Non-Markovian Effects on the Brownian Motion of a Free Particle

Details Non-Markovian Effects on the Brownian Motion of a Free Particle Non-Markovian Effects on the Brownian Motion of a Free Particle

2010-03-16

arxiv.org/abs/1003.3443v1

Physica A 390 (2011) 3095-3107

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1016/j.physa.2011.04.014

Non-Markovian effects upon the Brownian movement of a free particle in the presence as well as in the absence of inertial force are investigated within the framework of Fokker-Planck equations (Rayleigh and Smoluchowski equations). More specifically, it is predicted that non-Markovian features can enhance the values of the mean square displacement and momentum, thereby assuring the mathematical property of differentiability of the these physically observable quantities.

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