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Atomic-scale localization of high-energy solitary waves on lattices
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UNSPECIFIED (2002) Atomic-scale localization of high-energy solitary waves on lattices. PHYSICA D-NONLINEAR PHENOMENA, 171 (4). pp. 211-220. ISSN 0167-2789.
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Abstract
One-dimensional monatomic lattices with Hamiltonian H = Sigma(nis an element ofZ)((1/2)p(n)(2) +V(q(n+1)-q(n))) are known to carry localized travelling wave solutions for generic nonlinear potentials V [Comm. Math. Phys. 161 (1994) 391]. In this paper we derive the asymptotic profile of these waves in the high-energy limit H --> infinity for Lennard-Jones type interactions. The limit profile is proved to be a universal, highly discrete, piecewise linear wave concentrated on a single atomic spacing. This shows that dispersionless energy transport in these systems is not confined to the long-wave regime on which the theoretical literature has hitherto focused, but also occurs at atomic-scale localization. (C) 2002 Elsevier Science B.V. All rights reserved.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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| Journal or Publication Title: | PHYSICA D-NONLINEAR PHENOMENA | ||||
| Publisher: | ELSEVIER SCIENCE BV | ||||
| ISSN: | 0167-2789 | ||||
| Official Date: | 1 November 2002 | ||||
| Dates: |
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| Volume: | 171 | ||||
| Number: | 4 | ||||
| Number of Pages: | 10 | ||||
| Page Range: | pp. 211-220 | ||||
| Publication Status: | Published |
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