On the theory of hydrodynamic fluctuations in nonequilibrium systems
Abstract
Equations are defined for the hydrodynamic nonequilibrium fluctuations in gases, and correlation properties of the fluctuations are explored. The fluctuating contributions to the pressure and heat flux are shown to be correlated in terms of the generalization of the corresponding equilibrium expressions. A fluctuating kinetic equation is used to derive the fluctuating hydrodynamic equations, which are demonstrated to be generalization of the Landau and Lifschitz equations for nonequilibrium. Equations are also presented for the one time correlation and the pair correlation function. Limiting the analysis to binary conditions and ignoring molecular chaos produced sequences of correlated binary collisions that yielded the appearance of spatial correlations. The stochastic nonequilibrium fluctuating hydrodynamic equations were identified in the general class of unsteady Gaussian Markov processes.
 Publication:

Bulletin de l'Academie Royale de Belgique
 Pub Date:
 1982
 Bibcode:
 1982BARB...68..124V
 Keywords:

 ChapmanEnskog Theory;
 Gas Dynamics;
 Hydrodynamic Equations;
 Nonequilibrium Conditions;
 Chaos;
 Molecular Collisions;
 Nonlinear Equations;
 Stochastic Processes;
 Thermodynamics and Statistical Physics