Hydrodynamical fluctuations in extended irreversible thermodynamics

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

Physica A: Statistical Mechanics and its Applications, 1980, vol. 101, issue 2, 588-598

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.

Date: 1980
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:101:y:1980:i:2:p:588-598

DOI: 10.1016/0378-4371(80)90197-1

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