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Entropy meters and the entropy of non-extensive systems

Autor(en)
Elliott H. Lieb, Jakob Yngvason
Abstrakt

In our derivation of the second law of thermodynamics from the relation of adiabatic accessibility of equilibrium states, we stressed the importance of being able to scale a system's size without changing its intrinsic properties. This leaves open the question of defining the entropy of macroscopic, but unscalable systems, such as gravitating bodies or systems where surface effects are important. We show here how the problem can be overcome, in principle, with the aid of an ‘entropy meter’. An entropy meter can also be used to determine entropy functions for non-equilibrium states and mesoscopic systems.

Organisation(en)
Mathematische Physik, Forschungsplattform Internationales Erwin Schrödinger Institut für Mathematik und Physik
Externe Organisation(en)
Princeton University
Journal
Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences
Band
470
Anzahl der Seiten
9
ISSN
1364-5021
DOI
https://doi.org/10.1098/rspa.2014.0192
Publikationsdatum
07-2014
Peer-reviewed
Ja
ÖFOS 2012
103019 Mathematische Physik
Schlagwörter
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/0fd48037-8f3d-44ac-af99-784f3f1f8df6