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Article Dans Une Revue Journal of Non-Equilibrium Thermodynamics Année : 2019

A Rigorous Scattering Approach to Quasifree Fermionic Systems out of Equilibrium

Résumé

Within the rigorous axiomatic framework for the description of quantum mechanical systems with a large number of degrees of freedom, we construct the so-called nonequi-librium steady state for the quasifree fermionic system corresponding to the isotropic XY chain in which a finite sample, subject to a local gauge breaking anisotropy perturbation, is coupled to two thermal reservoirs at different temperatures. Using time dependent and stationary scattering theory, we rigorously prove, from first principles, that the nonequi-librium system under consideration is thermodynamically nontrivial, i.e., that its entropy production rate is strictly positive. MSC (2010) 46L60, 47A40, 47B15, 82C10, 82C23
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Dates et versions

hal-02488254 , version 1 (26-02-2020)

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Walter Aschbacher. A Rigorous Scattering Approach to Quasifree Fermionic Systems out of Equilibrium. Journal of Non-Equilibrium Thermodynamics, 2019, 44 (3), pp.261-275. ⟨10.1515/jnet-2018-0071⟩. ⟨hal-02488254⟩
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