The Fokker–Planck equation for the system “Brownian particle in thermostat” based on the presented probability approach

H. M. Hubal

Lutsk National Technical University, 75 Lvivs'ka Str., Lutsk, 43018, Ukraine

Abstract: A one-dimensional system “Brownian particle in thermostat” is considered. The Fokker–Planck equation describing dynamics of the particle system under consideration is derived on the basis of the presented probability approach. The solution of the derived equation is also obtained.

Key words and phrases: Brownian particle, thermostat, the Fokker–Planck equation, the probability approach.

MSC: 35Q72

Received: 27.04.2009

Language: English

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