Shape Fluctuations of Growing Droplets and Random Matrix Theory

ANALYSIS/MATHEMATICAL PHYSICS SEMINAR
Topic:Shape Fluctuations of Growing Droplets and Random Matrix Theory
Speaker:Herbert Spohn
Affiliation:Technical University, Munich
Date:Friday, March 18
Time/Room:11:30am - 12:30pm/S-101

We explain an exact solution of the one-dimensional Kardar-Parisi-Zhang equation with sharp wedge initial data. Physically this solution describes the shape fluctuations of a thin film droplet formed by the stable phase expanding into the unstable phase. In the long time limit our solution converges to the Tracy-Widom distribution of the largest eigenvalue of GUE random matrices.