Hydrodynamical fluctuations in extended irreversible thermodynamics

D. Jou; J. M. Rubi; J. Casas-Vazquez

doi:https://doi.org/10.1016/0378-4371(80)90197-1

Hydrodynamical fluctuations in extended irreversible thermodynamics

D. Jou, J. M. Rubi, J. Casas-Vazquez

Department of Physics

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

31 Citations (Scopus)

Abstract

Starting from the generalized Gibbs equation of extended irreversible thermodynamics, we define a thermodynamic potential that provides a suitable description of the fluctuations of the hydrodynamical dissipative fluxes when it is used in an expression analogous to the classical Einstein formula for the probability of fluctuations. In the limit of vanishing relaxation times, our results coincide with those of Landau-Lifshitz. The effect of the rapid normal modes is taken into account as a stochastic noise in the evolution equations of the dissipative fluxes, and their covariance matrix is found from a fluctuation-dissipation theorem. © 1980.

Original language	English
Pages (from-to)	588-598
Journal	Physica A: Statistical Mechanics and its Applications
Volume	101
DOIs	https://doi.org/10.1016/0378-4371(80)90197-1
Publication status	Published - 1 Jan 1980

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title = "Hydrodynamical fluctuations in extended irreversible thermodynamics",

abstract = "Starting from the generalized Gibbs equation of extended irreversible thermodynamics, we define a thermodynamic potential that provides a suitable description of the fluctuations of the hydrodynamical dissipative fluxes when it is used in an expression analogous to the classical Einstein formula for the probability of fluctuations. In the limit of vanishing relaxation times, our results coincide with those of Landau-Lifshitz. The effect of the rapid normal modes is taken into account as a stochastic noise in the evolution equations of the dissipative fluxes, and their covariance matrix is found from a fluctuation-dissipation theorem. {\textcopyright} 1980.",

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N2 - Starting from the generalized Gibbs equation of extended irreversible thermodynamics, we define a thermodynamic potential that provides a suitable description of the fluctuations of the hydrodynamical dissipative fluxes when it is used in an expression analogous to the classical Einstein formula for the probability of fluctuations. In the limit of vanishing relaxation times, our results coincide with those of Landau-Lifshitz. The effect of the rapid normal modes is taken into account as a stochastic noise in the evolution equations of the dissipative fluxes, and their covariance matrix is found from a fluctuation-dissipation theorem. © 1980.

AB - Starting from the generalized Gibbs equation of extended irreversible thermodynamics, we define a thermodynamic potential that provides a suitable description of the fluctuations of the hydrodynamical dissipative fluxes when it is used in an expression analogous to the classical Einstein formula for the probability of fluctuations. In the limit of vanishing relaxation times, our results coincide with those of Landau-Lifshitz. The effect of the rapid normal modes is taken into account as a stochastic noise in the evolution equations of the dissipative fluxes, and their covariance matrix is found from a fluctuation-dissipation theorem. © 1980.

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