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TZID:Europe/Paris
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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&nbsp\;\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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