Universal Distributions for Growth Processes in 1+1 Dimensions and Random Matrices

Details Universal Distributions for Growth Processes in 1+1 Dimensions and Random Matrices Universal Distributions for Growth Processes in 1+1 Dimensions and Random Matrices

1999-12-14

arxiv.org/abs/cond-mat/9912264v3

Phys. Rev. Lett. 84, 4882 (2000)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures, 1 table, RevTeX, revised version, accepted for publication in PRL

Scientific paper

10.1103/PhysRevLett.84.4882

We develop a scaling theory for KPZ growth in one dimension by a detailed
study of the polynuclear growth (PNG) model. In particular, we identify three
universal distributions for shape fluctuations and their dependence on the
macroscopic shape. These distribution functions are computed using the
partition function of Gaussian random matrices in a cosine potential.

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