From subdiffusion to superdiffusion of particles on solid surfaces
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...
| Autores: | , , , |
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| Formato: | artículo |
| Fecha de publicación: | 2004 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/2514 |
| Acesso em linha: | https://hdl.handle.net/2117/2514 https://dx.doi.org/10.1103/PhysRevE.70.051104 |
| Access Level: | acceso abierto |
| Palavra-chave: | Diffusion Langevin equations Surfaces (Physics) Nonlinear systems Nonlinear dynamics Diffusion on surfaces Superdiffusion Random potentials Sistemes no lineals Difusió Superfícies (Física) Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics |
| Resumo: | 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. |
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