Entropy Meters and the Entropy of Non-extensive Systems
Mathematical Physics
2015-06-19 v2 Statistical Mechanics
math.MP
Classical Physics
Abstract
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.
Keywords
Cite
@article{arxiv.1403.0902,
title = {Entropy Meters and the Entropy of Non-extensive Systems},
author = {Elliott H. Lieb and Jakob Yngvason},
journal= {arXiv preprint arXiv:1403.0902},
year = {2015}
}
Comments
Comments and references added to the Introduction. To be published in the Proceedings of The Royal Society A