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

Departament de Física

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Resum

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.

Idioma original	Anglès
Pàgines (de-a)	185-196
Revista	Periodica Polytechnica Chemical Engineering
Volum	41
Número	2
Estat de la publicació	Publicada - 1 de gen. 1997

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@article{a10299c50aae4b1b9f4db10e6cca741e,

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.",

keywords = "Extended irreversible thermodynamics, Heat conduction, Low temperature",

author = "Georgy Lebon and David Jou and Jos{\'e} Casas-Vazquez and Wolfgang Muschik",

year = "1997",

month = jan,

day = "1",

language = "English",

volume = "41",

pages = "185--196",

number = "2",

}

TY - JOUR

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

SN - 0324-5853

VL - 41

SP - 185

EP - 196

JO - Periodica Polytechnica Chemical Engineering

JF - Periodica Polytechnica Chemical Engineering

IS - 2

ER -

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

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