On the Helmholtz Potential metric: The Isotherm Length-Work Theorem
Mathematical Physics
2009-11-10 v6 math.MP
Abstract
In this paper we introduce the Isotherm Length-Work theorem using the Helmholtz potential metric and the virial expansion of pressure in inverse power of molar volume. The theorem tells us what length of a thermodynamical system described by equation of state through virial expansion along isotherms actually is with such a metric. We also give explicit solutions for thermodynamic length along isotherms in the case of first, second and third order expansion.
Cite
@article{arxiv.math-ph/0404040,
title = {On the Helmholtz Potential metric: The Isotherm Length-Work Theorem},
author = {Manuel Santoro},
journal= {arXiv preprint arXiv:math-ph/0404040},
year = {2009}
}