Numerical simulation of Fokker-Plank equation for the assembly of noninteracting oscillators with the Boze statistics

Abstract:

Ensembles of oscillators which obey Fermi-Dirac and Bose-Einstein statistics is described in terms of the Fokker-Planck equation with non-linearity in it's right-hand side. Numerical solution was obtained by the explicit monotone finite volume method with the limiter. The efficiency of the algorithm is confirmed by a number of calculations, which allow us to compare the behavior of oscillators obeying Bose-Einstein and Boltzmann statistics at low temperatures.

Publication language:russian, страниц:14

Research direction:

Mathematical modelling in actual problems of science and technics