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SUMMARY:Weakly asymmetric bridges and the KPZ equation - Cyril Labbé (Par
 is-Dauphine)
DTSTART:20151117T163000Z
DTEND:20151117T173000Z
UID:TALK62469@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:Consider N particles evolving according to the simple exclusio
 n process on a linear lattice of 2N sites\, with jump rates p_N to the lef
 t and q_N to the right. We do not impose periodic boundary conditions (no 
 flux at 1 and 2N). I will present a complete classification of the scaling
  limits of the static\, dynamic at equilibrium and dynamic out of equilibr
 ium according to the asymmetry p_N - q_N. In particular\, for a precise re
 gime of asymmetry\, we will see that the fluctuations around the hydrodyna
 mic limit are given by the KPZ equation on the line and restricted to a fi
 nite interval of time.
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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