Entropy production in non-equilibrium fluctuating hydrodynamics

被引:5
作者
Gradenigo, Giacomo [1 ]
Puglisi, Andrea
Sarracino, Alessandro
机构
[1] Univ Roma La Sapienza, CNR ISC, I-00185 Rome, Italy
关键词
FREE-ENERGY DIFFERENCES; IRREVERSIBLE-PROCESSES; STOCHASTIC DYNAMICS; RECIPROCAL RELATIONS; GRANULAR FLUIDS; THEOREM; THERMODYNAMICS; SYMMETRY; SYSTEMS; STATES;
D O I
10.1063/1.4731633
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
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. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4731633]
引用
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页数:11
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