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SUMMARY:Irreversibility and active matter: from microscopic models to fiel
 d theories - Jeremy O'byrne\, DAMTP
DTSTART:20220426T120000Z
DTEND:20220426T130000Z
UID:TALK167615@talks.cam.ac.uk
CONTACT:Camille Scalliet
DESCRIPTION:Active matter is made out of elementary agents that are able t
 o transform energy from their environment to self-propel. This self-propul
 sion drives an active system far from equilibrium at the microscopic scale
 \, which\, in turn\, can make its study quite challenging.\nHowever\, coar
 se-graining the dynamics of large assemblies of active particles can somet
 imes restore an effective\, large-scale\, time-reversal symmetry. Active s
 ystems demonstrating such property can then be analyzed (and controlled) w
 ith the toolbox of equilibrium statistical mechanics.\nTo characterize suc
 h systems\, one can introduce a generalization of the curl operator to fun
 ctional spaces\, called the functional exterior derivative. When the appli
 cation of this operator to the stochastic hydrodynamics of the system vani
 shes\, this means that this system is (macroscopically) time-reversible. W
 hen it is not the case\, this operator reveals the structure of the probab
 ility currents (which live in an abstract functional space) associated to 
 the system\, as well as the manifestation of these currents in the real\, 
 physical space. The functional exterior derivative thus constitutes an imp
 ortant tool to study irreversibility of stochastic field theories\, and it
 s range of applicability goes actually far beyond the realm of active matt
 er.
LOCATION:Center for Mathematical Sciences\, Lecture room MR4
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