Positive heat capacity in the microcanonical ensemble

Mário J. de Oliveira

Physica A: Statistical Mechanics and its Applications, 2020, vol. 554, issue C

Abstract: The positivity of the heat capacity is the hallmark of thermal stability of systems in thermodynamic equilibrium. We show that this property remains valid for systems with negative derivative of energy with respect to temperature, as happens to some system described by the microcanonical ensemble. The demonstration rests on considering a trajectory on the Gibbs equilibrium surface, and its projection on the entropy-energy plane. The Gibbs equilibrium surface has the convexity property, but the projection might lack this property, leading to a negative derivative of energy with respect to temperature.

Keywords: Heat capacity; Microcanonical ensemble; Potts model (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:554:y:2020:i:c:s0378437120303459

DOI: 10.1016/j.physa.2020.124698

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