On the dispute between Boltzmann and Gibbs entropy
Anno: 2016
Autori: Buonsante P., Franzosi R., Smerzi A.
Affiliazione autori: 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.
Giornale/Rivista: ANNALS OF PHYSICS
Volume: 375 Da Pagina: 414 A: 434
Parole chiavi: Statistical Mechanics, Microcanonical ensemble, Bose Einstein condensation, Photorefractive crystalsDOI: 10.1016/j.aop.2016.10.017Citazioni: 39dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2024-04-14Riferimenti tratti da Isi Web of Knowledge: (solo abbonati) Link per visualizzare la scheda su IsiWeb: Clicca quiLink per visualizzare la citazioni su IsiWeb: Clicca qui