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.
Original language | English (US) |
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Pages (from-to) | 275-296 |
Number of pages | 22 |
Journal | European Physical Journal E |
Volume | 27 |
Issue number | 3 |
DOIs | |
State | Published - Nov 2008 |
ASJC Scopus subject areas
- Biotechnology
- Biophysics
- General Chemistry
- General Materials Science
- Surfaces and Interfaces