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Simulated annealing (SA) is applied for three-dimensional (3D) equilibriumcalculation of ideal, low-beta reduced MHD in cylindrical geometry. The SA isbased on the theory of Hamiltonian mechanics. The dynamical equation of theoriginal system, low-beta reduced MHD in this study, is modified so that theenergy changes monotonically while preserving the Casimir invariants in theartificial dynamics. An equilibrium of the system is given by an extremum ofthe energy, therefore SA can be used as a method for calculating ideal MHDequilibrium. Previous studies demonstrated that the SA succeeds to lead tovarious MHD equilibria in two dimensional rectangular domain. In this paper,the theory is applied to 3D equilibrium of ideal, low-beta reduced MHD. Anexample of equilibrium with magnetic islands, obtained as a lower energy state,is shown. Several versions of the artificial dynamics are developed that caneffect smoothing.

Simulated annealing for three-dimensional low-beta reduced MHD equilibria in cylindrical geometry