Discrete breathers and Anderson modes:: two faces of the same phenomenon?

被引：32

作者：

Archilla, JFR

MacKay, RS

Marín, JL

机构：

[1] Fac Comp Sci, Seville 41013, Spain

[2] Univ Cambridge, Dept Appl Math & Theoret Phys, Nonlinear Ctr, Cambridge CB3 9EW, England

[3] Heriot Watt Univ, Dept Math, Edinburgh EH14 4AS, Midlothian, Scotland

来源：

PHYSICA D | 1999年 / 134卷 / 04期

关键词：

discrete breathers; intrinsic localized modes; Anderson localization;

D O I：

10.1016/S0167-2789(99)00131-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Time-periodic localized oscillations occur in a variety of contexts, in particular in weakly coupled anharmonic lattices and in disordered harmonic networks of oscillators, where they are known respectively as discrete breathers and Anderson modes. It is shown numerically in some examples of systems which interpolate between these two limits that discrete breathers can be continued to Anderson modes, module small jumps associated with resonance with Anderson modes on Ether parts of the network. (C) 1999 Elsevier Science B.V. All rights reserved.

引用

页码：406 / 418

页数：13

共 25 条

[1] PERTURBATION-THEORY FOR PERIODIC-ORBITS IN A CLASS OF INFINITE DIMENSIONAL HAMILTONIAN-SYSTEMS
ALBANESE, C
FROHLICH, J
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1991, 138 (01) : 193 - 205
[2] ABSENCE OF DIFFUSION IN CERTAIN RANDOM LATTICES
ANDERSON, PW
[J]. PHYSICAL REVIEW, 1958, 109 (05): : 1492 - 1505
[3] Aubry S, 1998, ANN I H POINCARE-PHY, V68, P381
[4] Breathers in nonlinear lattices: Existence, linear stability and quantization
Aubry, S
[J]. PHYSICA D-NONLINEAR PHENOMENA, 1997, 103 (1-4) : 201 - 250
[5] BOLOTIN S, UNPUB ISOCHRONOUS OS
[6] STABILITY OF STATIONARY SOLUTIONS OF THE DISCRETE SELF-TRAPPING EQUATION
CARR, J
EILBECK, JC
[J]. PHYSICS LETTERS A, 1985, 109 (05) : 201 - 204
[7] UNIVERSAL INSTABILITY OF MANY-DIMENSIONAL OSCILLATOR SYSTEMS
CHIRIKOV, BV
[J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1979, 52 (05): : 263 - 379
[8] THE DISCRETE SELF-TRAPPING EQUATION
EILBECK, JC
LOMDAHL, PS
SCOTT, AC
[J]. PHYSICA D-NONLINEAR PHENOMENA, 1985, 16 (03) : 318 - 338
[9] LOCALIZATION OF VIBRATIONAL-ENERGY IN GLOBULAR PROTEIN
FEDDERSEN, H
[J]. PHYSICS LETTERS A, 1991, 154 (7-8) : 391 - 395
[10] Discrete breathers
Flach, S
Willis, CR
[J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1998, 295 (05): : 181 - 264

← 1 2 3 →