Phys. Rev. A 37, 849 (1988) - Inducing Weinhold's metric from Euclidean and Riemannian metrics

Inducing Weinhold’s metric from Euclidean and Riemannian metrics

Bjarne Andresen, R. Stephen Berry, Ed Ihrig, and Peter Salamon

Phys. Rev. A 37, 849 – Published 1 February 1988

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.

Received 11 May 1987

DOI:https://doi.org/10.1103/PhysRevA.37.849

©1988 American Physical Society

Authors & Affiliations

Bjarne Andresen

Physics Laboratory, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen, Denmark

R. Stephen Berry

Department of Chemistry, University of Chicago, Chicago, Illinois 60637

Department of Mathematics, Arizona State University, Tempe, Arizona 85281

Department of Mathematical Sciences, San Diego State University, San Diego, California 92182

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Issue

Vol. 37, Iss. 3 — February 1988

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