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On the existence of internal modes of sine-Gordon kinks | | Niurka R. Quintero
; Angel Sanchez
; Franz G. Mertens
; | | Date: |
21 Jun 2000 | | Subject: | Statistical Mechanics; Superconductivity; Mathematical Physics; Pattern Formation and Solitons | cond-mat.stat-mech cond-mat.supr-con math-ph math.MP nlin.PS | | Affiliation: | GISC, Matematicas, Universidad Carlos III de Madrid, Spain) and Franz G. Mertens (Physikalisches Institut, Universitat Bayreuth, Germany | | Abstract: | We study whether or not sine-Gordon kinks exhibit internal modes or ``quasimodes.’’ By considering the response of the kinks to ac forces and initial distortions, we show that neither intrinsic internal modes nor ``quasimodes’’ exist in contrast to previous reports. However, we do identify a different kind of internal mode bifurcating from the bottom edge of the phonon band which arises from the discretization of the system in the numerical simulations, thus confirming recent predictions. | | Source: | arXiv, cond-mat/0006314 | | Services: | Forum | Review | PDF | Favorites | |
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