Physics, Volume 2, Issue 4 (December 2020) – 12 articles
Cover Story (view full-size image): The superstatistics theory was introduced at the beginning of this century by C. Beck and E. G. D. Cohen, in order to approach a complex system constituted by patches, such that each patch is characterized by a Boltzmann–Gibbs (BG) statistic with particular intensive parameters. Since then, the superstatistical approach has been used to describe numerous complex systems; among the applications is the characterization of diffusion in a heterogeneous environment, whose diffusivities are randomly distributed. In this scenario, we applied analytical and simulation approaches to explore the log-normal superstatistics for Brownian motion with random diffusivity; among the results, we show that the log-superstatistics imply a rich class of the non-Gaussian process that may admit normal or anomalous diffusion. View this paper.
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