On the Helmholtz Potential metric: The Isotherm Length-Work Theorem

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.

References in corpus (3)

• Thermodynamic length in a 2-D thermodynamic state space
• Weinhold'length in an isentropic Ideal and quasi-Ideal Gas
• Weinhold'length in an isochoric thermodynamic system at constant heat capacity

Cited by in corpus (3)

• Contact Symmetries and Hamiltonian Thermodynamics
• Conformal Gauge Transformations in Thermodynamics
• Contact polarizations and associated metrics in geometric thermodynamics