Statistical origin of Legendre invariant metrics
Statistical Mechanics
2019-05-08 v1 Mathematical Physics
math.MP
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
Cite
@article{arxiv.1811.09970,
title = {Statistical origin of Legendre invariant metrics},
author = {V. Pineda-Reyes and Lenin F. Escamilla-Herrera and Christine Gruber and Francisco Nettel and Hernando Quevedo},
journal= {arXiv preprint arXiv:1811.09970},
year = {2019}
}
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11 pages