Simulated Annealing for Topological Solitons

Details Simulated Annealing for Topological Solitons Simulated Annealing for Topological Solitons

2000-02-08

arxiv.org/abs/hep-th/0002058v2

Phys.Rev. E62 (2000) 4333-4346

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, LaTeX, better quality pics at http://www.phy.umist.ac.uk/~weidig/Simulated_Annealing/, updated for publication

Scientific paper

10.1103/PhysRevE.62.4333

The search for solutions of field theories allowing for topological solitons requires that we find the field configuration with the lowest energy in a given sector of topological charge. The standard approach is based on the numerical solution of the static Euler-Lagrange differential equation following from the field energy. As an alternative, we propose to use a simulated annealing algorithm to minimize the energy functional directly. We have applied simulated annealing to several nonlinear classical field theories: the sine-Gordon model in one dimension, the baby Skyrme model in two dimensions and the nuclear Skyrme model in three dimensions. We describe in detail the implementation of the simulated annealing algorithm, present our results and get independent confirmation of the studies which have used standard minimization techniques.

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