Generalized Hamilton-Jacobi equation for simple dissipative processes.
Following the method of classical mechanics, we calculate the action for Fourier heat conduction from the classical Hamilton-Jacobi equation. We can write a Schrödinger-type equation and we obtain its solution, the kernel by which we may introduce a kind of wave function. Mathematically, we follow Bohm's method introduced to quantum mechanics. The generalized Hamilton-Jacobi equation-which may be handled as a quantum-thermodynamical form-can be calculated. Irreversibility and dissipation are included in a natural way in the field theory of nonequilibrium thermodynamics, so in this way we obtain a quantum-thermodynamical approach of simple dissipative processes.
Institute of Physics, Budapest University of Technology and Economics, Budafoki út 8., H-1521 Budapest, Hungary.
Ferenc
F
Márkus
Katalin
K
Gambár