Dances with Volvox: Flow-induced bound states in the active two-body problem
- đ¤ Speaker: Austen Bolitho, DAMTP
- đ Date & Time: Tuesday 26 November 2019, 13:00 - 14:00
- đ Venue: MR11, CMS
Abstract
An exact solution for the dynamics of a pair of sedimenting active particles is presented yielding a constant ‘pseudo-energy’ H. These trajectories 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 frequency 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 the relaxation of a forced damped pendulum. This theory elucidates the essential physics that govern the dancing Volvox minuet state and may be applicable to a wider range of active experiments.
Series This talk is part of the DAMTP Statistical Physics and Soft Matter Seminar series.
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Austen Bolitho, DAMTP
Tuesday 26 November 2019, 13:00-14:00