Biomedical subjects
Publications and source records attributed to Ferenc Márkus.
We introduce an abstract scalar field and a covariant field equation, by which we make an attempt to connect the Fourier heat conduction and wave-like heat propagation. This field can be the generalization of the usual temperature from a dynamical point of view. It is shown that a kind of effective mass of this thermal process can be calculated. Finally, we express the unit of dissipative action with the help of universal constants.
In the present Rapid Communication we calculate the density matrix of heat conduction based on the field theory of nonequilibrium thermodynamics, which was worked out in the last 10 years. Applying these results we can discuss the existence of the maximal temperature and a possible upper limit for its value. We point out, proposing relevant physical assumptions, that this temperature could be the so-called Planck temperature [J. A. S. Lima and M. Trodden, Phys. Rev. D 53, 4280 (1996)].
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.
In the present paper we discuss the possible form and meaning of Fisher, bound, and physical information in some special cases. It seems to us that an unusual choice of bound information may describe the behavior of dissipative processes.