Almost compact breathers in anharmonic lattices near the continuum limit

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Abstract

Certain strictly anharmonic one-dimensional lattices support discrete breathers over a macroscopic localized domain that in the continuum limit becomes exactly compact. The discrete breather tails decay at a double-exponential rate, so such systems can store energy locally, especially since discrete breathers appear to be stable for amplitudes below a sharp stability threshold. The effective width of other solutions broadens over time, but, under appropriate conditions, only after a positive waiting time. The continuum limit of a planar hexagonal lattice also supports a compact breather.

Original languageEnglish
Article number045503
JournalPhysical Review Letters
Volume94
Issue number4
DOIs
StatePublished - 4 Feb 2005

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