Curvature of the Weinhold metric for thermodynamical systems with 2 degrees of freedom
Manuel Santoro, Serge Preston
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.
Create a lesson
Related papers
A local Yang-Baxter obstruction for the hard-square model
Gabriel Ortega, Eliecer Peña-Ancavil
Concavity of Normalized Generalized Brézin--Gross--Witten Correlators and Its Applications
Chenglang Yang, Xuhui Zhang
Large particle number asymptotics for point-interacting bosons in the plane
Rupert L. Frank, Robert Seiringer
A Counterexample to the Weak Gibbs and Regularity Conjectures
Marius Wesle
Spectral properties of twisted soft waveguides
Pavel Exner, David Spitzkopf
Fluctuating Hydrodynamics of Quantum Fluids from the Nonlinear Fokker-Planck Equation
Mingjian Gu, Zhaoyu Fei, Xiaoguang Wang