On the retarded solution of the Liouville equation and the definition of entropy in kinetic theory

R. Der

Physica A: Statistical Mechanics and its Applications, 1985, vol. 132, issue 1, 74-93

Abstract: Zubarevs approach to non-equilibrium statistical mechanics, which consists in adding a source term to the Liouville equation so as to select its retarded solution, is reinvestigated. As discussed earlier, the source has to be modified by introducing a different set of thermodynamic parameters in order to achieve agreement with current theories of non-equilibrium statistical mechanics. By considering kinetic theory of a homogeneous classical gas it is demonstrated that the modification of the source is necessary in order to avoid unphysical divergencies and to maintain conservation laws. Moreover, a new definition of the non-equilibrium entropy in terms of the relevant observables is obtained which reveals several attractive features.

Date: 1985
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:132:y:1985:i:1:p:74-93

DOI: 10.1016/0378-4371(85)90118-9

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