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

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

2004-04-16

arxiv.org/abs/math-ph/0404040v6

Journal of Statistical Physics, Vol. 120, Nos. 3/4, August 2005

Physics

Mathematical Physics

Scientific paper

10.1007/s10955-005-7006-1

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.

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