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SUMMARY:Manuel Friedrich (University of Erlangen)
DTSTART:20230327T134000Z
DTEND:20230327T151000Z
DTSTAMP:20260405T175325Z
UID:NSCM/106
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NSCM/106/">F
 inite crystallization via stratification</a>\nby Manuel Friedrich (Univers
 ity of Erlangen) as part of Nečas Seminar on Continuum Mechanics\n\nLectu
 re held in Room K3\,  Faculty of Mathematics and Physics\, Charles Univers
 ity\, Sokolovská 83  Prague 8..\n\nAbstract\nIn this talk\, I present a n
 ew technique to prove two-dimensional\ncrystallization results in the squa
 re lattice for finite particle\nsystems. We consider configurational energ
 ies featuring two-body\nshort-ranged particle interactions and three-body 
 angular potentials\nfavoring bond-angles of the square lattice. To each co
 nfiguration\, we\nassociate its bond graph which is then suitably modified
  by identifying\nchains of successive atoms. This method\, called stratifi
 cation\, reduces\nthe crystallization problem to a simple minimization tha
 t corresponds to\na proof via slicing of the isoperimetric inequality in l
 1. Based on\njoint work with Leonard Kreutz.\n
LOCATION:https://researchseminars.org/talk/NSCM/106/
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