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SUMMARY:Scaling limits and macroscopic behavior for stochastic models of a
 ctive matter - Clément Erignoux\, INRIA Lille Nord
DTSTART:20220517T120000Z
DTEND:20220517T133000Z
UID:TALK172163@talks.cam.ac.uk
CONTACT:Camille Scalliet
DESCRIPTION:This talk is a joint seminar between the DAMTP Statistical Phy
 sics and Soft Matter Seminar series and the DPMMS Probability Seminar seri
 es. It will consist of two parts of 40 minutes with an intermission (the f
 irst will focus on the models\, while the second will cover the mathematic
 al techniques).\n\nAbstract: Most attempts to understand the behavior of a
 ctive matter models from a mathematical standpoint have been focused on so
 me form of mean field interactions between particles\, meaning that the in
 teraction of each individual particle with the system is averaged out over
  a large number of its neighbors. In this talk\, I will share a few attemp
 ts to model active matter by lattice gases of particles interacting at a m
 icroscopic level. I will talk about the mathematical challenges involved i
 n studying such microscopic models. I will also present results in (finish
 ed and ongoing) work with T. Bodineau\, M. Kourbane-Houssène and J. Taill
 eur\, in which we show the emergence of two classical phenomena for active
  matter\, namely Motility induced phase separation (MIPS)\, and alignment 
 phase transitions\, based on two types of classical models\, namely exclus
 ion processes and zero-range processes.
LOCATION:Center for Mathematical Sciences\, Lecture room MR2
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