On the dispute between Boltzmann and Gibbs entropy
Authors: Buonsante P., Franzosi R., Smerzi A.
Autors Affiliation: QSTAR & CNR – Istituto Nazionale di Ottica, Largo Enrico Fermi 2, I-50125 Firenze, Italy
Abstract: The validity of the concept of negative temperature has been recently challenged by arguing that the Boltzmann entropy (that allows negative temperatures) is inconsistent from a mathematical and statistical point of view, whereas the Gibbs entropy (that does not admit negative temperatures) provides the correct definition for the microcanonical entropy. Here we prove that the Boltzmann entropy is thermodynamically and mathematically consistent. Analytical results on two systems supporting negative temperatures illustrate the scenario we propose. In addition we numerically study a lattice system to show that negative temperature equilibrium states are accessible and obey standard statistical mechanics prediction. (C) 2016 Elsevier Inc. All rights reserved.
Journal/Review: ANNALS OF PHYSICS
Volume: 375 Pages from: 414 to: 434
KeyWords: Statistical Mechanics; Microcanonical Ensemble; Optical LatticesDOI: 10.1016/j.aop.2016.10.017Citations: 16data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2019-11-10References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here