In a Peierls-Nabarro model for semi-coherent interfaces, the optimal dislocation density becomes uniform as the interface grows, and in a periodic sharp-interface limit the only minimizers are equally spaced points on a circle.
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Uniform distribution of dislocations in Peierls-Nabarro models for semi-coherent interfaces
In a Peierls-Nabarro model for semi-coherent interfaces, the optimal dislocation density becomes uniform as the interface grows, and in a periodic sharp-interface limit the only minimizers are equally spaced points on a circle.