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Title of Article

THE FEATURES OF BROWNIAN PARTICLE DIFFUSION IN THE BACKGROUND GAS FLOW WITH A GIVEN VELOCITY PROFILE


Issue
5
Date
2011

Article type
scientific article
UDC
530.162
Pages
189-195
Keywords
Brownian diffusion, Langevin equations, Fokker-Plank equation, Euler's statistics, Lagrange's statistics


Authors
Pavlychev Nikolay Sergeevich
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo

Gribova Evgeniya Zinovevna
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo


Abstract
The problem of Brownian particle diffusion in the background gas flow with a given velocity profile is considered. The Fokker-Plank equation is derived on the basis of Langevin stochastic equations. The histograms of Euler characteristics (time required to reach and velocity at the detector) of impurity particles are obtained by numerical simulation. The solution for the Fokker-Plank equation is found by a numerical-analytical method taking into account boundary conditions.

File (in Russian)