Kurtosis of height fluctuations in (1+1) dimensional KPZ dynamics

被引:6
作者
Singha, Tapas [1 ]
Nandy, Malay K. [1 ]
机构
[1] Indian Inst Technol Guwahati, Dept Phys, Gauhati 781039, India
关键词
kinetic roughening (theory); self-affine roughness (theory); dynamical processes (theory); stochastic processes (theory); RENORMALIZATION-GROUP ANALYSIS; DIRECTED POLYMERS; BALLISTIC DEPOSITION; SCALING FUNCTIONS; INTERFACE GROWTH; SURFACE GROWTH; CRYSTAL-GROWTH; RANDOM-MEDIA; ACTIVE ZONE; EDEN MODEL;
D O I
10.1088/1742-5468/2015/05/P05020
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
We study the fourth order normalized cumulant of height fluctuations governed by 1 + 1 dimensional Kardar-Parisi-Zhang (KPZ) equation for a growing surface. Following a diagrammatic renormalization scheme, we evaluate the kurtosis Q from the connected diagrams leading to the value Q = 0.1523 in the large-scale long-time limit.
引用
收藏
页数:11
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