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SUMMARY:Nonequilibrium steady state for harmonically-confined active parti
 cles - Naftali R. Smith\, Ben-Gurion University of the Negev\, Israel
DTSTART:20221122T130000Z
DTEND:20221122T140000Z
UID:TALK178877@talks.cam.ac.uk
CONTACT:Camille Scalliet
DESCRIPTION:Zoom link: https://zoom.us/j/98016675669\n\nActive particles c
 onsume energy from their environment and turn it into directed motion\, le
 ading to remarkable non-equilibrium effects. In this talk I will mostly fo
 cus on the run-and-tumble particle (RTP) model\, which mimics the persiste
 nt motion of bacteria such as E. Coli. I will present recent results for t
 he nonequilibirum steady state that a single RTP reaches when confined by 
 an external harmonic potential.\nIn the first part of the talk\, I will pr
 esent the exact steady state distribution of the position of a particular 
 type of overdamped RTP in two dimensions\, whose orientation can take one 
 of four possible values. What enables the exact solution is that\, in a pr
 oper choice of coordinates\, the problem decomposes into two decoupled one
 -dimensional problems.\nIn the second part of the talk\, I will go beyond 
 the overdamped regime\, and focus on the limit in which the RTP switches i
 ts orientation very fast. I will first recall that typical fluctuations of
  its position obey a Boltzmann distribution with an effective temperature 
 that can be found exactly. Next\, I will consider the large deviations reg
 ime which is not described by a Boltzmann distribution\, and is instead do
 minated by a single\, most likely trajectory in a coarse-grained dynamical
  description of the system.\n\nThe talk is based on the two recent papers:
 \nN. R. Smith\, P. Le Doussal\, S. N. Majumdar\, G. Schehr\, arXiv:2207.10
 445\nN. R. Smith\, O. Farago\, arXiv:2208.06848
LOCATION:Center for Mathematical Sciences\, Lecture room MR4 or https://zo
 om.us/j/98016675669
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