Eliminating inertia in a stochastic model of a micro-swimmer with constant speed

作者: S. Milster , J. Nötel , I. M. Sokolov , L. Schimansky-Geier

DOI: 10.1140/EPJST/E2017-70052-8

关键词: Limit (mathematics)Stochastic differential equationMathematical analysisVariable (mathematics)PhysicsStochastic modellingAdiabatic processInertiaClassical mechanicsOrientation (geometry)Position (vector)

摘要: We are concerned with the dynamical description of motion a stochastic micro-swimmer constant speed and fluctuating orientation in long time limit by adiabatic elimination orientational variable. Starting corresponding full set Langevin equations, we eliminate memory obtain equation for position alone overdamped limit. An equivalent procedure based on Fokker-Planck is presented as well.

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