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SUMMARY:Current fluctuations in an active system - Tirthankar Banerjee (DA
 MTP)
DTSTART:20201027T130000Z
DTEND:20201027T140000Z
UID:TALK152536@talks.cam.ac.uk
CONTACT:Patrick Pietzonka
DESCRIPTION:Zoom link: https://maths-cam-ac-uk.zoom.us/j/94018037756\n\nWe
  will discuss a general framework to study the distribution of the flux th
 rough the origin up to time t\, in a non-interacting one-dimensional syste
 m of particles with a step initial condition with a fixed density of parti
 cles to the left of the origin. We will focus principally on two cases: (i
 ) when the particles undergo diffusive dynamics (passive case) and (ii) ru
 n-and-tumble dynamics for each particle (active case). In analogy with dis
 ordered systems\, we will consider the flux distribution both for the anne
 aled and the quenched initial conditions\, for the passive and active part
 icles. In the annealed case\, we will show that\, for arbitrary particle d
 ynamics\, the flux distribution is a Poissonian with a mean that can be co
 mputed  exactly in terms of the Green's function of the single particle dy
 namics. For the quenched case\, we will show that\, for the run-and-tumble
  dynamics\, the quenched flux distribution takes an anomalous large deviat
 ion form at large times with a non-trivial large deviation function.
LOCATION:via zoom\, meeting ID 940-1803-7756
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