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

被引：173

作者：

Sasamoto, T ^{[1
]}

机构：

[1] Tokyo Inst Technol, Dept Phys, Meguro Ku, Tokyo 1528551, Japan

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2005年 / 38卷 / 33期

关键词：

D O I：

10.1088/0305-4470/38/33/L01

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：L549 / L556

页数：8

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