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arXiv · 1003.3443

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

A. O. Bolivar
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Abstract

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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A. O. Bolivar. 2010-03-16. Non-Markovian Effects on the Brownian Motion of a Free Particle. https://doi.org/10.1016/j.physa.2011.04.014

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