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Entropy production in non-equilibrium fluctuating hydrodynamics.

Authors
  • Gradenigo, Giacomo
  • Puglisi, Andrea
  • Sarracino, Alessandro
Type
Published Article
Journal
The Journal of Chemical Physics
Publisher
AIP Publishing
Publication Date
Jul 07, 2012
Volume
137
Issue
1
Pages
14509–14509
Identifiers
DOI: 10.1063/1.4731633
PMID: 22779667
Source
Medline
License
Unknown

Abstract

Fluctuating entropy production is studied for a set of linearly coupled complex fields. The general result is applied to non-equilibrium fluctuating hydrodynamic equations for coarse-grained fields (density, temperature, and velocity), in the framework of model granular fluids. We find that the average entropy production, obtained from the microscopic stochastic description, can be expressed in terms of macroscopic quantities, in analogy with linear non-equilibrium thermodynamics. We consider the specific cases of driven granular fluids with two different kinds of thermostat and the homogeneous cooling regime. In all cases, the average entropy production turns out to be the product of a thermodynamic force and a current: the former depends on the specific energy injection mechanism, the latter takes always the form of a static correlation between fluctuations of density and temperature time-derivative. Both vanish in the elastic limit. The behavior of the entropy production is studied at different length scales and the qualitative differences arising for the different granular models are discussed.

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