A Pérez-Madrid J. Stat. Mech. (2006) P09015 doi:10.1088/1742-5468/2006/09/P09015
A Pérez-Madrid
Show affiliationsUnder the assumption of a smooth full phase-space distribution function we prove that the non-equilibrium entropy S which is considered as a functional of the distribution vector for an N-body system possesses a lower bound and therefore cannot decrease. We also compute the rate of change of S, ∂S/∂t, showing that this is non-negative and having a global minimum at equilibrium. As an application we obtain a generalization of the BGK (Bhatnagar–Gross–Krook) relaxation model.
82C35 Irreversible thermodynamics, including Onsager-Machlup theory
Issue 09 (September 2006)
Received 20 June 2006, accepted for publication 12 September 2006
Published 28 September 2006
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