Canonical formulation of Thermodynamics, and corresponding wave equation for far from equilibrium case

Abstract

Lagrange and Hamilton equations for thermodynamic evolution near equilibrium as well as Schrodinger-like equation for the non-equilibrium case are obtained extending the CPDQ Principle (Constancy of the product momentum-oordinate uncertainty) to a new conjugate pair where the momentum f is the extension of the mechanical f=p.δq product for the case the coordinate q is not directly observable. Applied to the case of a particle in a one dimension box, the results are in agreement with reported calculated and measured thermal conductance.

9 pages, 4 figures

References in corpus (3)

• Quantum properties of classical Fisher information
• A Schroedinger link between non-equilibrium thermodynamics and Fisher information
• Entropy, time irreversibility and Schroedinger equation in a primarily discrete space-time