TY - JOUR
T1 - Hydrodynamical fluctuations in extended irreversible thermodynamics
AU - Jou, D.
AU - Rubi, J. M.
AU - Casas-Vazquez, J.
PY - 1980/1/1
Y1 - 1980/1/1
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.
U2 - https://doi.org/10.1016/0378-4371(80)90197-1
DO - https://doi.org/10.1016/0378-4371(80)90197-1
M3 - Article
VL - 101
SP - 588
EP - 598
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
SN - 0378-4371
ER -