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UID:9169@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20260915T143000
DTEND;TZID=Europe/Paris:20260915T153000
DTSTAMP:20260827T084703Z
URL:https://www.i2m.univ-amu.fr/evenements/tba-307/
SUMMARY:Hugo DA CUNHA (Université Lyon 1): Stationary fluctuations for an 
 exclusion process with mass and energy conservation
DESCRIPTION:Hugo DA CUNHA: We study a recently introduced model called Excl
 usion Process with Energy (EPE). In this model\, particles hop between nei
 ghbouring sites of a lattice\, subject to the exclusion constraint that ea
 ch site can contain at most one particle. Besides\, particles carry an int
 eger-valued energy\, which can be exchanged unit by unit between adjacent 
 particles. The dynamics therefore conserves two quantities: mass and energ
 y.\n\nNonlinear Fluctuating Hydrodynamics (NFH) theory reveals that the EP
 E is richer than conventional lattice gases in the sense that a broader va
 riety of universality classes can emerge from the fluctuations of this mod
 el. After applying the NFH framework and describing the resulting classifi
 cation\, we focus on a choice of parameters that makes both normal modes f
 all into the KPZ universality class. We rigorously establish this predicti
 on using a second-order Boltzmann Gibbs principle\, whose proof relies on 
 a spectral-gap estimate and equivalence-of-ensembles for the EPE.\n\n&nbsp
 \;
CATEGORIES:Séminaire,ALEA,Probabilités
LOCATION:I2M Saint-Charles - Salle de séminaire\, Université Aix-Marseill
 e\, Campus Saint-Charles\, 3 Place Victor Hugo\, Marseille\, 13003\, Franc
 e
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Université Aix-Marseille\,
  Campus Saint-Charles\, 3 Place Victor Hugo\, Marseille\, 13003\, France;X
 -APPLE-RADIUS=100;X-TITLE=I2M Saint-Charles - Salle de séminaire:geo:0,0
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DTSTART:20260329T030000
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