论文标题

多色扰动的安德森地图中的动态定位和离域化

Dynamical Localization and Delocalization in Polychromatically Perturbed Anderson Map

论文作者

Yamada, Hiroaki S., Ikeda, Kensuke S.

论文摘要

在上一篇论文[PRE 101,032210(2020)]中,在多色扰动的安德森地图(AM)中的定位和定位现象主要是从定位 - 脑化转变(LDT)的观点阐明的,从而增加了感知强度强度$ε$ε$。在本文中,我们主要研究了现象对疾病强度$ W $($ W- $依赖性)的依赖性,并具有特征性的障碍力量$ W^*$。在完全本地化的区域中,定位长度的$ w-$依赖性和$ε-$依赖性显示出类似于单色扰动的情况下报告的特征行为[97,012210(2018)]。此外,获得的结果表明,即使为了增加$ w $,发现关键现象和关键指数也类似于由$ε$增加而引起的LDT中的关键现象。我们还研究了由参数诱导的离域态的扩散特性。

In the previous paper [PRE 101,032210(2020)], localization and delocalization phenomena in the polychromatically perturbed Anderson map (AM) were elucidated mainly from the viewpoint of localization-delocalization transition (LDT) on the increase of the perturbation strength $ε$. In this paper, we mainly investigate the dependency of the phenomena on the disorder strength $W$ ($W-$dependence) in the AM with a characteristic disorder strength $W^*$. In the completely localized region the $W-$dependence and $ε-$dependence of the localization length show characteristic behavior similar to those reported in monochromatically perturbed case [PRE 97,012210(2018)]. Furthermore, the obtained results show that even for the increase of the $W$, the critical phenomena and critical exponent are found to be similar to those in the LDT caused by the increase of $ε$. We also investigate the diffusive properties of the delocalized states induced by the parameters.

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