Anomalous diffusion in viscosity landscapes
Statistical Mechanics
2015-05-20 v1
Abstract
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.
Cite
@article{arxiv.1010.3115,
title = {Anomalous diffusion in viscosity landscapes},
author = {Markus Burgis and Volker Schaller and Martin Glässl and Benjamin Kaiser and Werner Köhler and Alexei Krekhov and Walter Zimmermann},
journal= {arXiv preprint arXiv:1010.3115},
year = {2015}
}
Comments
15 pages