Low-frequency discrete breathers in long-range systems without on-site potential

作者:Yamaguchi Yoshiyuki Y*; Doi Yusuke
来源:PHYSICAL REVIEW E, 2018, 97(6): 062218.
DOI:10.1103/PhysRevE.97.062218

摘要

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.

  • 出版日期2018-6-25