Heat conduction at low temperature: A non-linear generalization of the Guyer-Krumhansl equation

Georgy Lebon; David Jou; José Casas-Vazquez; Wolfgang Muschik

Heat conduction at low temperature: A non-linear generalization of the Guyer-Krumhansl equation

Georgy Lebon, David Jou, José Casas-Vazquez, Wolfgang Muschik

Department of Physics

Research output: Contribution to journal › Article › Research › peer-review

7 Citations (Scopus)

Abstract

A general non-linear and non-local heat transport equation is proposed in view to study heat conduction at low temperature (< 25 K) in non-metallic crystals. It is shown that the proposed relation generalizes the classical laws of Guyer and Krumhansl, Cattaneo and Fourier. The problem is treated within the framework of Extended Irreversible Thermodynamics. Special emphasis is placed on the consistency of the results with the second law of thermodynamics.

Original language	English
Pages (from-to)	185-196
Journal	Periodica Polytechnica Chemical Engineering
Volume	41
Issue number	2
Publication status	Published - 1 Jan 1997

Keywords

Extended irreversible thermodynamics
Heat conduction
Low temperature

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title = "Heat conduction at low temperature: A non-linear generalization of the Guyer-Krumhansl equation",

abstract = "A general non-linear and non-local heat transport equation is proposed in view to study heat conduction at low temperature (< 25 K) in non-metallic crystals. It is shown that the proposed relation generalizes the classical laws of Guyer and Krumhansl, Cattaneo and Fourier. The problem is treated within the framework of Extended Irreversible Thermodynamics. Special emphasis is placed on the consistency of the results with the second law of thermodynamics.",

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T1 - Heat conduction at low temperature: A non-linear generalization of the Guyer-Krumhansl equation

AU - Lebon, Georgy

AU - Jou, David

AU - Casas-Vazquez, José

AU - Muschik, Wolfgang

PY - 1997/1/1

Y1 - 1997/1/1

N2 - A general non-linear and non-local heat transport equation is proposed in view to study heat conduction at low temperature (< 25 K) in non-metallic crystals. It is shown that the proposed relation generalizes the classical laws of Guyer and Krumhansl, Cattaneo and Fourier. The problem is treated within the framework of Extended Irreversible Thermodynamics. Special emphasis is placed on the consistency of the results with the second law of thermodynamics.

AB - A general non-linear and non-local heat transport equation is proposed in view to study heat conduction at low temperature (< 25 K) in non-metallic crystals. It is shown that the proposed relation generalizes the classical laws of Guyer and Krumhansl, Cattaneo and Fourier. The problem is treated within the framework of Extended Irreversible Thermodynamics. Special emphasis is placed on the consistency of the results with the second law of thermodynamics.

KW - Extended irreversible thermodynamics

KW - Heat conduction

KW - Low temperature

M3 - Article

VL - 41

SP - 185

EP - 196

IS - 2

ER -