The informational-statistical-entropy operator in a nonequilibrium ensemble formalism

Sergio A. Hassan , Aurea R. Vasconcellos and Roberto Luzzi

Physica A: Statistical Mechanics and its Applications, 1999, vol. 262, issue 3, 359-375

Abstract: We study the eigenvalue spectrum of the informational-statistical-entropy operator, a quantity that plays a fundamental role in the nonequilibrium statistical operator method. We obtain explicit expressions for the informational entropy for inhomogeneous nonequilibrium (dissipative) systems, relevant for the study of its nonclassical nonlinear hydrodynamics. Expressions for the single-particle dynamical matrix and, in particular, for the distribution functions of quasi-particles, in conditions arbitrarily away from equilibrium, are also derived. We apply the results considering some aspects of the hydrodynamics of a Fermion system in weak interaction with a thermal bath of Bosons.

Keywords: Nonequilibrium statistical mechanics; Informational entropy; Statistical irreversible thermodynamics; Nonlinear kinetic theory (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:262:y:1999:i:3:p:359-375

DOI: 10.1016/S0378-4371(98)00405-1

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