Elastic Theory of Defects in Toroidal Crystals

Details Elastic Theory of Defects in Toroidal Crystals Elastic Theory of Defects in Toroidal Crystals

2008-07-28

arxiv.org/abs/0807.4538v1

Eur. Phys. J. E 27, 275 (2008)

Physics

Condensed Matter

Soft Condensed Matter

24 pages, 24 figures

Scientific paper

10.1140/epje/i2008-10380-9

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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