Breathers in strongly anharmonic lattices
- We present and study a family of finite amplitude breathers on a genuinely anharmonic Klein-Gordon lattice embedded in a nonlinear site potential. The direct numerical simulations are supported by a quasilinear Schrodinger equation (QLS) derived by averaging out the fast oscillations assuming small, albeit finite, amplitude vibrations. The genuinely anharmonic interlattice forces induce breathers which are strongly localized with tails evanescing at a doubly exponential rate and are either close to a continuum, with discrete effects being suppressed, or close to an anticontinuum state, with discrete effects being enhanced. Whereas the D-QLS breathers appear to be always stable, in general there is a stability threshold which improves with spareness of the lattice.
Author details: | Philip RosenauORCiD, Arkadij PikovskijORCiDGND |
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DOI: | https://doi.org/10.1103/PhysRevE.89.022924 |
ISSN: | 1539-3755 |
ISSN: | 1550-2376 |
Pubmed ID: | https://pubmed.ncbi.nlm.nih.gov/25353562 |
Title of parent work (English): | Physical review : E, Statistical, nonlinear and soft matter physics |
Publisher: | American Physical Society |
Place of publishing: | College Park |
Publication type: | Article |
Language: | English |
Year of first publication: | 2014 |
Publication year: | 2014 |
Release date: | 2017/03/27 |
Volume: | 89 |
Issue: | 2 |
Number of pages: | 9 |
Funding institution: | Bauer-Neuman Chair in Applied Mathematics and Theoretical Mechanics; DFG/FAPESP [IRTG 1740/TRP 2011/50151-0] |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
Peer review: | Referiert |