dorsal/arxiv
View SchemaEnergy thresholds for discrete breathers in one-, two- and three-dimensional lattices
| Authors | S. Flach, K. Kladko, R. S. MacKay |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9701003 |
| URL | https://arxiv.org/abs/patt-sol/9701003 |
| DOI | 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.
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"abstract": "Discrete breathers are time-periodic, spatially localized solutions of\nequations of motion for classical degrees of freedom interacting on a lattice.\nThey come in one-parameter families. We report on studies of energy properties\nof breather families in one-, two- and three-dimensional lattices. We show that\nbreather energies have a positive lower bound if the lattice dimension of a\ngiven nonlinear lattice is greater than or equal to a certain critical value.\nThese findings could be important for the experimental detection of discrete\nbreathers.",
"arxiv_id": "patt-sol/9701003",
"authors": [
"S. Flach",
"K. Kladko",
"R. S. MacKay"
],
"categories": [
"patt-sol",
"cond-mat",
"nlin.PS"
],
"doi": "10.1103/PhysRevLett.78.1207",
"title": "Energy thresholds for discrete breathers in one-, two- and three-dimensional lattices",
"url": "https://arxiv.org/abs/patt-sol/9701003"
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