学術雑誌論文 Low-frequency discrete breathers in long-range systems without on-site potential

Yamaguchi, Yoshiyuki Y.  ,  Doi, Yusuke

97 ( 6 ) 2018-06-25 , American Physical Society (APS)
ISSN:1539-3755
内容記述
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.
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http://repository.kulib.kyoto-u.ac.jp/dspace/bitstream/2433/232587/1/PhysRevE.97.062218.pdf

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