New Solutions for Slow Moving Kinks in a Forced Frenkel-Kontorova Chain

Rosakis, Phoebus and Vainchtein, Anna (2012) New Solutions for Slow Moving Kinks in a Forced Frenkel-Kontorova Chain. arxiv.org.

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Abstract

We construct new traveling wave solutions of moving kink type for a modified, driven, dynamic Frenkel-Kontorova model, representing dislocation motion under stress. Formal solutions known so far are inadmissible for velocities below a thresh- old value. The new solutions fill the gap left by this loss of admissibility. Analytical and numerical evidence is presented for their existence; however, dynamic simula- tions suggest that they are probably unstable.

Item Type: Article
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics > Department of Applied Mathematics
Depositing User: Professor Phoebus Rosakis
Date Deposited: 19 Mar 2013 08:49
Last Modified: 05 May 2017 13:48
URI: http://preprints.acmac.uoc.gr/id/eprint/187

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