title: Random walk of a swimmer in a low-Reynolds-number medium.
abstract: Swimming at a micrometer scale demands particular strategies. When inertia is negligible compared to viscous forces, hydrodynamics equations are reversible in time. To achieve propulsion, microswimmers must therefore deform in a way that is not invariant under time reversal. Here, we investigate dispersal properties of the microalga Chlamydomonas reinhardtii by means of microscopy and cell tracking. We show that tracked trajectories are well modeled by a correlated random walk. This process is based on short time correlations in the direction of movement called persistence. At longer times, correlation is lost and a standard random walk characterizes the trajectories. Moreover, high-speed imaging enables us to show how the back-and-forth motion of flagella at very short times affects the statistical description of the dynamics. Finally, we show how drag forces modify the characteristics of this particular random walk.
authors.affiliation: Université de Grenoble 1/CNRS, LIPhy UMR 5588, Grenoble F-38041, France.
authors.forename: Michaël
authors.initials: M
authors.lastname: Garcia
authors.forename: Stefano
authors.initials: S
authors.lastname: Berti
authors.forename: Philippe
authors.initials: P
authors.lastname: Peyla
authors.forename: Salima
authors.initials: S
authors.lastname: Rafaï
mesh_terms: D002465:Cell Movement; D016825:Chlamydomonas reinhardtii / Q000166:cytology*; D057446:Hydrodynamics; D011336:Probability; D013269:Stochastic Processes; D013997:Time Factors; D014783:Viscosity