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SUMMARY:Diffusion of active and passive tracers in crowded environments: i
 nsights from lattice gas models - Pierre Illien\, Sorbonne Universite CNRS
DTSTART:20220614T120000Z
DTEND:20220614T130000Z
UID:TALK173111@talks.cam.ac.uk
CONTACT:Camille Scalliet
DESCRIPTION:Exceptional venue: MR13\n\nIn many situations of physical or b
 iological interest\, one encounters the situation where a tracer particle 
 diffuses in a crowded environment. This is exemplified by the diffusion of
  active macromolecules or organelles in the intracellular medium\, or by m
 icrorheology experiments. In those situations\, the interactions between t
 he tracer particle and its environment give rise to correlations which con
 trol the dynamics of the tracer\, and whose determination is generally a m
 ajor challenge. Among the different theoretical strategies that were emplo
 yed to describe tracer diffusion in crowded environments\, the study of ha
 rdcore lattice gases has been particularly fruitful. These models\, which 
 are also called exclusion processes\, have progressively become central in
  nonequilibrium statistical mechanics.\n\nI will first present results on 
 the diffusion coefficient of an active tracer on a 2D lattice. Starting fr
 om the master equation of the problem\, we put forward a closure approxima
 tion which is accurate for a very wide range of parameters\, and that corr
 ectly captures different nonequilibrium effects\, which are the signature 
 of the activity in the system. I will then focus on the particular case of
  the one-dimensional geometry. This situation is often referred to as "sin
 gle-file transport"\, and is a fundamental model for the tracer subdiffusi
 on observed experimentally in confined systems. I will present a number of
  exact results on the statistics of the position of a passive tracer and o
 n the correlations between the tracer and its environment.
LOCATION:Center for Mathematical Sciences\, Lecture room MR13
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