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Письма в Журнал экспериментальной и теоретической физики, 2009, том 89, выпуск 3, страницы 170–175
(Mi jetpl357)
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Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
КОНДЕНСИРОВАННЫЕ СРЕДЫ
$q$-breathers in discrete nonlinear schrödinger arrays with weak disorder
M. V. Ivanchenko Department of Applied Mathematics, University of Leeds,
LS2 9JT Leeds, United Kingdom
Аннотация:
Nonlinearity and disorder are key players in vibrational lattice dynamics, responsible for localization and delocalization phenomena. $q$-Breathers – periodic orbits in nonlinear lattices, exponentially localized in the reciprocal linear mode space – is a fundamental class of nonlinear oscillatory modes, currently found in disorder-free systems. In this paper we generalize the concept of $q$-breathers to the case of weak disorder, taking the Discrete Nonlinear Schrödinger chain as an example. We show that $q$-breathers retain exponential localization near the central mode, provided that disorder is sufficiently small. We analyze statistical properties of the instability threshold and uncover its sensitive dependence on a particular realization. Remarkably, the threshold can be intentionally increased or decreased by specifically arranged inhomogeneities. This effect allows us to formulate an approach to controlling the energy flow between the modes. The relevance to other model arrays and experiments with miniature mechanical lattices, light and matter waves propagation in optical potentials is discussed.
Поступила в редакцию: 05.12.2008 Исправленный вариант: 11.01.2009
Образец цитирования:
M. V. Ivanchenko, “$q$-breathers in discrete nonlinear schrödinger arrays with weak disorder”, Письма в ЖЭТФ, 89:3 (2009), 170–175; JETP Letters, 89:3 (2009), 150–155
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/jetpl357 https://www.mathnet.ru/rus/jetpl/v89/i3/p170
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