Inducing Weinhold’s metric from Euclidean and Riemannian metrics
- 1 February 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 37 (3) , 849-851
- https://doi.org/10.1103/physreva.37.849
Abstract
We show that Weinhold’s metric cannot be induced on the equation-of-state surface from a Euclidean metric in the ambient space of all extensive state variables, whereas it can be induced if the ambient space is assumed to have only a Riemannian metric. This metric, however, is not unique.This publication has 15 references indexed in Scilit:
- Thermodynamic geometry and the metrics of Weinhold and GilmorePhysical Review A, 1988
- Reply to ‘‘Comment on ‘Length and curvature in the geometry of thermodynamics’ ’’Physical Review A, 1985
- Length and curvature in the geometry of thermodynamicsPhysical Review A, 1984
- Thermodynamics: A Riemannian geometric modelPhysical Review A, 1979
- Metric geometry of equilibrium thermodynamics. V. Aspects of heterogeneous equilibriumThe Journal of Chemical Physics, 1976
- Geometric representation of equilibrium thermodynamicsAccounts of Chemical Research, 1976
- Metric geometry of equilibrium thermodynamics. III. Elementary formal structure of a vector-algebraic representation of equilibrium thermodynamicsThe Journal of Chemical Physics, 1975
- Metric geometry of equilibrium thermodynamics. IV. Vector-algebraic evaluation of thermodynamic derivativesThe Journal of Chemical Physics, 1975
- Metric geometry of equilibrium thermodynamicsThe Journal of Chemical Physics, 1975
- Metric geometry of equilibrium thermodynamics. II. Scaling, homogeneity, and generalized Gibbs–Duhem relationsThe Journal of Chemical Physics, 1975