dorsal/arxiv
View SchemaCurvature-induced symmetry breaking in nonlinear Schrodinger models
| Authors | Yu. B. Gaididei, S. F. Mingaleev, P. L. Christiansen |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9907003 |
| URL | https://arxiv.org/abs/patt-sol/9907003 |
| DOI | 10.1103/PhysRevE.62.R53 |
| Journal | Phys. Rev. E 62, R53-R56 (2000). |
Abstract
We consider a curved chain of nonlinear oscillators and show that the interplay of curvature and nonlinearity leads to a symmetry breaking when an asymmetric stationary state becomes energetically more favorable than a symmetric stationary state. We show that the energy of localized states decreases with increasing curvature, i.e. bending is a trap for nonlinear excitations. A violation of the Vakhitov-Kolokolov stability criterium is found in the case where the instability is due to the softening of the Peierls internal mode.
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"abstract": "We consider a curved chain of nonlinear oscillators and show that the\ninterplay of curvature and nonlinearity leads to a symmetry breaking when an\nasymmetric stationary state becomes energetically more favorable than a\nsymmetric stationary state. We show that the energy of localized states\ndecreases with increasing curvature, i.e. bending is a trap for nonlinear\nexcitations. A violation of the Vakhitov-Kolokolov stability criterium is found\nin the case where the instability is due to the softening of the Peierls\ninternal mode.",
"arxiv_id": "patt-sol/9907003",
"authors": [
"Yu. B. Gaididei",
"S. F. Mingaleev",
"P. L. Christiansen"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1103/PhysRevE.62.R53",
"journal_ref": "Phys. Rev. E 62, R53-R56 (2000).",
"title": "Curvature-induced symmetry breaking in nonlinear Schrodinger models",
"url": "https://arxiv.org/abs/patt-sol/9907003"
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