Tuesday, May 15, 2012

1205.3006 (Phoebus Rosakis et al.)

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

Phoebus Rosakis, Anna Vainchtein
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 threshold 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.
View original: http://arxiv.org/abs/1205.3006

No comments:

Post a Comment