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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:TALK174539@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:Most attempts to understand the behavior of active matter mode
 ls from a mathematical standpoint have been focused on some form of mean f
 ield interactions between particles\, meaning that the interaction of each
  individual particle with the system is averaged out over a large number o
 f its neighbors. In this talk\, I will share a few attempts to model activ
 e matter by lattice gases of particles interacting at a microscopic level.
  I will talk about the mathematical challenges involved in studying such m
 icroscopic models. I will also present results in (finished and ongoing) w
 ork with T. Bodineau\, M. Kourbane-Houssène and J. Tailleur\, 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 exclusion processes and
  zero-range processes.\n
LOCATION:MR2
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