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Gibbs entropy and irreversibility

✍ Scribed by A. Pérez-Madrid

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
202 KB
Volume
339
Category
Article
ISSN
0378-4371

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✦ Synopsis

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.

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