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SUMMARY:Modelling active matter by active lattice gases : exact hydrodynam
 ic description and phase transitions - Clément Erignoux  (INRIA)
DTSTART:20230706T153000Z
DTEND:20230706T160000Z
UID:TALK201175@talks.cam.ac.uk
DESCRIPTION:In this talk\, I will introduce a few related microscopic mode
 ls for active matter. The models we consider are lattice gases\, meaning t
 hat the active particles jump stochastically on a lattice. Their active na
 ture is represented by a drift in their stochastic jumps\, whose direction
  can evolve in time as particles interact with eachother. I will discuss h
 ow\, with this type of lattice gases\, one can model the behavior of activ
 e matter\, and recover the emergence of Vicsek's alignment phase transitio
 n as well as Motility Induced Phase Separation (MIPS)\, both classical phe
 nomena for active matter. Both have been well documented by the physics co
 mmunity\, however mathematical results remain scarce. Notably\, using the 
 mathematical theory of hydrodynamic limit\, one can prove the emergence of
  both phenomena mathematically\, even for models with purely local interac
 tions\, without any mean-field type assumptions.\n&nbsp\;\n\nBased on JW w
 ith Mourtaza Kourbane Houss&egrave\;ne\, Julien Tailleur\, Thierry Bodinea
 u\, James Mason\, Maria Bruna\, Robert Jack\n&nbsp\;\n
LOCATION:Seminar Room 1\, Newton Institute
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