Discrete Breathers and Delocalization in Nonlinear Disordered Systems
- 10 April 2000
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 84 (15) , 3236-3239
- https://doi.org/10.1103/physrevlett.84.3236
Abstract
We find exact localized time-periodic solutions with frequencies inside the linearized spectrum [intraband discrete breathers (IDBs)] in random nonlinear models using a new self-consistent method. The IDB frequencies belong to intervals between forbidden gaps generated by resonances with the linear modes, becoming fat Cantor sets in infinite systems. When localized IDBs are continued versus frequency, they delocalize and become multisite IDBs (not predicted by existing theorems), which can propagate energy. Some implications for energy relaxation in glasses are discussed.Keywords
This publication has 11 references indexed in Scilit:
- Introduction to Wave Scattering, Localization and Mesoscopic PhenomenaPublished by Springer Nature ,2006
- Discrete breathersPhysics Reports, 1998
- Slow Relaxation Phenomena Induced by Breathers in Nonlinear LatticesPhysical Review Letters, 1996
- Localization and electron-phonon interactions in disordered systemsEurophysics Letters, 1996
- Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillatorsNonlinearity, 1994
- Propagation and scattering of nonlinear waves in disordered systemsPhysics Reports, 1992
- Perturbation theory for periodic orbits in a class of infinite dimensional Hamiltonian systemsCommunications in Mathematical Physics, 1991
- Intrinsic Localized Modes in Anharmonic CrystalsPhysical Review Letters, 1988
- Disordered electronic systemsReviews of Modern Physics, 1985
- Absence of Diffusion in Certain Random LatticesPhysical Review B, 1958