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MP: Theoretische und Mathematische Grundlagen der Physik

MP 8: Statistische Mechanik 2

MP 8.2: Talk

Tuesday, March 21, 2000, 14:45–15:00, W A317

Universal Distributions for Growth Processes and Random Matrices — •Michael Prähofer and Herbert Spohn — Zentrum Mathematik und Physik Department, TU München, 80290 München

We determine the height fluctuations in the one-dimensional polynuclear growth model by a mapping to longest increasing subsequences in random permutations. Their length is distributed as the largest eigenvalue of a Gaussian random matrix. Depending on the ensemble chosen we identify three universal distributions characterizing the fundamental modes of selfsimilar stochastic surface growth in one dimension [M. Prähofer, H. Spohn, cond-mat/9910273].