Dislocation dynamics in a dodecagonal quasiperiodic structure

Details Dislocation dynamics in a dodecagonal quasiperiodic structure Dislocation dynamics in a dodecagonal quasiperiodic structure

2005-10-28

arxiv.org/abs/cond-mat/0510796v1

Phil. Mag. 86 (2006) 1059-1064.

Physics

Condensed Matter

Materials Science

Accepted for publication in Philosophical Magazine

Scientific paper

10.1080/14786430500256383

We have developed a set of numerical tools for the quantitative analysis of defect dynamics in quasiperiodic structures. We have applied these tools to study dislocation motion in the dynamical equation of Lifshitz and Petrich [Phys. Rev. Lett. 79 (1997) 1261] whose steady state solutions include a quasiperiodic structure with dodecagonal symmetry. Arbitrary dislocations, parameterized by the homotopy group of the D-torus, are injected as initial conditions and quantitatively followed as the equation evolves in real time. We show that for strong diffusion the results for dislocation climb velocity are similar for the dodecagonal and the hexagonal patterns, but that for weak diffusion the dodecagonal pattern exhibits a unique pinning of the dislocation, reflecting its quasiperiodic nature.

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