f(α) multifractal spectrum at strong and weak disorder
f(α) multifractal spectrum at strong and weak disorder
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DOI：
10.1103/physrevb.68.024206
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发表时间：
2002-09
影响因子：
3.7
通讯作者：
E. Cuevas
中科院分区：
文献类型：
--
作者：
E. Cuevas
数值研究了多重分形谱f(α)及其奇异性强度对系统尺寸的依赖关系。我们主要研究一维无序系统和二维无序系统，这些无序系统在强无序区和弱无序区都有长程随机跳跃幅度。结果表明，在宏观极限下，在弱无序区，f(α)是抛物线的。另一方面，在强无序的情况下，$f(\保证数学{\α})$强烈偏离抛物性。在我们数值不确定的情况下，发现对抛物线形式的所有修正在耦合强度的某一有限值时消失。
The system size dependence of the multifractal spectrum $f(\ensuremath{\alpha})$ and its singularity strength $\ensuremath{\alpha}$ is investigated numerically. We focus on one-dimensional (1D) and 2D disordered systems with long-range random hopping amplitudes in both the strong and the weak disorder regime. At the macroscopic limit, it is shown that $f(\ensuremath{\alpha})$ is parabolic in the weak disorder regime. In the case of strong disorder, on the other hand, $f(\ensuremath{\alpha})$ strongly deviates from parabolicity. Within our numerical uncertainties it has been found that all corrections to the parabolic form vanish at some finite value of the coupling strength.