https://doi.org/10.1140/epjst/e2017-70052-8
Regular Article
Eliminating inertia in a stochastic model of a micro-swimmer with constant speed
1 Department of Physics, Humboldt-University at Berlin, Newtonstr. 15, 12489 Berlin, Germany
2 Department of Physics and Astronomy, Ohio University, Athens, Ohio 45701, USA
a e-mail: alsg@physik.hu-berlin.de
Received: 13 February 2017
Revised: 17 March 2017
Published online: 21 June 2017
We are concerned with the dynamical description of the motion of a stochastic micro-swimmer with constant speed and fluctuating orientation in the long time limit by adiabatic elimination of the orientational variable. Starting with the corresponding full set of Langevin equations, we eliminate the memory in the stochastic orientation and obtain a stochastic equation for the position alone in the overdamped limit. An equivalent procedure based on the Fokker-Planck equation is presented as well.
© EDP Sciences, Springer-Verlag, 2017
