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Relation between anomalous and normal diffusion in systems with memory

We present a simple criterion based on the Einstein relation for determining whether diffusion in systems governed by a generalized Langevin equation with long-range memory is normal, superdiffusive, or subdiffusive. We support our analysis with numerical simulations.

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Bibliographic Details
Published in:Physical review letters 2002-09, Vol.89 (10), p.100601-100601, Article 100601
Main Authors: Morgado, Rafael, Oliveira, Fernando A, Batrouni, G George, Hansen, Alex
Format: Article
Language:English
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Summary:We present a simple criterion based on the Einstein relation for determining whether diffusion in systems governed by a generalized Langevin equation with long-range memory is normal, superdiffusive, or subdiffusive. We support our analysis with numerical simulations.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.89.100601