Stochastic thermodynamics of a finite quantum system coupled to a heat bath

Schmidt H-J, Schnack J, Gemmer J (2021)
Zeitschrift für Naturforschung A 76(8): 731-745.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Schmidt, Heinz-Juergen; Schnack, JürgenUniBi ; Gemmer, Jochen
Abstract / Bemerkung
We consider a situation where an N-level system (NLS) is coupled to a heat bath without being necessarily thermalized. For this situation, we derive general Jarzynski-type equations and conclude that heat and entropy is flowing from the hot bath to the cold NLS and, vice versa, from the hot NLS to the cold bath. The Clausius relation between increase of entropy and transfer of heat divided by a suitable temperature assumes the form of two inequalities which have already been considered in the literature. Our approach is illustrated by an analytical example.
Stichworte
Clausius inequalities; Jarzynski equations; second law
Erscheinungsjahr
2021
Zeitschriftentitel
Zeitschrift für Naturforschung A
Band
76
Ausgabe
8
Seite(n)
731-745
ISSN
0932-0784
eISSN
1865-7109
Page URI
https://pub.uni-bielefeld.de/record/2957049

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Schmidt H-J, Schnack J, Gemmer J. Stochastic thermodynamics of a finite quantum system coupled to a heat bath. Zeitschrift für Naturforschung A. 2021;76(8):731-745.
Schmidt, H. - J., Schnack, J., & Gemmer, J. (2021). Stochastic thermodynamics of a finite quantum system coupled to a heat bath. Zeitschrift für Naturforschung A, 76(8), 731-745. https://doi.org/10.1515/zna-2021-0095
Schmidt, H. - J., Schnack, J., and Gemmer, J. (2021). Stochastic thermodynamics of a finite quantum system coupled to a heat bath. Zeitschrift für Naturforschung A 76, 731-745.
Schmidt, H.-J., Schnack, J., & Gemmer, J., 2021. Stochastic thermodynamics of a finite quantum system coupled to a heat bath. Zeitschrift für Naturforschung A, 76(8), p 731-745.
H.-J. Schmidt, J. Schnack, and J. Gemmer, “Stochastic thermodynamics of a finite quantum system coupled to a heat bath”, Zeitschrift für Naturforschung A, vol. 76, 2021, pp. 731-745.
Schmidt, H.-J., Schnack, J., Gemmer, J.: Stochastic thermodynamics of a finite quantum system coupled to a heat bath. Zeitschrift für Naturforschung A. 76, 731-745 (2021).
Schmidt, Heinz-Juergen, Schnack, Jürgen, and Gemmer, Jochen. “Stochastic thermodynamics of a finite quantum system coupled to a heat bath”. Zeitschrift für Naturforschung A 76.8 (2021): 731-745.

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