Thermodynamic length in a 2-D thermodynamic state space

Abstract

The main goal of this paper is to reach an explicit formulation and possible interpretation of thermodynamic length in a thermodynamic state space with two degrees of freedom. Using the energy and entropy metric in a general form, we get explicit results about thermodynamic length along isotherms, its relation with work and with speed of sound. We also look at the relation between the determinants of the energy and entropy metrics and find that they differ by a factor of $T^4$.

Accepted for publication to J.Chem.Phys

Cited by in corpus (6)

• Geometrothermodynamics
• The geometry of thermodynamics
• Thermodynamic curvature and ensemble nonequivalence
• Weinhold'length in an isentropic Ideal and quasi-Ideal Gas
• Weinhold'length in an isochoric thermodynamic system at constant heat capacity
• On the Helmholtz Potential metric: The Isotherm Length-Work Theorem