University of Cambridge > > Probability > Weakly asymmetric bridges and the KPZ equation

Weakly asymmetric bridges and the KPZ equation

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact Perla Sousi.

Consider N particles evolving according to the simple exclusion process on a linear lattice of 2N sites, with jump rates p_N to the left 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 equilibrium according to the asymmetry p_N – q_N. In particular, for a precise regime of asymmetry, we will see that the fluctuations around the hydrodynamic limit are given by the KPZ equation on the line and restricted to a finite interval of time.

This talk is part of the Probability series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.


© 2006-2023, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity