Relation between Anomalous and Normal Diffusion in Systems with Memory

Rafael Morgado, Fernando A. Oliveira, G. George Batrouni, and Alex Hansen
Phys. Rev. Lett. 89, 100601 – Published 14 August 2002

Abstract

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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  • Received 7 November 2001

DOI:https://doi.org/10.1103/PhysRevLett.89.100601

©2002 American Physical Society

Authors & Affiliations

Rafael Morgado and Fernando A. Oliveira

  • International Center of Condensed Matter Physics and Instituto de Fisica, Universidade de Brasília, CP 04515, 70919-970 Brasília DF, Brazil

G. George Batrouni

  • Institut Non-Linéaire de Nice, UMR CNRS 6618, Université de Nice-Sophia Antipolis, 1361 Rute des Lucioles, F-06560 Valbonne, France

Alex Hansen

  • Department of Physics, Norwegian University of Science and Technology, N-7491 Trondheim, Norway

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Issue

Vol. 89, Iss. 10 — 2 September 2002

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