dorsal/arxiv
View SchemaLocalized moving breathers in a 2-D hexagonal lattice
| Authors | J. L. Marín, J. C. Eilbeck, F. M. Russell |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9709002 |
| URL | https://arxiv.org/abs/patt-sol/9709002 |
| DOI | 10.1016/S0375-9601(98)00577-5 |
Abstract
We show for the first time that highly localized in-plane breathers can propagate in specific directions with minimal lateral spreading in a model 2-D hexagonal non-linear lattice. The lattice is subject to an on-site potential in addition to longitudinal nonlinear inter-particle interactions. This study investigates the prediction that stable breather-like solitons could be formed as a result of energetic scattering events in a given layered crystal and would propagate in atomic-chain directions in certain atomic planes. This prediction arose from a long-term study of previously unexplained dark lines in natural crystals of muscovite mica.
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"date_created": "2026-03-02T18:00:29.392000Z",
"date_modified": "2026-03-02T18:00:29.392000Z",
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"abstract": "We show for the first time that highly localized in-plane breathers can\npropagate in specific directions with minimal lateral spreading in a model 2-D\nhexagonal non-linear lattice. The lattice is subject to an on-site potential in\naddition to longitudinal nonlinear inter-particle interactions. This study\ninvestigates the prediction that stable breather-like solitons could be formed\nas a result of energetic scattering events in a given layered crystal and would\npropagate in atomic-chain directions in certain atomic planes. This prediction\narose from a long-term study of previously unexplained dark lines in natural\ncrystals of muscovite mica.",
"arxiv_id": "patt-sol/9709002",
"authors": [
"J. L. Mar\u00edn",
"J. C. Eilbeck",
"F. M. Russell"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1016/S0375-9601(98)00577-5",
"title": "Localized moving breathers in a 2-D hexagonal lattice",
"url": "https://arxiv.org/abs/patt-sol/9709002"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "062571fb-03b3-4ccf-b9cb-83d7ed33acf1",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
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