Oscillating elastic defects: competition and frustration

Details Oscillating elastic defects: competition and frustration Oscillating elastic defects: competition and frustration

2005-08-31

arxiv.org/abs/cond-mat/0508761v1

Physics

Condensed Matter

Materials Science

4 pages, 5 figures

Scientific paper

10.1103/PhysRevB.74.024104

We consider a dynamical generalization of the Eshelby problem: the strain profile due to an inclusion or "defect" in an isotropic elastic medium. We show that the higher the oscillation frequency of the defect, the more localized is the strain field around the defect. We then demonstrate that the qualitative nature of the interaction between two defects is strongly dependent on separation, frequency and direction, changing from "ferromagnetic" to "antiferromagnetic" like behavior. We generalize to a finite density of defects and show that the interactions in assemblies of defects can be mapped to XY spin-like models, and describe implications for frustration and frequency-driven pattern transitions.

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