Fractional Non-Markovian effect and Newton's 2nd law of motion

Chun-Yang Wang; Ming Yi; Shu-Qin Lv

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Fractional Non-Markovian effect and Newton's 2nd law of motion

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arxiv 1502.06182 v1 pith:JYMJONEW submitted 2015-02-22 cond-mat.stat-mech

Chun-Yang Wang , Shu-Qin Lv , Ming Yi This is my paper · ORCID

classification cond-mat.stat-mech

keywords fractionalsystemmotionnewtonnon-markovianpropertiesabundantanomalous

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We report in this paper a thorough study on the the dynamical mechanics of the fractional Brownian motion systems. Where several non-trivial properties are revealed such as the abundant non-Markovian effects resulted from the fractional characters of the system. In general, the dynamics of the fBm system is found to be of a purely Newton's type, despite of the anomalous fractional properties of the system.

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