Breathers on lattices with long range interaction
凝聚态物理
2009-10-31 v1
摘要
We analyze the properties of breathers (time periodic spatially localized solutions) on chains in the presence of algebraically decaying interactions . 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 and the energy of the breather. Next we show that the results on energy thresholds obtained for short range interactions remain valid for and that for (anomalous dispersion at the band edge) nonzero thresholds occur for cases where the short range interaction system would yield zero threshold values.
引用
@article{arxiv.cond-mat/9809387,
title = {Breathers on lattices with long range interaction},
author = {S. Flach},
journal= {arXiv preprint arXiv:cond-mat/9809387},
year = {2009}
}
备注
4 pages, 2 figures, PRB Rapid Comm. October 1998