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UID:7049@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20190510T110000
DTEND;TZID=Europe/Paris:20190510T120000
DTSTAMP:20241120T203406Z
URL:https://www.i2m.univ-amu.fr/evenements/equilibrium-fluctuations-for-th
 e-disordered-harmonic-chain-perturbed-by-an-energy-conserving-noise-mariel
 le-simon/
SUMMARY:Marielle Simon (INRIA Lille): Equilibrium fluctuations for the diso
 rdered harmonic chain perturbed by an energy conserving noise
DESCRIPTION:Marielle Simon: We investigate the macroscopic behavior of the 
 disordered harmonic chain of oscillators\, through energy diffusion. The H
 amiltonian dynamics of the system is perturbed by a degenerate conservativ
 e noise. After rescaling space and time diffusively\, we prove that energy
  fluctuations in equilibrium evolve according to a linear heat equation. T
 he diffusion coefficient is obtained from the non-gradient Varadhan's appr
 oach\, and is equivalently defined through the Green-Kubo formula. Since t
 he perturbation is very degenerate and the symmetric part of the generator
  does not have a spectral gap\, the standard non-gradient method is review
 ed under new perspectives.\n[su_spacer size="10"]\nhttps://hal.inria.fr/ha
 l-01065976v3\n\n[su_spacer size="10"]
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Marielle_Simon.jpg
CATEGORIES:Séminaire,Probabilités
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