Can low-frequency breathers exist in a quasi-1D crystal?
| dc.creator | Savin, A. V. | |
| dc.creator | Zubova, E. A. | |
| dc.creator | Manevitch, L. I. | |
| dc.date | 2004-09-28 | |
| dc.date.accessioned | 2026-07-07T03:01:04Z | |
| dc.date.available | 2026-07-07T03:01:04Z | |
| dc.description | We investigate a quasi-1D crystal: 2D system of coupled linear chains of particles with strong intra-chain and weak inter-chain interactions. Nonlinear dynamics of one of these chains when the rest of them are fixed is reduced to the well known Frenkel-Kontorova (FK) model. Its continuum limit, sine-Gordon (sG) equation, predicts two types of soliton solutions: topological solitons and breathers. It is known that the quasi-1D topological solitons exist also in a 2D system of coupled chains and even in a 3D model of a polymer crystal. Numerical simulation shows that the breathers inherent to the FK model do not exist in the system of chains. The effect changes scenario of kink-antikink collision at small velocities: it always results only in intensive phonon radiation while kink-antikink recombination in the FK model results in long-living low-frequency sG breather creation. The reason of the difference is that the model of coupled chains catches 'acoustic' part of phonon spectrum of a crystal while the FK model does not. Low-frequency SG breathers in a crystal intensively emit resonant 'acoustic' phonons and come to ruin. | |
| dc.description | 4 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0409706 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0409706 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/24950 | |
| dc.subject | Other Condensed Matter | |
| dc.title | Can low-frequency breathers exist in a quasi-1D crystal? | |
| dc.type | text |