THE FEATURES OF BROWNIAN PARTICLE DIFFUSION IN THE BACKGROUND GAS FLOW WITH A GIVEN VELOCITY PROFILE |
5 | |
2011 |
scientific article | 530.162 | ||
189-195 | Brownian diffusion, Langevin equations, Fokker-Plank equation, Euler's statistics, Lagrange's statistics |
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. |
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