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Breather-phonon resonances in finite-size lattices: 'Phantom breathers'?
Lab. Leon Brillouin (CEA-CNRS), CEA Saclay, F-91191 Gif-sur-Yvette Cedex, France.
Linköping University, The Institute of Technology. Linköping University, Department of Physics, Chemistry and Biology, Theoretical Physics .ORCID iD: 0000-0001-6708-1560
Lab. Leon Brillouin (CEA-CNRS), CEA Saclay, F-91191 Gif-sur-Yvette Cedex, France.
Department of Physics, University of Crete, PO Box 2208, GR-71003 Heraklion, Crete, Greece.
2002 (English)In: Journal of Physics A: Mathematical and General, ISSN 0305-4470, E-ISSN 1361-6447, Vol. 35, no 24, 4999-5021 p.Article in journal (Refereed) Published
Abstract [en]

We investigate the resonance mechanisms for discrete breathers in finite-size Klein-Gordon lattices, when some harmonic of the breather frequency enters the linear phonon band. For soft on-site potentials, the second-harmonic resonances typically result in the appearance of solutions with non-zero tails, phonobreathers. However, these tails may be very weak, and for small systems where the phonon frequencies are sparsely distributed, we identify 'phantom breathers' as being practically localized solutions, existing with frequencies in-between the phonon frequencies. For particular parameter values the tails completely vanish, and the phantom breathers decay exponentially over the whole system. We also describe briefly a first-harmonic resonance with a constant-amplitude wave and the generation of phonobreathers for hard potentials.

Place, publisher, year, edition, pages
2002. Vol. 35, no 24, 4999-5021 p.
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-46967DOI: 10.1088/0305-4470/35/24/303OAI: oai:DiVA.org:liu-46967DiVA: diva2:267863
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2017-12-13

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