Curvature of the Weinhold Metric for Thermodynamical Systems with 2 Degrees of Freedom

Authors

Manuel Santoro, Portland State University
Serge Preston, Portland State UniversityFollow

Document Type

Post-Print

Publication Date

2005

Subjects

Thermodynamics - Mathematics, Thermodynamics, Phase rule and equilibrium

Abstract

In this work the curvature of Weinhold (thermodynamical) metric is studied in the case of systems with two thermodynamical degrees of freedom. Conditions for the Gauss curvature R to be zero, positive or negative are worked out. Signature change of the Weinhold metric and the corresponding singular behavior of the curvature at the phase boundaries are studied. Cases of systems with the constant C_v, including Ideal and Van der Waals gases, and that of Berthelot gas are discussed in detail.

Description

This is the author’s version of a work. Originally published in: arXiv

Persistent Identifier

http://archives.pdx.edu/ds/psu/13333

Citation Details

Santoro, Manuel and Preston, Serge, "Curvature of the Weinhold Metric for Thermodynamical Systems with 2 Degrees of Freedom" (2005). Mathematics and Statistics Faculty Publications and Presentations. 98.
http://archives.pdx.edu/ds/psu/13333