We propose a new method for deriving temporal characteristics of the nonstationary
diffusion in a one-dimensional medium without solving the partial differential equation. This …

We determine the relaxation rates of the stationary nonequilibrium concentration and flow of
a substance in a medium with sink and arbitrary space-varying diffusion coefficient. We used …

Relaxation Time of Material Density in a Medium with Arbitrary Space-Varying Diffusion
Coefficient and Potential Profile Page 1 Radiophysics and Quantum Electronics, Vol. 44, No. 4 …

Problems of non-stationary diffusion of radiation in onedimensional semi-infinite and infinite
media are considered. Exact solutions of the problems are given by the method based on …

Quasi-monochromatic theory is used to analyze the spatial diffusion with time of a wave
packet in a dissipative medium. It is shown that diffusion occurs regardless of the sign of …

In the approach of the transfer equation the emission propagating in a media with large-
scale fluctuations of scattering concentration is considered. It is shown that these fluctuations …

The approach the first-passage time (FPT) of a random process to a certain level is applied
to the description of radiation-enhanced diffusion. This is an integral approach to describing …

Based on the previously introduced integral criterion and a new approach to estimating the
time characteristics of diffusion, the relaxation time of impurity concentration in a medium …

When analyzing nonlinear stochastic systems, we deal with the chains of differential
equations for the moments or cumulants of dynamic variables. To disconnect such chains …

We analyze an inhomogeneous diffusion equation with the given potential profile and the
particle source and sink. The possibility of forming a nonequilibrium but stationary state of …