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Article
Curvature of the Weinhold Metric for Thermodynamical Systems with 2 Degrees of Freedom
Mathematics and Statistics Faculty Publications and Presentations
  • Manuel Santoro, Portland State University
  • Serge Preston, Portland State University
Document Type
Post-Print
Publication Date
1-1-2005
Subjects
  • Thermodynamics - Mathematics,
  • Thermodynamics,
  • Phase rule and equilibrium
Disciplines
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 Cv, 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 Information
Manuel Santoro and Serge Preston. "Curvature of the Weinhold Metric for Thermodynamical Systems with 2 Degrees of Freedom" (2005)
Available at: http://works.bepress.com/serge_preston/3/