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SUMMARY:Dragging with minimum effort - Optimal control protocols for parti
 cles with self-propulsion and memory - Sarah A.M. Loos (University of Camb
 ridge)
DTSTART:20241004T104500Z
DTEND:20241004T111500Z
UID:TALK220951@talks.cam.ac.uk
DESCRIPTION:Dragging a harmonic trap containing a single particle over a g
 iven distance in finite time is an elementary problem arising in experimen
 ts\, theory and engineering applications. For a passive particle in a visc
 ous medium\, it is known that the optimal dragging protocol requiring the 
 least amount of work has two symmetric jumps at the beginning and end. We 
 show analytically\, and confirm experimentally with light-trapped colloids
  in viscoelastic fluids [1]\, that time-reversal symmetry is an inherent p
 roperty of this control problem. This symmetry holds universally for all t
 ypes of media describable by a linear generalised Langevin equation\, inde
 pendent of the properties of the memory kernel and the coloured noise\, in
 cluding glassy\, granular and active media. We further show that the optim
 al protocols for active particles are the same as for passive particles\, 
 while the work fluctuations are always increased [2].&nbsp\;\n[1] Loos\, M
 onter\, Ginot\, Bechinger\, Phys. Rev. X 14\, 021032 (2024).[2] Garcia-Mil
 lan*\, Sch&uuml\;ttler*\, Cates\, Loos\, ArXiv:2407.18542 (2024).
LOCATION:Seminar Room 1\, Newton Institute
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