Year: 1998
Type: article
Abstract: We analyze the properties of breathers (time periodic spatially localized solutions) on chains in the presence of algebraically decaying interactions ${1/r}^{s}.$ We find that the spatial decay of a breather shows a crossover from exponential (short distances) to algebraic (large distances) decay. We calculate the crossover distance as a function of s and the energy of the breather. Next we show that the results on energy thresholds obtained for short range interactions remain valid for $s>3$ and that for $s<3$ (fractal dispersion at the band edge) nonzero thresholds occur for cases where the short range interaction system would yield zero threshold values.
Author: S. Flach
Language: English
Topic: Nonlinear Photonic Systems
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2011132755