Title

Elastic Theory of Defects in Toroidal Crystals

Author(s)/Creator(s)

Mark Bowick, Department of Physics, Syracuse University, Syracuse, NYFollow
Luca Giomi, Syracuse University

ORCID

Luca Giomi:

https://orcid.org/0000-0001-7740-5960

Document Type

Article

Date

7-28-2008

Keywords

Toroidal Crystals

Language

English

Acknowledgements

Luca Giomi:

https://orcid.org/0000-0001-7740-5960

Disciplines

Physics

Description/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.

Additional Information

24 pages, 24 figures More information at http://arxiv.org/abs/0807.4538

Recommended Citation

Bowick, Mark and Giomi, Luca, "Elastic Theory of Defects in Toroidal Crystals" (2008). Physics - All Scholarship. 140.
https://surface.syr.edu/phy/140

Source

Harvested from Arxiv.org

Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 License.