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.

引用

页数：9

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