Journal
EUROPEAN PHYSICAL JOURNAL E
Volume 27, Issue 3, Pages 275-296Publisher
SPRINGER
DOI: 10.1140/epje/i2008-10380-9
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Funding
- NSF [DMR-0305407, DMR-0705105]
- TeraGrid
- Syracuse Biomaterials Institute
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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.
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