The 1+1-dimensional Kardar-Parisi-Zhang equation and its universality class

被引：58
|
作者：
Sasamoto, Tomohiro [1 ]
Spohn, Herbert [2 ,3 ]
机构：
[1] Chiba Univ, Chiba, Japan
[2] Tech Univ Munich, Zentrum Math, D-85747 Garching, Germany
[3] Tech Univ Munich, Dept Phys, D-85747 Garching, Germany
来源：
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2010年
关键词：
exact results; kinetic growth processes (theory); stochastic particle dynamics (theory); SIMPLE EXCLUSION PROCESS; DIRECTED POLYMERS; GROWTH-PROCESSES; RANDOM MATRICES; INITIAL CONDITION; SURFACE GROWTH; DISTRIBUTIONS; FLUCTUATIONS; INTERFACES; TASEP;
D O I：
10.1088/1742-5468/2010/11/P11013
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
We explain the exact solution of the 1 + 1-dimensional Kardar-Parisi-Zhang equation with sharp wedge initial conditions. Thereby it is confirmed that the continuum model belongs to the KPZ universality class, not only as regards scaling exponents but also as regards the full probability distribution of the height in the long time limit.
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页数：15
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