ENERGY DYNAMICS IN A ONE-DIMENSIONAL APERIODIC ANHARMONIC LATTICE

被引:4
作者
Dos Santos, C. A. A. [1 ]
Assuncao, T. F. [1 ]
Lyra, M. L. [1 ]
De Moura, F. A. B. F. [1 ]
机构
[1] Univ Fed Alagoas, Inst Fis, BR-57072970 Maceio, AL, Brazil
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS C | 2012年 / 23卷 / 08期
关键词
Nonlinearity; localization; solitons; HEAT-CONDUCTION; LOCALIZATION; TRANSPORT; VIBRATIONS; MODES;
D O I
10.1142/S0129183112400098
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We study the nature of collective excitations in classical anharmonic lattices with aperiodic and pseudo-random harmonic spring constants. The aperiodicity was introduced in the harmonic potential by using a sinusoidal function whose phase varies as a power-law, phi proportional to n(nu), where n labels the positions along the chain. In the absence of anharmonicity, we numerically demonstrate the existence of extended states and energy propagation for a sufficiently large degree of aperiodicity. Calculations were done by using the transfer matrix formalism (TMF), exact diagonalization and numerical solution of the Hamilton's equations. When nonlinearity is switched on, we numerically obtain a rich framework involving stable and unstable solitons.
引用
收藏
页数:11
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