Run-and-Tumble Dynamics of Self-Propelled Particles in Confinement
Statistical Mechanics
2015-03-29 v1 Soft Condensed Matter
Biological Physics
Abstract
Run-and-tumble dynamics is a wide-spread mechanism of swimming bacteria. The accumulation of run-and-tumble microswimmers near impermeable surfaces is studied theoretically and numerically in the low-density limit in two and three spatial dimensions. Both uni-modal and exponential distributions of the run lengths are considered. Constant run lengths lead to {peaks and depletions regions} in the density distribution of particles near the surface, in contrast to {exponentially-distributed run lengths}. Finally, we present a universal accumulation law for large channel widths, which applies not only to run-and-tumble swimmers, but also to many other kinds of self-propelled particles.
Keywords
Cite
@article{arxiv.1503.06454,
title = {Run-and-Tumble Dynamics of Self-Propelled Particles in Confinement},
author = {Jens Elgeti and Gerhard Gompper},
journal= {arXiv preprint arXiv:1503.06454},
year = {2015}
}