On the relation between entropy and energy versions of thermodynamic length
- 1 January 1984
- journal article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 80 (1) , 436-437
- https://doi.org/10.1063/1.446467
Abstract
The second derivative matrices of internal energy or of entropy may be used to define a metric structure on the set of equilibrium states of a thermodynamic system. When expressed relative to the same coordinates, the metric matrices are proportional to each other with constant of proportionality given by the negative of the absolute temperature. This establishes the conformal equivalence of the two metric structures.Keywords
This publication has 11 references indexed in Scilit:
- A group of coordinate transformations which preserve the metric of WeinholdJournal of Mathematical Physics, 1983
- Thermodynamic Length and Dissipated AvailabilityPhysical Review Letters, 1983
- New thermodynamic fluctuation theory using path integralsPhysical Review A, 1983
- Thermodynamic Critical Fluctuation Theory?Physical Review Letters, 1983
- Application of Riemannian geometry to the thermodynamics of a simple fluctuating magnetic systemPhysical Review A, 1981
- The significance of Weinhold’s lengthThe Journal of Chemical Physics, 1980
- Thermodynamics: A Riemannian geometric modelPhysical Review A, 1979
- Geometric representation of equilibrium thermodynamicsAccounts of Chemical Research, 1976
- Thermodynamics and geometryPhysics Today, 1976
- Metric geometry of equilibrium thermodynamicsThe Journal of Chemical Physics, 1975