Quasiparticles in a thermal process

Abstract

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.

Can a Lorentz Invariant Equation Describe Thermal Energy Propagation Problems?

“…4) it is worthy to reformulate it for this later use. It has been shown in the literature (Márkus & Gambár, 2005) that the quantization of the thermal field generates quasi particles and these particles may have a mass…”

“…This treating is an attempt to point out that the dynamic phase transition (Ma, 1982) between the two kinds of propagation, between a wave and a non-wave, or with another context it is better to say -between a non-dissipative and a dissipative thermal process -has a more general role and manifestation in the processes. As a starting point the Lagrange functions are given for both the Lorentz invariant heat propagation (Márkus & Gambár, 2005) and for the classical heat conduction (Fourier's heat conduction) (Gambár & Márkus, 1994). The first description is based on a Klein-Gordon type equation formulated by a negative "mass term".…”

“…Now, the Hamiltonian descriptions are written side by side -to prepare the later comparison -showing how the Lorentz invariant solution provides the classical solution in the limit of speed of light. The relevant Lagrangians, L w for the wave-like solution (Márkus & Gambár, 2005) and L c for the classical heat conduction (Gambár & Márkus, 1994) restricting our examination for the one dimensional case, are…”

“…The results of the presented theory ensures a deeper insight into the phenomena, thus hopefully it will contribute to the technical progress in the near future. It is an old and toughish question how to introduce the finite speed propagation of action in such physical processes like the thermal energy propagation (Eckart, 1940;Joseph & Preziosi, 1989;Jou et al, 2010;Márkus & Gambár, 2005;Sandoval-Villalbazo & García-Colín, 2000;Sieniutycz, 1994;Sieniutycz & Berry, 2002). There is no doubt that the solution must exist somehow and the suitable description should be Lorentz invariant.…”

Application of Potentials in the Description of Transport Processes

“…In this way, a kind of excitation of thermal processes (hotons) can be understood. These excitations are particularly interesting since these are deduced from a real thermodynamic background [22,23,24,25]. If this field can be successfully coupled with other fields in a consistent frame, then it is expected that the required criteria of thermodynamics -especially the second law of thermodynamics -will be the part of the description.…”