The one-dimensional Kardar-Parisi-Zhang equation and its universality class

by Prof. Herbert Spohn (TU Muenchen)

Wednesday 23 Feb 2011, 15:00 → 17:00 Europe/Rome

Aula 5 (Dip. di Fisica - Edificio E. Fermi)

In 1986 Kardar, Parisi, and Zhang proposed a stochastic PDE for the motion of driven interfaces. Bertini and Giacomin (1997) explained how to approximate the solution to the 1D KPZ equation through the weakly asymmetric simple exclusion process. Based on work of Tracy and Widom on the PASEP, we report a formula for the for the one-point generating function of the KPZ equation in case of sharp wedge initial data. Of particular interest are the finite time corrections. This is joint work with Tomohiro Sasamoto.