Vibrational modes in harmonic chains with diluted disorder

被引：24

作者：

Albuquerque, SS ^{[1
]}

de Moura, FABF ^{[1
]}

Lyra, ML ^{[1
]}

机构：

[1] Univ Fed Alagoas, Dept Fis, BR-57072970 Maceio, AL, Brazil

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2005年 / 357卷 / 01期

关键词：

vibrational modes; localization; anomalous diffusion;

D O I：

10.1016/j.physa.2005.05.059

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the nature of collective excitations in harmonic chains with diluted disorder. Using a transfer matrix method, we compute the localization length of eigenmodes within the band of allowed energies in order to investigate the new extended states which appear in this model. To follow the time evolution of an initially localized energy input, we calculate the second moment M-2(t) of the energy spatial distribution. We found that for an impulse initial excitation, the super-diffusive energy spread is not affected by the presence of new resonant modes. However, the energy spread becomes faster for a displacement excitation. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：165 / 172

页数：8

共 29 条

[1] SCALING THEORY OF LOCALIZATION - ABSENCE OF QUANTUM DIFFUSION IN 2 DIMENSIONS [J].

ABRAHAMS, E ;

ANDERSON, PW ;

LICCIARDELLO, DC ;

RAMAKRISHNAN, TV .

PHYSICAL REVIEW LETTERS, 1979, 42 (10) :673-676

[2] NONSCATTERED STATES IN A RANDOM-DIMER MODEL [J].

DATTA, PK ;

GIRI, D ;

KUNDU, K .

PHYSICAL REVIEW B, 1993, 47 (16) :10727-10737

[3] THE ABSENCE OF LOCALIZATION IN ONE-DIMENSIONAL DISORDERED HARMONIC CHAINS [J].

DATTA, PK ;

KUNDU, K .

JOURNAL OF PHYSICS-CONDENSED MATTER, 1994, 6 (24) :4465-4478

[4] ENERGY-TRANSPORT ONE-DIMENSIONAL HARMONIC CHAINS [J].

DATTA, PK ;

KUNDU, K .

PHYSICAL REVIEW B, 1995, 51 (10) :6287-6295

[5] Delocalization and wave-packet dynamics in one-dimensional diluted Anderson models [J].

de Moura, FABF ;

Santos, MNB ;

Fulco, UL ;

Lyra, ML ;

Lazo, E ;

Onell, ME .

EUROPEAN PHYSICAL JOURNAL B, 2003, 36 (01) :81-86

[6] Delocalization and spin-wave dynamics in ferromagnetic chains with long-range correlated random exchange [J].

de Moura, FABF ;

Coutinho, MD ;

Raposo, EP ;

Lyra, ML .

PHYSICAL REVIEW B, 2002, 66 (01) :144181-144185

[7] VIBRATIONS OF GLASS-LIKE DISORDERED CHAINS [J].

DEAN, P .

PROCEEDINGS OF THE PHYSICAL SOCIETY OF LONDON, 1964, 84 (5415) :727-&

[8] VIBRATIONAL PROPERTIES OF DISORDERED SYSTEMS - NUMERICAL STUDIES [J].

DEAN, P .

REVIEWS OF MODERN PHYSICS, 1972, 44 (02) :127-+

[9]

Dhar A, 2001, PHYS REV LETT, V86, P5882, DOI 10.1103/PhysRevLett86.5882

[10] Comment on "simple one-dimensional model of heat conduction which obeys Fourier's law" [J].

Dhar, A .

PHYSICAL REVIEW LETTERS, 2002, 88 (24) :1-249402

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