Regensburg 2004 – scientific programme

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DY: Dynamik und Statistische Physik

DY 40: Lyapunov Instability of Many-Body Systems

DY 40.5: Talk

Thursday, March 11, 2004, 10:45–11:00, H2

Diffusion on a solid surface: Anomalous is normal — •Sokolov Igor¹, Sancho Jose Maria², Lindenberg Katja³, Lakasta Ana Maria⁴, and Romero Aldo⁵ — ¹Institut für Physik, Humboldt Universitæt zu Berlin — ²Facultat de Física, Universitat de Barcelona, Spain — ³Department of Chemistry and Biochemistry, University of California, San Diego, USA — ⁴Departament de Física Aplicada, Universitat Politècnica de Catalunya, Barcelona, Spain — ⁵Advanced Materials Department, IPICyT, San Luis Potosí, Mexico

We discuss results of a numerical study of classical particles diffusing on a solid surface. The particles’ motion is modeled by an underdamped Langevin equation with additive thermal noise under delailed-balance conditions. The particle-surface interaction is described by a periodic or a random two dimensional potential. The model leads to a rich variety of different transport regimes, some of which correspond to anomalous diffusion such as has recently been observed in experiments and Monte Carlo simulations. We show that this anomalous behavior is controlled by the friction coefficient, and stress that it emerges naturally in a system described by ordinary canonical Maxwell-Boltzmann statistics.