Some spectral properties of the transport operator are discussed, the dominant eigenvalue is proved existing, and furthermore, the conservative law of migrating particle numbers is established.
The concentration equation is treated by an implicit finite difference method that applies a form of the method of characteristics to the transport terms.
In this article a dynamical theory of the heat transport process is developed. The concept of temperature difference between subsystems is introduced through the temperatures when they are disconnected and each of them is in equilibrium; we then treat the interaction between two subsystems as a perturbation. The rigorous expression of the coefficient of heat conductivity is obtained. For a large and uniform system, it is reduced to Kubo's formula.
Using the method of van Hove in the theory of approach to equilibrium, we analyse Kubo's formula of transport coefficients. The results of dynamical theory are obtained without using the assumption of random phase and compared with the solution of Boltzmann equation. We expect that the phase interference effect may be observed in the high-frequency phenomena of strongly interacting system. The macroscopic measurement of high-frequency linear transport process does not destroy this interference e...
Using the theory developed in [9], certain questions of transport process in strong magnetic field are discussed. In the first place, we show that for this type of transport process one must consider the boundary condition explicitly. For transverse conductivity, it is not necessary to solve the kinetic equation of the Boltzmann type when the boundary condition is treated correctly, and Titeica's picture is shown to be correct in general order of perturbation expansion. Secondly, the solution of...