Gibbs entropy and irreversibility

A. Pérez-Madrid

Physica A: Statistical Mechanics and its Applications, 2004, vol. 339, issue 3, 339-346

Abstract: This contribution is dedicated to elucidating the role of the Gibbs entropy in the discussion of the emergence of irreversibility in the macroscopic world from the microscopic level. By using an extension of the Onsager theory to the phase space we obtain a generalization of the Liouville equation describing the evolution of the distribution vector in the form of a master equation. This formalism leads in a natural way to the breaking of the BBGKY hierarchy. As a particular case we derive the Boltzmann equation.

Keywords: Kinetic equations; Statistical mechanics; Mesoscopic nonequilibrium thermodynamics (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:339:y:2004:i:3:p:339-346

DOI: 10.1016/j.physa.2004.04.106

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