Eliminating Inertia in a Stochastic Model of a Micro-Swimmer with Constant Speed
Statistical Mechanics
2017-08-02 v1 Biological Physics
Abstract
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.
Keywords
Cite
@article{arxiv.1704.05679,
title = {Eliminating Inertia in a Stochastic Model of a Micro-Swimmer with Constant Speed},
author = {S. Milster and J. Noetel and I. M. Sokolov and L. Schimansky-Geier},
journal= {arXiv preprint arXiv:1704.05679},
year = {2017}
}