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25 April 2024
 
  » arxiv » math-ph/0404040

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On the Helmholtz Potential metric: The Isotherm Length-Work Theorem
Manuel Santoro ;
Date 16 Apr 2004
Journal Journal of Statistical Physics, Vol. 120, Nos. 3/4, August 2005
Subject Mathematical Physics | math-ph math.MP
AbstractIn 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.
Source arXiv, math-ph/0404040
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