Equilibrium third moments and non-equilibrium second moments of fluctuations of hydrodynamic dissipative fluxes

D. Jou; J. Casas-Vázquez

doi:https://doi.org/10.1515/jnet.1983.8.2.127

Equilibrium third moments and non-equilibrium second moments of fluctuations of hydrodynamic dissipative fluxes

D. Jou, J. Casas-Vázquez

Department of Physics

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

7 Citations (Scopus)

Abstract

We generalize a previous version of nonequilibrium entropy for viscous heat conducting fluids by including a new term of third order in the dissipative fluxes. This new term is seen to be related to equilibrium third moments and nonequilibrium second moments of fluctuations of the heat flux and the viscous pressure tensor, and to the relaxation matrix of nonequilibrium fluctuations. We also discuss the most convenient formulation of the second law in the presence of third-order terms. The positiveness of the total entropy production leads to results beyond the scope of the formulation based on the positiveness of just the second-order entropy production. © 1983 Walter de Gruyter. All rights reserved.

Original language	English
Pages (from-to)	127-142
Journal	Journal of Non-Equilibrium Thermodynamics
Volume	8
DOIs	https://doi.org/10.1515/jnet.1983.8.2.127
Publication status	Published - 1 Jan 1983

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abstract = "We generalize a previous version of nonequilibrium entropy for viscous heat conducting fluids by including a new term of third order in the dissipative fluxes. This new term is seen to be related to equilibrium third moments and nonequilibrium second moments of fluctuations of the heat flux and the viscous pressure tensor, and to the relaxation matrix of nonequilibrium fluctuations. We also discuss the most convenient formulation of the second law in the presence of third-order terms. The positiveness of the total entropy production leads to results beyond the scope of the formulation based on the positiveness of just the second-order entropy production. {\textcopyright} 1983 Walter de Gruyter. All rights reserved.",

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AU - Casas-Vázquez, J.

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N2 - We generalize a previous version of nonequilibrium entropy for viscous heat conducting fluids by including a new term of third order in the dissipative fluxes. This new term is seen to be related to equilibrium third moments and nonequilibrium second moments of fluctuations of the heat flux and the viscous pressure tensor, and to the relaxation matrix of nonequilibrium fluctuations. We also discuss the most convenient formulation of the second law in the presence of third-order terms. The positiveness of the total entropy production leads to results beyond the scope of the formulation based on the positiveness of just the second-order entropy production. © 1983 Walter de Gruyter. All rights reserved.

AB - We generalize a previous version of nonequilibrium entropy for viscous heat conducting fluids by including a new term of third order in the dissipative fluxes. This new term is seen to be related to equilibrium third moments and nonequilibrium second moments of fluctuations of the heat flux and the viscous pressure tensor, and to the relaxation matrix of nonequilibrium fluctuations. We also discuss the most convenient formulation of the second law in the presence of third-order terms. The positiveness of the total entropy production leads to results beyond the scope of the formulation based on the positiveness of just the second-order entropy production. © 1983 Walter de Gruyter. All rights reserved.

U2 - https://doi.org/10.1515/jnet.1983.8.2.127

DO - https://doi.org/10.1515/jnet.1983.8.2.127

M3 - Article

VL - 8

SP - 127

EP - 142

JO - Journal of Non-Equilibrium Thermodynamics

JF - Journal of Non-Equilibrium Thermodynamics

SN - 0340-0204

ER -