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TZID:Europe/Paris
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BEGIN:VEVENT
UID:1-445@lptms.universite-paris-saclay.fr
DTSTART:20160524T110000Z
DTEND:20160524T120000Z
DTSTAMP:20160517T123805Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/seminaire-du-lptm
 s-gregory-schehr/
SUMMARY:Séminaire du LPTMS: Grégory Schehr - LPTMS\, salle 201\, 2ème é
 tage\, Bât 100\, Campus d'Orsay - 24 Mai 16 11:00
DESCRIPTION:Finite temperature free fermions and the Kardar-Parisi-Zhang eq
 uation at finite time\nGrégory Schehr (LPTMS\, Université Paris-Sud)\nI 
 will consider a system of N one-dimensional free fermions confined by a ha
 rmonic well. At zero temperature (T=0)\, it is well known that this system
  is intimately connected to random matrices belonging to the Gaussian Unit
 ary Ensemble. In particular\, the density of fermions has\, for large N\, 
 a finite support and it is given by the Wigner semi-circular law. Besides\
 , close to the edges of the support\, the quantum fluctuations are describ
 ed by the so-called Airy-Kernel (which plays an important role in random m
 atrix theory). What happens at finite temperature T ? I will show that at 
 finite but low temperature\, the fluctuations close to the edge\, are desc
 ribed by a generalization of the Airy kernel\, which depends continuously 
 on temperature. Remarkably\, exactly the same kernel arises in the exact s
 olution of the Kardar-Parisi-Zhang (KPZ) equation in 1+1 dimensions at fin
 ite time. I will also discuss recent results for fermions in higher dimens
 ions.\n\n&nbsp\;\n\n&nbsp\;
CATEGORIES:seminars
LOCATION:LPTMS\, salle 201\, 2ème étage\, Bât 100\, Campus d'Orsay\, 15 
 Rue Georges Clemenceau\, Orsay\, 91405\, France
GEO:48.698185;2.181768
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=15 Rue Georges Clemenceau\,
  Orsay\, 91405\, France;X-APPLE-RADIUS=100;X-TITLE=LPTMS\, salle 201\, 2è
 me étage\, Bât 100\, Campus d'Orsay:geo:48.698185,2.181768
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