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29 March 2024
 
  » arxiv » cond-mat/9909404

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Kinks in the discrete sine-Gordon model with Kac-Baker long-range interactions
Serge F. Mingaleev ; Yuri B. Gaididei ; Eva Majernikova ; Serge Shpyrko ;
Date 28 Sep 1999
Journal Phys. Rev. E 61, 4454-4461 (2000).
Subject Soft Condensed Matter; Pattern Formation and Solitons | cond-mat.soft nlin.PS
AbstractWe study effects of Kac-Baker long-range dispersive interaction (LRI) between particles on kink properties in the discrete sine-Gordon model. We show that the kink width increases indefinitely as the range of LRI grows only in the case of strong interparticle coupling. On the contrary, the kink becomes intrinsically localized if the coupling is under some critical value. Correspondingly, the Peierls-Nabarro barrier vanishes as the range of LRI increases for supercritical values of the coupling but remains finite for subcritical values. We demonstrate that LRI essentially transforms the internal dynamics of the kinks, specifically creating their internal localized and quasilocalized modes. We also show that moving kinks radiate plane waves due to break of the Lorentz invariance by LRI.
Source arXiv, cond-mat/9909404
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