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DTSTART:19700329T010000
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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:The spherical model with two external charges. - A
rno Kuijlaars (KU Leuven\; KU Leuven)
DTSTART;TZID=Europe/London:20190910T113000
DTEND;TZID=Europe/London:20190910T123000
UID:TALK129325AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/129325
DESCRIPTION:I will discuss a model from electrostatics where N
charged
particles with charge 1/N distribute
themselves over the unit sphere
in the presen
ce of a finite number of fixed charges. In the
large N limit the particles concentrate on a part
of the sphere
with uniform density. This is t
he droplet.
After stereographic projecti
on\, this model is analyzed
in the complex pla
ne with tools from logarithmic potential theory. For the case of two equal charges we compute a
mother body\, which
is then used to determine
the droplet explicitly.
This is joint wor
k Juan Criado del Rey.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:INI IT
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