On the Helmholtz Potential Metric: The Isotherm Length-Work Theorem |
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Authors: | Manuel Santoro |
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Affiliation: | (1) Department of Mathematics and Statistics, Portland State University, PO Box 751, Portland, OR 97207-0751, USA |
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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 |
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Keywords: | Geometry of thermodynamics equilibriumthermodynamics thermodynamic length |
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