Elastic Theory of Defects in Toroidal Crystals
| dc.creator | Giomi, Luca | |
| dc.creator | Bowick, Mark J. | |
| dc.date | 2008-07-28 | |
| dc.date.accessioned | 2026-07-07T12:08:59Z | |
| dc.date.available | 2026-07-07T12:08:59Z | |
| dc.description | 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. | |
| dc.description | 24 pages, 24 figures | |
| dc.identifier | https://arxiv.org/abs/0807.4538 | |
| dc.identifier | http://arxiv.org/abs/0807.4538 | |
| dc.identifier | Eur. Phys. J. E 27, 275 (2008) | |
| dc.identifier | doi:10.1140/epje/i2008-10380-9 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/209482 | |
| dc.subject | Soft Condensed Matter | |
| dc.subject | Materials Science | |
| dc.title | Elastic Theory of Defects in Toroidal Crystals | |
| dc.type | text |