Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-07-29
Physics
Condensed Matter
Statistical Mechanics
Scientific paper
10.1103/PhysRevE.70.051104
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.
Lacasta A. M.
Lindenberg Katja
Romero Aldo H.
Sancho Jose Maria
Sokolov Igor M.
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