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

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.

preprint2013arXivOpen access
Phoebus RosakisAnna Vainchtein
cond-mat.mtrl-scimath-phmath.DSmath.MPnlin.PS
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Phoebus RosakisAnna Vainchtein

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