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Details of Grant 

EPSRC Reference: GR/M57521/01
Title: SKYRMIONS, MONOPOLES AND KNOTS
Principal Investigator: Sutcliffe, Professor P
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department: Sch of Maths Statistics & Actuarial Sci
Organisation: University of Kent
Scheme: Standard Research (Pre-FEC)
Starts: 01 November 1998 Ends: 31 October 2001 Value (£): 51,438
EPSRC Research Topic Classifications:
Mathematical Physics
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors
Related Grants:
Panel History:  
Summary on Grant Application Form
The proposed project is to study the structure, interaction and dynamics of topological solitons in three space dimensions using a variety of analytical and numerical methods. The investigation will focus particularly on three types of soliton: Skyrmions, BPS monopoles and knots. The investigation of Skyrmions will continue in several directions but a fundamental issue is the indentification of the structure of higher charge Skyrmions together with an understanding of the analogy with fullerene chemistry. This will involve further numerical simulations but great use will also be made of the powerful new rational map approach. Applications to nuclei will also be addressed.Further investigation of symmetric monopoles will be conducted, with particular emphasis upon the use of rational maps in order to clarify the links with Skyrmions.I propose to use numerical simulations to study the structure and interaction of string and knot solitons and in particular to address the issue of existence and stability. Applications to magnetic vortex rings will also be pursued.
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Organisation Website: http://www.kent.ac.uk