# Anomalous Brownian motion via linear Fokker-Planck equations

@article{Bolivar2017AnomalousBM, title={Anomalous Brownian motion via linear Fokker-Planck equations}, author={A. O. Bolivar}, journal={arXiv: General Physics}, year={2017} }

According to a traditional point of view Boltzmann entropy is intimately related to linear Fokker-Planck equations (Smoluchowski, Klein-Kramers, and Rayleigh equations) that describe a well-known nonequilibrium phenomenon: (normal) Brownian motion of a particle immersed in a thermal bath. Nevertheless, current researches have claimed that non-Boltzmann entropies (Tsallis and Renyi entropies, for instance) may give rise to anomalous Brownian motion through nonlinear Fokker-Planck equations. The…

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