Thursday, September 26, 2019 - 10:00 in X-E0-002
Shock fluctuations in asymmetric exclusion: The KPZ regime
A talk in the Keine Reihe series by
Peter Nejjar from IST Austria
| Abstract: |
The asymmetric simple exclusion process (ASEP) is an interacting particle system which belongs to the Kardar-Parisi-Zhang (KPZ) universality class of random growth models.
Models in this class are believed to share a common large time behavior characterized by probability distributions from random matrix theory.
Here we consider ASEP with a discontinuity (shock) in the macroscopic density, and show that at the shock a product of two Tracy-Widom distributions from the Gaussian unitary ensemble arises.
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