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SUMMARY:Non-equilibrium fluctuations for the slow boundary symmetric exclu
 sion - Patricia Gonçalves (Instituto Superior Técnico\, Lisboa)
DTSTART:20181022T133000Z
DTEND:20181022T143000Z
UID:TALK112672@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:In this talk\, I will present the symmetric simple exclusion p
 rocess in contact with slow stochastic reservoirs which are regulated by a
  factor $n^{-	heta}$\, $	hetageq 0$. I will review the hydrodynamic limit 
 and the goal of my talk is to present the non-equilibrium fluctuations for
  this model. Depending on the range of the parameter $	heta$ we obtain pro
 cesses with various boundary conditions. As a consequence of the previous 
 result together with an application of the matrix ansatz method - which gi
 ves us information on the stationary measure for the model - we deduce the
  non-equilibrium stationary fluctuations. The main ingredient to prove the
 se results is the derivation of precise bounds on the two-point space-time
  correlation functions.
LOCATION:Seminar Room 1\, Newton Institute
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