摘要
采用Hentschel-Family直接标度分析方法,分析了d+1维Kardar-Parisi-Zhang(KPZ)方程的动力学标度奇异性质.通过对局域倾斜度涨落的时间标度行为的研究,得到了奇异标度指数κ的表达式.结果表明:无论是在强耦合区域还是在弱耦合区域,d+1维KPZ方程均遵从自仿射的Family-Vicsek正常标度的性质.
The anomalous dynamic scaling of d + 1 Kardar-Parisi-Zhang(KPZ) equation was studied based on the scaling method introduced by Hentschel and Family. The anomalous scaling exponent k was obtained by studying the time scaling behavior of the fluctuations of the local derivative. The results show that the d + 1 KPZ equation, both in the weak-coupling and strong-coupling region, exhibits a standard self-affine Family-Vicsek scaling.
出处
《中国矿业大学学报》
EI
CAS
CSCD
北大核心
2006年第5期695-698,共4页
Journal of China University of Mining & Technology
关键词
表面粗化生长
动力学标度
直接标度分析
KPZ方程
surface rough growth
dynamic scaling
scaling analysis
the Kardar-Parisi-Zhang equation