Statistical origin of Legendre invariant metrics

V. Pineda-Reyes, L.F. Escamilla-Herrera, C. Gruber, F. Nettel and H. Quevedo

Physica A: Statistical Mechanics and its Applications, 2019, vol. 526, issue C

Abstract: Legendre invariant metrics have been introduced in Geometrothermodynamics to take into account the important fact that the thermodynamic properties of physical systems do not depend on the choice of thermodynamic potential from a geometric perspective. In this work, we show that these metrics also have a statistical origin which can be expressed in terms of the average and variance of the differential of the microscopic entropy. To show this, we use a particular reparametrization of the coordinates of the corresponding thermodynamic phase space.

Keywords: Statistical mechanics; Thermodynamics; Geometrothermodynamics (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:526:y:2019:i:c:s037843711930367x

DOI: 10.1016/j.physa.2019.04.003

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