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On equivalence of two metrics in classical thermodynamics

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  • Mrugała, R.

Abstract

The concepts of distance between states in equilibrium thermodynamics introduced by Weinhold and Ruppeiner were based on the stability conditions and theory of fluctuations, respectively. It has been shown that both these Riemannian matrices are equivalent up to a multiplicative function. They are connected by a contact transformation acting on the thermodynamic phase space. The family of contact transformation produces a set of new metrics from some reference metric. Such transformations can be also considered as a practical method for evaluating partial derivatives of thermodynamic functions.

Suggested Citation

  • Mrugała, R., 1984. "On equivalence of two metrics in classical thermodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 125(2), pages 631-639.
    • Handle: RePEc:eee:phsmap:v:125:y:1984:i:2:p:631-639
    DOI: 10.1016/0378-4371(84)90074-8
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