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arXiv · 1205.3006

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

Phoebus Rosakis·Anna Vainchtein
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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 simulations suggest that they are probably unstable.

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Phoebus Rosakis, Anna Vainchtein. 2012-05-14. New Solutions for Slow Moving Kinks in a Forced Frenkel-Kontorova Chain. https://doi.org/10.1007/s00332-013-9180-7

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