Low-frequency discrete breathers in long-range systems without on-site potential.
basic_science · Level V
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- Record sourced from PubMed, PMID 30011521.
- Also identified by DOI 10.1103/PhysRevE.97.062218.
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Abstract
A mechanism of long-range couplings is proposed to realize low-frequency discrete breathers without on-site potentials. The realization of such discrete breathers requires a gap below the band of linear eigenfrequencies. Under the periodic boundary condition of a one-dimensional lattice and the limit of large population, we show theoretically that the long-range couplings universally open the gap below the band irrespective of the coupling functions, while the short-range couplings cannot. The existence of the low-frequency discrete breathers, spatial localization, and stability are numerically analyzed from long range to short range.