Solitons, platonic symmetry and fullerenes

Sutcliffe, P.M. (2003) Solitons, platonic symmetry and fullerenes. In: Group 24 : Physical and Mathematical Aspects of Symmetries. Institute of Physics Conference Series, 173 . Iop Publishing Ltd, Bristol, pp. 161-168. ISBN 0951-3248. (The full text of this publication is not available from this repository)

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Abstract

Skyrmions are topological solitons in three space dimensions which are candidates for an effective description of nuclei. It is of interest to determine the structure and symmetry of the classical Skyrmion solution with minimal energy for a given soliton number. Numerical solutions of the relevant nonlinear PDE yield interesting results, with the Skyrmions often having unexpected Platonic symmetry. For large soliton numbers the solutions have a structure similar to Fullerenes in carbon chemistry. These results are reviewed, together with an analytical perspective which involves an approximation based on rational maps between Riemann spheres.

Item Type: Book section
Uncontrolled keywords: SKYRME MODEL; RATIONAL MAPS
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Applied Mathematics
Depositing User: Judith Broom
Date Deposited: 12 Sep 2008 12:13
Last Modified: 14 Jan 2010 14:29
Resource URI: http://kar.kent.ac.uk/id/eprint/7990 (The current URI for this page, for reference purposes)
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