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• W2025128122 abstract "We report a comprehensive analysis of the ground-state properties of axisymmetric toroidal crystals based on the elastic theory of defects on curved substrates. The ground state is analyzed as a function of the aspect ratio of the torus, which provides a non-local measure of the underlying Gaussian curvature, and the ratio of the defect core energy to the Young modulus. Several structural features are discussed, including a spectacular example of curvature-driven amorphization in the limit of the aspect ratio approaching one. The outcome of the elastic theory is then compared with the results of a numerical study of a system of point-like particles constrained on the surface of a torus and interacting via a short-range potential." @default.
• W2025128122 created "2016-06-24" @default.
• W2025128122 creator A5026813119 @default.
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• W2025128122 date "2008-11-01" @default.
• W2025128122 modified "2023-10-10" @default.
• W2025128122 title "Elastic theory of defects in toroidal crystals" @default.
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• W2025128122 doi "https://doi.org/10.1140/epje/i2008-10380-9" @default.
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