Eliminating Inertia in a Stochastic Model of a Micro-Swimmer with Constant Speed

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.

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• Search and Return Model for Stochastic Path Integrators
• Adiabatic elimination of inertia of the stochastic microswimmer driven by $\alpha -$stable noise
• Langevin equations and a geometric integration scheme for the overdamped limit of rotational Brownian motion of axisymmetric particles
• Demixing of two species via reciprocally concentration-dependent diffusivity
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