Linear stability analysis via simulated annealing and accelerated relaxation

Simulated annealing (SA) is a kind of relaxation method for finding equilibria Hamiltonian systems. A set evolution equations solved with SA, which derived from the original system so that energy changes monotonically while preserving Casimir invariants inherent to noncanonical The extremum reached by SA an equilibrium. Since searches extremum, it can also be used stability analysis when initiated state where perturbation added procedure explained, and some examples are shown. Because time computationally consuming, efficient necessary practically useful. An acceleration developed introducing dependence in symmetric kernel double bracket, part formulation described here. explicit low-beta reduced magnetohydrodynamics (MHD) cylindrical geometry presented. MHD has two advection fields relax, important balance orders magnitude these fields.