FRACTAL SPECTRUM AND ANOMALOUS DIFFUSION IN THE KICKED HARPER MODEL

被引：75

作者：

ARTUSO, R

CASATI, G

SHEPELYANSKY, D

机构：

[1] NATL INST NUCL PHYS,MILAN,ITALY

[2] IST NAZL FIS NUCL,I-22100 COMO,ITALY

[3] UNIV TOULOUSE 3,PHYS QUANT LAB,F-31062 TOULOUSE,FRANCE

[4] UNIV COMO,DIPARTIMENTO FIS,I-22100 COMO,ITALY

来源：

PHYSICAL REVIEW LETTERS | 1992年 / 68卷 / 26期

关键词：

D O I：

10.1103/PhysRevLett.68.3826

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider a kicked system on the cylinder obtained upon quantization of a chaotic area-preserving map. We use the thermodynamic formalism to investigate the scaling properties of the fractal spectrum. In time evolution we observe anomalous diffusion with an exponent closely related to the Hausdorff dimension of the spectrum, and dependent upon the parameters of the system.

引用

页码：3826 / 3829

页数：4

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[11] EVOLUTION AND EXACT EIGENSTATES OF A RESONANT QUANTUM SYSTEM [J].