摘要
通过对含有不均匀生长项的KPZ方程进行动力学重整化群分析 ,研究了幂函数不均匀生长对KPZ方程标度行为的影响 .在实际的晶体生长过程中 ,生长率的不均一可以由表面杂质和缺陷引起 .研究表明 ,生长率不均匀性的存在 ,能显著地改变KPZ方程的标度性质 ,粗糙度指数z和动力学指数都与基底的维数d和幂指数 (ε +1)有关 .
The effect of power law growth inhomogeneities on the scaling of the KPZ equation is studied by applying a dynamic renormalization group approach to the generalized KPZ equation with a growth inhomogeneity term. In a practical crystal growth process, these growth inhomogeneities can be induced by surface impurities and defects. In this paper, these growth inhomogeneities are modelled by power law function. The results show that the existence of these inhomogeneities can significantly change the dynamic scaling properties of KPZ equation and that the roughness and dynamic exponents are relevant to both the substrate dimensionality d and the power exponent (ε+1) .
出处
《北京师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2001年第3期338-343,共6页
Journal of Beijing Normal University(Natural Science)
基金
教育部博士点基金资助项目 (96 0 0 2 70 3)
