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Discrete breathers in aperiodic diatomic FPU lattices with long range order
Linköping University, The Institute of Technology. Linköping University, Department of Science and Technology.ORCID iD: 0000-0003-0528-9782
Linköping University, The Institute of Technology. Linköping University, Department of Physics, Chemistry and Biology.
Linkoping Univ, Dept Phys & Measurement Technol, S-58183 Linkoping, Sweden.
2000 (English)In: Physica D: Non-linear phenomena, ISSN 0167-2789, Vol. 136, no 1-2, 93-124 p.Article in journal (Refereed) Published
Abstract [en]

This study presents various aspects of discrete breathers in diatomic FPU lattices with masses varying according to the aperiodic Fibonacci and Thue-Morse sequences. We investigate the existence of time-periodic breathers, starting from the anti-continuous limit and consider excitations of isolated light atoms, hence obtaining the domain of unique existence for these breathers. We also perform a linear stability analysis by studying the Floquet operator. The found exact solutions are used, slightly perturbed, as initial conditions for long-time simulations of the breathers. These breathers turn out to be robust. Finally we consider how initial excitations of two consecutive light atoms evolve. Depending on the properties of the phase space for the two-atom system at the anti-continuous limit, we obtain different behaviour of these excitations. Especially we find that the aperiodic lattices can support localized excitations with a continuous frequency distribution for the timescales we consider, while a periodic lattice is unable to. These excitations are referred to as chaotic breathers. (C)2000 Elsevier Science B.V. All rights reserved.

Place, publisher, year, edition, pages
2000. Vol. 136, no 1-2, 93-124 p.
Keyword [en]
discrete breathers, aperiodically ordered lattices
National Category
Engineering and Technology
URN: urn:nbn:se:liu:diva-49914OAI: diva2:270810
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2013-09-12

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Hörnquist, MichaelLennholm, Erik
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The Institute of TechnologyDepartment of Science and TechnologyDepartment of Physics, Chemistry and Biology
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