Microcanonical entropy for classical systems

Year: 2018

Authors: Franzosi R.

Autors Affiliation: QSTAR and CNR – Istituto Nazionale di Ottica, Largo Enrico Fermi 2, I-50125 Firenze, Italy

Abstract: The entropy definition in the microcanonical ensemble is revisited. We propose a novel definition for the microcanonical entropy that resolve the debate on the correct definition of the microcanonical entropy. In particular we show that this entropy definition fixes the problem inherent the exact extensivity of the caloric equation. Furthermore, this entropy reproduces results which are in agreement with the ones predicted with standard Boltzmann entropy when applied to macroscopic systems. On the contrary, the predictions obtained with the standard Boltzmann entropy and with the entropy we propose, are different for small system sizes. Thus, we conclude that the Boltzmann entropy provides a correct description for macroscopic systems whereas extremely small systems should be better described with the entropy that we propose here. (C) 2017 Elsevier B.V. All rights reserved.


Volume: 494      Pages from: 302  to: 307

KeyWords: Physics, Boltzmann entropy; Classical systems; Extensivity; Macroscopic systems; Microcanonical ensembles; Microcanonical entropy; Small systems, Entropy
DOI: 10.1016/j.physa.2017.12.059

Citations: 9
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