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UID:8057@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20150602T100000
DTEND;TZID=Europe/Paris:20150602T110000
DTSTAMP:20241120T210009Z
URL:https://www.i2m.univ-amu.fr/evenements/a-mean-field-model-for-disorder
 ed-crystals/
SUMMARY: (...): A mean-field model for disordered crystals
DESCRIPTION:: In this talk\, we consider disordered quantum crystals in the
  reduced Hartree-Fock (rHF) framework. The nuclei are supposed to be class
 ical particles arrangedaround a reference periodic configuration. We first
  study crystals with extended defects\, such as dislocations or doping in 
 semi-conductors\, with nuclear density$\\mu = \\mu_{per} + \nu$where $\\mu
 _{per}$ is a periodic nuclear distribution corresponding to the background
 perfect crystal and $\nu$ represents the defect. We next consider a family
  of nucleardistributions $\\mu(\\omega\, \\cdot)$\, where $\\omega$ spans 
 a probability space $\\Omega$. Under some assumptionson the nuclear distri
 bution $\\mu$\, we prove the existence of an electronicground state $\\gam
 ma$\, solution of the rHF equations with short-range Yukawa interaction fo
 r both types of systems. We obtain partial results for Coulombinteracting 
 systems. We also consider the case of crystals with a low concentrationof 
 random defects.[https://www.rocq.inria.fr/matherials/spip.php?rubrique170]
CATEGORIES:Séminaire,Analyse Appliquée
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DTSTART:20150329T030000
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