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On the Helmholtz potential metric: the isotherm length-work theorem. (English) Zbl 1092.82018

Summary: 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

MSC:

82B30 Statistical thermodynamics

References:

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