IJPAM: Volume 93, No. 6 (2014)

THE EINSTEIN LAW FOR THE SYSTEM "BROWNIAN
PARTICLE IN THERMOSTAT" BASED ON
THE PRESENTED PROBABILITY APPROACH

Halyna M. Hubal
Computer Science and Information Technologies Faculty
Lutsk National Technical University
75 Lvivs'ka str., Lutsk 43018, UKRAINE


Abstract. A one-dimensional system "Brownian particle in thermostat" is considered. The equation -- the Einstein law for Brownian motion is derived on the basis of presented probability approach in the paper. The kinetic equation for space part of the distribution function is obtained.

Received: May 11, 2014

AMS Subject Classification: 35Q82

Key Words and Phrases: system "Brownian particle in thermostat", the Einstein law, the probability approach

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DOI: 10.12732/ijpam.v93i6.12 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 93
Issue: 6
Pages: 885 - 895

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).