.1016/j.crhy.2019.08.004
State	Published - 1 Jul 2019

Keywords

Fourier's law
Green–Kubo formula
Molecular dynamics simulations

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10.1016/j.crhy.2019.08.004

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title = "Fourier's law based on microscopic dynamics",

abstract = "While Fourier's law is empirically confirmed for many substances and over an extremely wide range of thermodynamic parameters, a convincing microscopic derivation still poses difficulties. With current machines, the solution to Newton's equations of motion can be obtained with high precision and for a reasonably large number of particles. For simplified model systems, one thereby arrives at a deeper understanding of the microscopic basis for Fourier's law. We report on recent, and not so recent, advances.",

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AU - Dhar, Abhishek

AU - Spohn, Herbert

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N2 - While Fourier's law is empirically confirmed for many substances and over an extremely wide range of thermodynamic parameters, a convincing microscopic derivation still poses difficulties. With current machines, the solution to Newton's equations of motion can be obtained with high precision and for a reasonably large number of particles. For simplified model systems, one thereby arrives at a deeper understanding of the microscopic basis for Fourier's law. We report on recent, and not so recent, advances.

AB - While Fourier's law is empirically confirmed for many substances and over an extremely wide range of thermodynamic parameters, a convincing microscopic derivation still poses difficulties. With current machines, the solution to Newton's equations of motion can be obtained with high precision and for a reasonably large number of particles. For simplified model systems, one thereby arrives at a deeper understanding of the microscopic basis for Fourier's law. We report on recent, and not so recent, advances.

KW - Fourier's law

KW - Green–Kubo formula

KW - Molecular dynamics simulations

UR - https://www.scopus.com/pages/publications/85072294881

U2 - 10.1016/j.crhy.2019.08.004

DO - 10.1016/j.crhy.2019.08.004

M3 - Short survey

AN - SCOPUS:85072294881

SN - 1631-0705

VL - 20

SP - 393

EP - 401

JO - Comptes Rendus Physique

JF - Comptes Rendus Physique

IS - 5

ER -

Fourier's law based on microscopic dynamics

Abstract

Keywords

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