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SUMMARY:Optimal transport of a Brownian particle through a medium with mem
 ory effects - Sarah A.M. Loos (University of Cambridge)
DTSTART:20231110T090000Z
DTEND:20231110T093000Z
UID:TALK207508@talks.cam.ac.uk
DESCRIPTION:We consider the control problem of moving a harmonic trap cont
 aining a Brownian particle (as a load) over a given distance in a given ti
 me\, with the goal of spending as little work as possible. For viscous med
 ia\, it is well established that the optimal protocol involves a sudden ju
 mp at the beginning and end\, and is linear in time in between [1]. Howeve
 r\, in various real-world scenarios\, such as subcellular transport proces
 ses\, the assumption of a purely memoryless medium is not justified. We sh
 ow that memory effects in the environment lead to significantly different 
 optimal strategies where the trap velocity needs to be continuously modula
 ted [2]. Surprisingly\, we find that in all linear media optimal solutions
  nevertheless possess a universal symmetry\, independent of the memory pro
 perties of the environment. We present experimental evidence for our findi
 ngs using a colloidal particle dragged by an optimal trap through viscous 
 and viscoelastic fluids.\n[1] T Schmiedl and U Seifert\, PRL 98\, 108301\,
  (2007).\n[2] S AM Loos\, S Monter\, F Ginot\, C Bechinger\, in preparatio
 n.
LOCATION:Seminar Room 1\, Newton Institute
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