| Abstract: | Equations for the moments of spatial particle distribution in a homogeneous medium with isotropic scattering are derived for
the nonstationary one-velocity problem of transport theory. Exact analytical and numerical solutions are found for five even
moments (from the second to the tenth one) by the Laplace transform method, and an algorithm for calculating the moments of
arbitrary order is described. Convergence to the corresponding moments is investigated in the diffusion approximation for
t→∞, and its nonuniform character is established: higher moments differ significantly from the corresponding diffusion moments
at any t. The physical causes for such behavior of the moments are discussed.
Ul'yanovsk State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 88–94, February, 2000. |
