dorsal/arxiv
View SchemaDiscrete Breathers and Energy Localization in Nonlinear Lattices
| Authors | T. Dauxois, M. Peyrard |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9306001 |
| URL | https://arxiv.org/abs/patt-sol/9306001 |
Abstract
We discuss the process by which energy, initially evenly distributed in a nonlinear lattice, can localize itself into large amplitude excitations. We show that, the standard modulational instability mechanism, which can initiate the process by the formation of small amplitude breathers, is completed efficiently, in the presence of discreteness, by energy exchange mechanisms between the nonlinear excitations which favor systematically the growth of the larger excitations. The process is however self regulated because the large amplitude excitations are finally trapped by the Peierls-Nabarro potential.
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"date_created": "2026-03-02T18:00:28.832000Z",
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"abstract": "We discuss the process by which energy, initially evenly distributed in a\nnonlinear lattice, can localize itself into large amplitude excitations. We\nshow that, the standard modulational instability mechanism, which can initiate\nthe process by the formation of small amplitude breathers, is completed\nefficiently, in the presence of discreteness, by energy exchange mechanisms\nbetween the nonlinear excitations which favor systematically the growth of the\nlarger excitations. The process is however self regulated because the large\namplitude excitations are finally trapped by the Peierls-Nabarro potential.",
"arxiv_id": "patt-sol/9306001",
"authors": [
"T. Dauxois",
"M. Peyrard"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"title": "Discrete Breathers and Energy Localization in Nonlinear Lattices",
"url": "https://arxiv.org/abs/patt-sol/9306001"
},
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