Thermodynamics from relative entropy

• Verfasst von: Flörchinger, Stefan [VerfasserIn]
• Verfasst von: Haas, Tobias [VerfasserIn]
• Titel: Thermodynamics from relative entropy
• Verf.angabe: Stefan Floerchinger and Tobias Haas
• E-Jahr: 2020
• Jahr: 12 November 2020
• Umfang: 13 S.
• Fussnoten: Gesehen am 04.12.2020
• Titel Quelle: Enthalten in: Physical review
• Ort Quelle: Woodbury, NY : Inst., 2016
• Jahr Quelle: 2020
• Band/Heft Quelle: 102(2020,5) Artikel-Nummer 052117, 13 Seiten
• ISSN Quelle: 2470-0053
• DOI: doi:10.1103/PhysRevE.102.052117
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1742070868

Abstract

Thermodynamics can be developed from a microscopic starting point in terms of entropy and the maximum entropy principle. We investigate here to what extent one can replace entropy with relative entropy which has several advantages, for example, in the context of local quantum field theory. We find that the principle of maximum entropy can be replaced by a principle of minimum expected relative entropy. Various ensembles and their thermodynamic potentials can be defined through relative entropy. We also show that thermal fluctuations are in fact governed by a relative entropy. Furthermore, we reformulate the third law of thermodynamics using relative entropy only.