Exact Solution for the Stationary Kardar-Parisi-Zhang Equation

被引：109

作者：

Imamura, Takashi ^{[1
]}

Sasamoto, Tomohiro ^{[2
]}

机构：

[1] Univ Tokyo, Adv Sci & Technol Res Ctr, Meguro Ku, Tokyo 1538904, Japan

[2] Chiba Univ, Dept Math & Informat, Inage Ku, Chiba 2638522, Japan

来源：

PHYSICAL REVIEW LETTERS | 2012年 / 108卷 / 19期

关键词：

SIMPLE EXCLUSION PROCESS; GROWING INTERFACES; SCALING FUNCTIONS; INITIAL CONDITION; RANDOM MATRICES; 1+1 DIMENSIONS; BETHE-ANSATZ; FREE-ENERGY; KPZ; DISTRIBUTIONS;

D O I：

10.1103/PhysRevLett.108.190603

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We obtain the first exact solution for the stationary one-dimensional Kardar-Parisi-Zhang equation. A formula for the distribution of the height is given in terms of a Fredholm determinant, which is valid for any finite time t. The expression is explicit and compact enough so that it can be evaluated numerically. Furthermore, by extending the same scheme, we find an exact formula for the stationary two-point correlation function.

引用

页数：5

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