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From subdiffusion to superdiffusion of particles on solid surfaces
Lacasta Palacio, Ana María; Sancho, José M.; Romero, A. H.; Sokolov, Igor M., 1958-; Lindenberg, Katja
Universitat de Barcelona
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.
2011-07-26
Física estadística
Termodinàmica
Sistemes dinàmics diferenciables
Transformacions de fase (Física estadística)
Pel·lícules fines
Statistical physics
Thermodynamics
Differentiable dynamical systems
Phase transformations (Statistical physics)
Thin films
(c) The American Physical Society, 2004
Article
The American Physical Society
         

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