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SUMMARY:Dances with Volvox: Flow-induced bound states in the active two-bo
 dy problem - Austen Bolitho\, DAMTP
DTSTART:20191126T130000Z
DTEND:20191126T140000Z
UID:TALK130870@talks.cam.ac.uk
CONTACT:Etienne Fodor
DESCRIPTION:An exact solution for the dynamics of a pair of sedimenting ac
 tive particles is presented yielding a constant 'pseudo-energy' H. These t
 rajectories form a complete foliation of phase space and are bound when H 
 is negative. The closed orbits wind around the invariant 2-torus with a fr
 equency ratio of 2. Near a plane surface the two body torque destabilizes 
 the bound state. Stability is regained through the addition of a one body 
 torque resulting in a unique bound state. This is shown to be similar to t
 he relaxation of a forced damped pendulum. This theory elucidates the esse
 ntial physics that govern the dancing Volvox minuet state and may be appli
 cable to a wider range of active experiments.
LOCATION:MR11\, CMS
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