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
Journal or Publication Title:	PHYSICA D-NONLINEAR PHENOMENA
Publisher:	ELSEVIER SCIENCE BV
ISSN:	0167-2789
Date:	1 November 2002
Volume:	171
Number:	4
Number of Pages:	10
Page Range:	pp. 211-220
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/10381

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