Title

Crystalline Order on a Sphere and the Generalized Thomson Problem

Author(s)/Creator(s)

Mark Bowick, Department of Physics, Syracuse University, Syracuse, NYFollow
Angelo Cacciuto, Syracuse UniversityFollow
David R. Nelson, Harvard University
A. Travesset, University of Illinois at Urbana

Document Type

Article

Date

10-19-2002

Language

English

Disciplines

Physics

Description/Abstract

We attack generalized Thomson problems with a continuum formalism which exploits a universal long range interaction between defects depending on the Young modulus of the underlying lattice. Our predictions for the ground state energy agree with simulations of long range power law interactions of the form 1/r^{gamma} (0 < gamma < 2) to four significant digits. The regime of grain boundaries is studied in the context of tilted crystalline order and the generality of our approach is illustrated with new results for square tilings on the sphere.

Additional Information

4 pages, 5 eps figures Fig. 2 revised, improved Fig. 3, reference typo fixed More information at More information at http://arxiv.org/abs/cond-mat/0206144

Recommended Citation

Bowick, Mark; Cacciuto, Angelo; Nelson, David R.; and Travesset, A., "Crystalline Order on a Sphere and the Generalized Thomson Problem" (2002). Physics - All Scholarship. 156.
https://surface.syr.edu/phy/156

Source

Harvested from Arxiv.org

Creative Commons License

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