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Communication Dans Un Congrès Année : 2007

On the strict positivity of entropy production

Résumé

We refine an abstract result of the authors concerning the strict positivity of entropy production of $L^1$--asymptotically Abelian $C^\ast$-dynamical systems and apply the new result to a model describing finitely many free Fermi gas reservoirs coupled by local interactions. In particular, assuming that the reservoirs are initially not at equal temperatures or chemical potentials, we show that there is a dense set of local interactions such that the entropy production of the system is strictly positive for sufficiently small non-zero coupling.
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Dates et versions

hal-00122774 , version 1 (04-01-2007)

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  • HAL Id : hal-00122774 , version 1

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Vojkan Jaksic, Claude-Alain Pillet. On the strict positivity of entropy production. Transport and Spectral Problems in Quantum Mechanics: A Conference in Honor of Jean-Michel Combes, Sep 2006, Cergy, France. pp.153-163. ⟨hal-00122774⟩
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