Energy Thresholds for Discrete Breathers in One-, Two-, and Three-Dimensional Lattices
- 17 February 1997
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 78 (7) , 1207-1210
- https://doi.org/10.1103/physrevlett.78.1207
Abstract
Discrete breathers are time-periodic, spatially localized solutions of equations of motion for classical degrees of freedom interacting on a lattice. They come in one-parameter families. We report on studies of energy properties of breather families in one-, two-, and three-dimensional lattices. We show that breather energies have a positive lower bound if the lattice dimension of a given nonlinear lattice is greater than or equal to a certain critical value. These findings could be important for the experimental detection of discrete breathers.Keywords
All Related Versions
This publication has 7 references indexed in Scilit:
- Soliton dynamics in the discrete nonlinear Schrödinger equationPublished by Elsevier ,1999
- Exponential stability of breathers in Hamiltonian networks of weakly coupled oscillatorsNonlinearity, 1996
- Existence of localized excitations in nonlinear Hamiltonian latticesPhysical Review E, 1995
- Conditions on the existence of localized excitations in nonlinear discrete systemsPhysical Review E, 1994
- Interrelation between the stability of extended normal modes and the existence of intrinsic localized modes in nonlinear lattices with realistic potentialsPhysical Review B, 1994
- Localized Modes in the Long-Time Behavior of Anharmonic LatticesJournal of the Physics Society Japan, 1990
- Intrinsic Localized Modes in Anharmonic CrystalsPhysical Review Letters, 1988