Nonlocal effects and second sound in a nonequilibrium steady state

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

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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 languageEnglish
Article number014303
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume79
DOIs
Publication statusPublished - 5 Jan 2009

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