Gibbs Entropy and Irreversibility

Details Gibbs Entropy and Irreversibility Gibbs Entropy and Irreversibility

2004-01-27

arxiv.org/abs/cond-mat/0401532v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1016/j.physa.2004.04.106

This contribution is dedicated to dilucidating 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.

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