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BEGIN:VEVENT
UID:0-886@lptms.universite-paris-saclay.fr
DTSTART:20230925T160000Z
DTEND:20230925T160000Z
DTSTAMP:20230901T095309Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/soutenance-de-the
se-ana-flack/
SUMMARY:Soutenance de thèse : Ana Flack - Petit amphi\, bâtiment Pascal n
° 530 - 25 Sep 23 16:00
DESCRIPTION:Statistics of particles with long-ranged pairwise interactions\
nIn this thesis\, we investigate the equilibrium and dynamical properties
of charged particles in one dimension interacting via long-range interacti
ons. First\, we focus on the equilibrium one-dimensional one-component pla
sma (1dOCP)\, also known as the jellium model. It consists of $N$ harmonic
ally confined charges on a line interacting via pairwise repulsive Coulomb
interactions. First\, we introduce some well-known equilibrium properties
of the model. Then we present the Coulomb gas method\, which we later use
to analyze the behavior of large deviations of different observables in t
he limit of a large number of particles. We find the large deviation form
for the general full linear statistics\, and we derive the exact formula f
or its variance. We continue by computing typical as well as large deviati
ons of the gap between two middle particles. We also analyze typical and a
typical fluctuations of the number of particles inside of a symmetric inte
rval that is in the bulk of the system. The last equilibrium observable th
at we study is the truncated linear statistics\, which describes the sum o
f the positions of the $N'$ rightmost particles. In the last chapter\, we
investigate the Langevin dynamics of the jellium model without the confini
ng potential. We find that\, for large times\, there exists a corresponden
ce between the dynamical system and the equilibrium 1dOCP. We use this con
nection to study fluctuations of the particle positions in the dynamical s
ystem.\n\n \;\n\nJury : Ada Altieri\, Fabio Cunden (rapporteur)\, Davi
d Dean\, Satya Majumdar (co-directeur de thèse)\, Sergei Nechaev (co-dire
cteur de thèse)\, Grégory Schehr (invité)\, Gabriel Tellez (rapporteur)
\, Christophe Texier.
CATEGORIES:seminars
LOCATION:Petit amphi\, bâtiment Pascal n° 530\, rue André Rivière\, Ors
ay\, 91405\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=rue André Rivière\, Orsay
\, 91405\, France;X-APPLE-RADIUS=100;X-TITLE=Petit amphi\, bâtiment Pasca
l n° 530:geo:0,0
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