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Spherical particle Brownian motion in viscous medium as non-Markovian random process
Authors:Andrey N. Morozov Alexey V. Skripkin
Affiliation:Bauman Moscow State Technical University, 5, 2nd Baumanskaya str., Moscow, Russia
Abstract:The Brownian motion of a spherical particle in an infinite medium is described by the conventional methods and integral transforms considering the entrainment of surrounding particles of the medium by the Brownian particle. It is demonstrated that fluctuations of the Brownian particle velocity represent a non-Markovian random process. The features of Brownian motion in short time intervals and in small displacements are considered.
Keywords:Brownian motion   Non-Markovian process   Characteristic function
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