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Standing wave instabilities, breather formation and thermalization in a Hamiltonian anharmonic lattice
Linköping University, The Institute of Technology. Linköping University, Department of Physics, Chemistry and Biology, Theoretical Physics .ORCID iD: 0000-0001-6708-1560
Laboratoire Léon Brillouin, CEA Saclay, 91191 Gif-sur-Yvette Cedex, France.
Laboratoire Léon Brillouin, CEA Saclay, 91191 Gif-sur-Yvette Cedex, France.
Department of Physics, University of Crete, PO Box 2208, 71003, Heraklion, Crete, Greece.
2002 (English)In: European Physical Journal B: Condensed Matter Physics, ISSN 1434-6028, E-ISSN 1434-6036, Vol. 29, no 2, 279-283 p.Article in journal (Refereed) Published
Abstract [en]

Modulational instability of travelling plane waves is often considered as the first step in the formation of intrinsically localized modes (discrete breathers) in anharmonic lattices. Here, we consider an alternative mechanism for breather formation, originating in oscillatory instabilities of spatially periodic or quasiperiodic nonlinear standing waves (SWs). These SWs are constructed for Klein-Gordon or Discrete Nonlinear Schrödinger lattices as exact time periodic and time reversible multibreather solutions from the limit of uncoupled oscillators, and merge into harmonic SWs in the small-amplitude limit. Approaching the linear limit, all SWs with nontrivial wave vectors (0 < Q < p) become unstable through oscillatory instabilities, persisting for arbitrarily small amplitudes in infinite lattices. The dynamics resulting from these instabilities is found to be qualitatively different for wave vectors smaller than or larger than p/2, respectively. In one regime persisting breathers are found, while in the other regime the system thermalizes.

Place, publisher, year, edition, pages
2002. Vol. 29, no 2, 279-283 p.
Keyword [en]
05.45.-a Nonlinear dynamics and nonlinear dynamical systems, 45.05.+x General theory of classical mechanics of discrete systems, 63.20.Ry Anharmonic lattice modes
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-46805DOI: 10.1140/epjb/e2002-00301-0OAI: oai:DiVA.org:liu-46805DiVA: diva2:267701
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2017-12-13

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