Minimal Surfaces, Screw Dislocations and Twist Grain Boundaries

Randall D. Kamien; T. C. Lubensky

doi:10.1103/physrevlett.82.2892

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arXiv · cond-mat/9808306

Minimal Surfaces, Screw Dislocations and Twist Grain Boundaries

Randall D. Kamien·T. C. Lubensky

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Abstract

Large twist-angle grain boundaries in layered structures are often described by Scherk's first surface whereas small twist-angle grain boundaries are usually described in terms of an array of screw dislocations. We show that there is no essential distinction between these two descriptions and that, in particular, their comparative energetics depends crucially on the core structure of their screw-dislocation topological defects.

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Randall D. Kamien, T. C. Lubensky. 1999-02-22. Minimal Surfaces, Screw Dislocations and Twist Grain Boundaries. https://doi.org/10.1103/physrevlett.82.2892

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