Energy thresholds for discrete breathers in one-, two- and three-dimensional lattices

Preprint

6 January 1997

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.patt-sol/9701003

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

DIMENSIONAL LATTICES
EQUATIONS OF MOTION
DEGREES OF FREEDOM
DISCRETE BREATHERS
ENERGY THRESHOLDS
LATTICES DISCRETE
CRITICAL VALUE

All Related Versions

Version 1, 1997-01-06, ArXiv
Published version: Physical Review Letters, 78 (7), 1207.

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