关于断裂表面分维估测的研究

本文利用回归分析理论对断裂表面的分维估测方法进行了研究.定量地描述了在双对数坐标系下利用线性回归计算分维的方法的可靠性,并引入了统计自相似度的概念.最后,利用残差分析法对分维估测的回归模型以及异常点问题进行了初步的研究,通过剔除异常点提高了分维估测算法的可靠性和计算结果的精确性.     

Quantum transport through two series Aharonov--Bohm interferometers with zero total magnetic flux

With the help of nonequilibrium Green's function technique, the electronic transport through series Aharonov--Bohm (AB) interferometers is investigated. We obtain the AB interference pattern of the transition probability characterized by the algebraic sum \phi and the difference \theta of two magnetic fluxes, and particularly a general rule of AB oscillation period depending on the ratio of integer quantum numbers of the fluxes. A parity effect is observed, showing the asymmetric AB oscillations with respect to the even and odd quantum numbers of the total flux in antiparallel AB interferometers. It is also shown that the AB flux can shift the Fano resonance peaks of the transmission spectrum.