Abstract
We study the validity of perturbational treatments of one-dimensional weedy discrete kink-bearing systems with the corresponding continuum model as the unperturbed state. We calculate the PeierlsNabarro barrier height Δ PN , the Peierls-Nabarro frequency ω PM , and the deviation of the kink creation energy from the continuum case. In the case of the sine-Gordon system and the Φ 4 system, we find that the dressing (change of the continuum kink shape due to discreteness) contributes to the values of Δ PN and Ω PN through all orders of perturbation, thereby making the whole perturbation scheme irrelevant
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
