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• W2034352409 abstract "We investigate fractional Brownian motion with a microscopic random-matrix model and introduce a fractional Langevin equation. We use the latter to study both sub- and superdiffusion of a free particle coupled to a fractal heat bath. We further compare fractional Brownian motion with the fractal time process. The respective mean-square displacements of these two forms of anomalous diffusion exhibit the same power-law behavior. Here we show that their lowest moments are actually all identical, except the second moment of the velocity. This provides a simple criterion which enables to distinguish these two non-Markovian processes." @default.
• W2034352409 created "2016-06-24" @default.
• W2034352409 creator A5020533537 @default.
• W2034352409 date "2001-10-18" @default.
• W2034352409 modified "2023-10-16" @default.
• W2034352409 title "Fractional Langevin equation" @default.
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• W2034352409 doi "https://doi.org/10.1103/physreve.64.051106" @default.
• W2034352409 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/11735899" @default.
• W2034352409 hasPublicationYear "2001" @default.
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