Statistical origin of Legendre invariant metrics

DOI10.1016/J.PHYSA.2019.04.003arXiv1811.09970WikidataQ128114878 ScholiaQ128114878MaRDI QIDQ6310162

Hernando Quevedo, Francisco Nettel, Christine Gruber, L. F. Escamilla-Herrera, V. Pineda-Reyes

Publication date: 25 November 2018

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.

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

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