Proposal for a total potential in thermodynamics
Abstract
A thermodynamic theory with thermal momentum is outlined. Balance equations are given for the mechanical and thermal momentum, heat capacity, and energy. A total potential of thermodynamics is then defined, which is in general a functional of the mechanical motion and its thermal analog and of their spatial and time derivatives and certain material constants. The space of the histories of these variables is introduced. Substitution of the balance equations into the total potential function yields fundamental relationships showing that dissipation is determined by the historical influences.
 Publication:

Gesellschaft Angewandte Mathematik und Mechanik Workshop Paris France
 Pub Date:
 May 1977
 Bibcode:
 1977GaMuM..57..153S
 Keywords:

 Potential Theory;
 Thermodynamic Properties;
 Boundary Value Problems;
 Constitutive Equations;
 Differential Equations;
 Thermal Conductivity;
 Thermodynamics and Statistical Physics