On the dispute between Boltzmann and Gibbs entropy
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Publication:1689644
DOI10.1016/j.aop.2016.10.017zbMath1378.82011arXiv1601.01509OpenAlexW3099208339MaRDI QIDQ1689644
Pierfrancesco Buonsante, Augusto Smerzi, Roberto Franzosi
Publication date: 17 January 2018
Published in: Annals of Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1601.01509
Classical equilibrium statistical mechanics (general) (82B05) Quantum equilibrium statistical mechanics (general) (82B10)
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Cites Work
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- Microcanonical entropy and dynamical measure of temperature for systems with two first integrals
- Boltzmann and Gibbs: an attempted reconciliation
- On the mechanical foundations of thermodynamics: the generalized Helmholtz theorem
- Does the Boltzmann principle need a dynamical correction?
- The connection between thermodynamic entropy and probability
- Statistical physics I. Equilibrium statistical mechanics. Rev. transl. from the Japanese ed. by Morikazu Toda and Nobuhiko Saitô.
- Negative temperatures and the definition of entropy
- On the convexity of geometric functionals of level for solutions of certain elliptic partial differential equations
- Thermodynamics and Statistical Mechanics at Negative Absolute Temperatures
- Fundamentals of Thermodynamics and Applications
- Gibbs vs Boltzmann Entropies
- Phase transitions in ``small systems -- a challenge for thermodynamics