Run-and-tumble dynamics of self-propelled particles in confinement
Theoretical Soft Matter and Biophysics, Institute of Complex Systems and Institute for Advanced Simulation, Forschungszentrum Jülich - 52425 Jülich, Germany
Received: 26 November 2014
Accepted: 18 February 2015
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.
PACS: 82.70.-y – Disperse systems; complex fluids / 45.50.-j – Dynamics and kinematics of a particle and a system of particles / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion
© EPLA, 2015