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From subdiffusion to superdiffusion of particles on solid surfaces

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10.1103/PhysRevE.70.051104
 
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hdl:2117/2514

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Lacasta Palacio, Ana MaríaMés informacióMés informacióMés informació
Sancho, Jose Maria
Sokolov, Igor M.
Lindenberg, K.
Document typeArticle
Defense date2004-11-15
PublisherAmerican Physical Society
Rights accessOpen Access
All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder
Abstract
We present a numerical and partially analytical study of classical particles obeying a Langevin equation that describes diffusion on a surface modeled by a two dimensional potential. The potential may be either periodic or random. Depending on the potential and the damping, we observe superdiffusion, large-step diffusion, diffusion, and subdiffusion. Superdiffusive behavior is associated with low damping and is in most cases transient, albeit often long. Subdiffusive behavior is associated with highly damped particles in random potentials. In some cases subdiffusive behavior persists over our entire simulation and may be characterized as metastable. In any case, we stress that this rich variety of behaviors emerges naturally from an ordinary Langevin equation for a system described by ordinary canonical Maxwell-Boltzmann statistics.
CitationLacasta, A.M. et al. From subdiffusion to superdiffusion of particles on solid surfaces. "Physical Review E". vol. 70, núm. 5, p. 10 
URIhttp://hdl.handle.net/2117/2514
DOI10.1103/PhysRevE.70.051104
ISSN1063-651X
Publisher versionhttp://link.aps.org/doi/10.1103/PhysRevE.70.051104
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