transport equation

By means of the method of Zubarev's nonequilibrium statistical operator, the generalized Fokker--Planck equation for the distribution function of liquidity accumulations has been obtained.  The generalized velocity and transport kernels describing dynamic correlations between liquidity accumulations of different categories of families have been determined.  The system of non-Markov transport equations for non-equilibrium average values of liquidity accumulations for different categories of families has been obtained.  Memory effects have been analyzed using the fractional calculus, which ha

We propose a statistical theory of classical-quantum description of electro-diffusion processes of intercalation in "electrolyte – electrode" system. Using the nonequilibrium statistical operator method the generalized transport equations of Nernst-Planck type for ions and electrons in the "electrolyte – electrode" system are obtained. These equations take into account time memory effects and spatial heterogeneity. Within a classical description an analytical calculation of spatially inhomogeneous diffusion coefficients for ions is carried out.