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

Source

Harvested from Arxiv.org

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

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