1+1维Wolf-Villain模型生长表面高度极值统计分布的数值模拟

计算物理 ›› 2011, Vol. 28 ›› Issue (6): 933-941.

1+1维Wolf-Villain模型生长表面高度极值统计分布的数值模拟

温荣吉, 唐刚, 韩奎, 夏辉, 郝大鹏, 寻之朋, 陈玉岭

中国矿业大学理学院物理系, 江苏徐州 221116

收稿日期:2011-01-06 修回日期:2011-05-28 出版日期:2011-11-25 发布日期:2011-11-25
通讯作者: 唐刚,E-mail:gsngtang@curet.edu.cn
作者简介:温荣吉(1985-),male,master of sciences,major in science growth dynamics,E-mail:wenmngjicumt@126.com
基金资助:
Supported by the National Natural Science Foundation of China(10674177);Fundamental Research Funds for Central Universities(2010LKWL01-CUMT)

Extreme Value Statistics of Growth Surfaces in (1+1)-dimensional Wolf-Villain Model

WEN Rongji, TANG Gang, HAN Kui, XIA Hui, HAO Dapeng, XUN Zhipeng, CHEN Yuling

Department of Physics, China University of Mining and Technology, Xuzhou 221116, China

Received:2011-01-06 Revised:2011-05-28 Online:2011-11-25 Published:2011-11-25
Supported by:
Supported by the National Natural Science Foundation of China(10674177);Fundamental Research Funds for Central Universities(2010LKWL01-CUMT)

摘要/Abstract

摘要： 为全面研究Wolf-Villain(WV)模型生长表面的统计性质,基于极值统计理论,模拟计算1+1维WV模型在饱和生长阶段表面的极大高度分布(maximal-height distribution,MAHD)和极小高度分布(minimal-height distribution,MIHD).结果表明,MAHD和MIHD在不同的系统尺寸下分别有较好的标度规律,这两个分布之间存在不对称性.其中,MAHD遵循-种常见的极值分布,即广义的Fisher-Tippett-Gumbel(FTG)型分布;而MIHD可以用-个修正的Fisher-Tippett-Gumbel(MFTG)型分布来描述.

关键词: 极值统计, Wolf-Villain模型, 标度行为

Abstract: In order to study statistical properties of surface fluctuation in a Wolf-Villain(WV) model。maximal-and minimal-heigIlt distributions(MAHD and MIHD) of saturated surfaces in a(1+1)-dimensional WV model are investigated with theory of extreme value statistics.It shows that both MAHD and MIHD csn be fitted well with universal functions of different system sizes.They are asymmetrical.MAHD takes on a generalized Fisher-Tippett-Gumbel(FTG) distribution,a typical extreme value distribution function.MIHD,however,displays a slightly different distribution,a modified FTG distribution.

Key words: extreme value statistics, Wolf-Villain model, scaling behavior

中图分类号:

O469

温荣吉, 唐刚, 韩奎, 夏辉, 郝大鹏, 寻之朋, 陈玉岭. 1+1维Wolf-Villain模型生长表面高度极值统计分布的数值模拟[J]. 计算物理, 2011, 28(6): 933-941.

WEN Rongji, TANG Gang, HAN Kui, XIA Hui, HAO Dapeng, XUN Zhipeng, CHEN Yuling. Extreme Value Statistics of Growth Surfaces in (1+1)-dimensional Wolf-Villain Model[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2011, 28(6): 933-941.

[1]	夏辉, 唐刚, 韩奎, 郝大鹏, 寻之朋. 时间分数阶Edwards-Wilkinson方程的标度行为研究[J]. 计算物理, 2009, 26(3): 449-453.
[2]	寻之朋, 唐刚, 韩奎, 夏辉, 郝大鹏, 周伟, 杨细全. 1+1维Wolf-Villain模型奇异标度行为的数值模拟[J]. 计算物理, 2009, 26(2): 287-292.