2012/06/05 by Vladimir A. Vladimirov, Vladimirov, Vladimir A.
Physics and Astronomy · #76D07 #Biological Physics (physics.bio-ph) #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #cond-mat.mes-hall #msc:76D07 #physics.bio-ph #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.1206.0890
10 pages
arxiv created 2012/06/05 · arxiv updated 2012/06/06
The aim of this paper is to derive an analytical expression for the self-propulsion velocity of a micro-swimmer that consists of N spheres moving along a fixed line. The spheres are linked to each other by the rods of the prescribed lengths changing periodically. For the derivation we use the asymptotic procedure containing the two-timing method and a distinguished limit. Our final formula shows that in the main approximation the self-propulsion velocity is determined by the interactions between all possible triplets of spheres.