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

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

2011-09-28

arxiv.org/abs/1109.6204v1

Physics

Quantum Physics

9 pages, 4 figures

Scientific paper

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.{\delta}q 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.

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