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SUMMARY:Gerd Schroeder-Turk\, "Universal hidden order in amorphous cellula
 r geometries"
DTSTART:20260723T120000Z
DTEND:20260723T130000Z
DTSTAMP:20260730T120300Z
UID:indico-event-4003@indico.ijs.si
CONTACT:anze.bozic@ijs.si
DESCRIPTION:Partitioning space into cells with certain extreme geometrical
  properties is a central problem in many fields of science and technology.
  Here we investigate the Quantizer problem\, defined as the optimisation o
 f the moment of inertia of Voronoi cells\, i.e.\, similarly-sized ‘spher
 e-like’ polyhedra that tile space are preferred. We employ Lloyd’s cen
 troidal Voronoi diagram algorithm to solve this problem and find that it c
 onverges to disordered states associated with deep local minima. These sta
 tes are universal in the sense that their structure factors are characteri
 sed by a complete independence of a wide class of initial conditions they 
 evolved from. They moreover exhibit an anomalous suppression of long-wavel
 ength density fluctuations and quickly become effectively hyperuniform. Ou
 r findings warrant the search for novel amorphous hyperuniform phases and 
 cellular materials with unique physical properties.\n\nhttps://indico.ijs.
 si/event/4003/
LOCATION:A/1-106 - Seminarska soba fizike (F5) (Jamova)
URL:https://indico.ijs.si/event/4003/
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