Shape Fluctuations of Growing Droplets and Random Matrix Theory
Herbert Spohn
Technical University, Munich
March 18, 2011 - 11:30pm
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.
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