Skewness in (1+1)-dimensional Kardar-Parisi-Zhang-type growth

被引：9
|
作者：
Singha, Tapas [1 ]
Nandy, Malay K. [1 ]
机构：
[1] Indian Inst Technol Guwahati, Dept Phys, Gauhati 781039, India
来源：
PHYSICAL REVIEW E | 2014年 / 90卷 / 06期
关键词：
RENORMALIZATION-GROUP ANALYSIS; DIRECTED POLYMERS; GROWING INTERFACES; BALLISTIC DEPOSITION; SCALE-INVARIANCE; CRYSTAL-GROWTH; RANDOM-MEDIA; ACTIVE ZONE; EDEN MODEL; SURFACE;
D O I：
10.1103/PhysRevE.90.062402
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
We use the (1 + 1)-dimensional Kardar-Parisi-Zhang equation driven by a Gaussian white noise and employ the dynamic renormalization-group of Yakhot and Orszag without rescaling [ J. Sci. Comput. 1, 3 (1986)]. Hence we calculate the second-and third-order moments of height distribution using the diagrammatic method in the large-scale and long-time limits. The moments so calculated lead to the value S = 0.3237 for the skewness. This value is comparable with numerical and experimental estimates.
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页数：9
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