Spatial correlations of the 1D KPZ surface on a flat substrate

Details Spatial correlations of the 1D KPZ surface on a flat substrate Spatial correlations of the 1D KPZ surface on a flat substrate

2005-04-18

arxiv.org/abs/cond-mat/0504417v1

Physics

Condensed Matter

Statistical Mechanics

11 pages, 2 figures

Scientific paper

10.1088/0305-4470/38/33/L01

We study the spatial correlations of the one-dimensional KPZ surface for the flat initial condition. It is shown that the multi-point joint distribution for the height is given by a Fredholm determinant, with its kernel in the scaling limit explicitly obtained. This may also describe the dynamics of the largest eigenvalue in the GOE Dyson's Brownian motion model. Our analysis is based on a reformulation of the determinantal Green's function for the totally ASEP in terms of a vicious walk problem.

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