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SUMMARY:Where to dig for gold? Simple ‘tricks’ to help look for new un
 iversality classes - Chiu Fan Lee\, Imperial College London
DTSTART:20241112T130000Z
DTEND:20241112T140000Z
UID:TALK222934@talks.cam.ac.uk
CONTACT:Tal Agranov
DESCRIPTION:Like categorising atoms into distinct elements by their atomic
  numbers in the periodic table\, one can categorise dynamical systems into
  distinct universality classes (UCs) by their symmetries and conservation 
 laws. The similarity continues: just like common elements making up most o
 f the materials around us\, some common UCs can govern the behaviour of ma
 ny systems that we encounter every day. For example\, the Kardar-Parisi-Zh
 ang UC dictates the scaling behaviour of diverse systems across scales\, f
 rom nonequilibrium Bose-Einstein condensates to incompressible migratory c
 ell tissues. In this talk\, I will describe simple tricks that will help u
 s identify potentially new UCs. These tricks are simple because they only 
 require undergraduate level mathematics to understand. Specifically\, thes
 e tricks are mean-field\, linear stability\, linear fluctuating hydrodynam
 ics\, and power counter (or zeroth order renormalization group) analyses.\
 n\n
LOCATION:Center for Mathematical Sciences\, Lecture room MR4
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