Anomalous diffusion in viscosity landscapes

Details Anomalous diffusion in viscosity landscapes Anomalous diffusion in viscosity landscapes

2010-10-15

arxiv.org/abs/1010.3115v1

Physics

Condensed Matter

Statistical Mechanics

15 pages

Scientific paper

Anomalous diffusion is predicted for Brownian particles in inhomogeneous viscosity landscapes by means of scaling arguments, which are substantiated through numerical simulations. Analytical solutions of the related Fokker-Planck equation in limiting cases confirm our results. For an ensemble of particles starting at a spatial minimum (maximum) of the viscous damping we find subdiffusive (superdiffusive) motion. Superdiffusion occurs also for a monotonically varying viscosity profile. We suggest different substances for related experimental investigations.

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