Nonlocal effects and second sound in a nonequilibrium steady state

V. A. Cimmelli; A. Sellitto; D. Jou

doi:https://doi.org/10.1103/PhysRevB.79.014303

Nonlocal effects and second sound in a nonequilibrium steady state

V. A. Cimmelli, A. Sellitto, D. Jou

Department of Physics

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

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Abstract

The influence of weakly nonlocal effects on the speed of second sound along or against the direction of a nonvanishing average heat flow is explored in a formalism based on a dynamical nonequilibrium temperature. The restrictions from the second law of thermodynamics on the nonlocal evolution equation of this temperature are studied from a gradient extension of classical Liu procedure, and the corresponding form of the entropy is derived. Stability requirements obtained from the second differential of the entropy are seen to restrict a nonlinear dependence of the thermal conductivity on the temperature gradient. © 2009 The American Physical Society.

Original language	English
Article number	014303
Journal	Physical Review B - Condensed Matter and Materials Physics
Volume	79
DOIs	https://doi.org/10.1103/PhysRevB.79.014303
Publication status	Published - 5 Jan 2009

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abstract = "The influence of weakly nonlocal effects on the speed of second sound along or against the direction of a nonvanishing average heat flow is explored in a formalism based on a dynamical nonequilibrium temperature. The restrictions from the second law of thermodynamics on the nonlocal evolution equation of this temperature are studied from a gradient extension of classical Liu procedure, and the corresponding form of the entropy is derived. Stability requirements obtained from the second differential of the entropy are seen to restrict a nonlinear dependence of the thermal conductivity on the temperature gradient. {\textcopyright} 2009 The American Physical Society.",

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