Optimal control for a coupled spin-polarized current and magnetization system
Xin An, Ananta K. Majee, Andreas Prohl, Thanh Tran
Abstract
Abstract This paper is devoted to an optimal control problem of a coupled spin drift-diffusion Landau–Lifshitz–Gilbert system describing the interplay of magnetization and spin accumulation in magnetic-nonmagnetic multilayer structures, where the control is given by the electric current density. A variational approach is used to prove the existence of an optimal control. The first-order necessary optimality system for the optimal solution is derived in one space-dimension via Lagrange multiplier method. Numerical examples are reported to validate the theoretical findings.
Topics & Concepts
MagnetizationLagrange multiplierDimension (graph theory)Optimal controlSpin (aerodynamics)MathematicsCondensed matter physicsStatistical physicsPhysicsMathematical optimizationMagnetic fieldQuantum mechanicsPure mathematicsThermodynamicsMagnetic properties of thin filmsMagnetic Properties and ApplicationsAdvanced Numerical Methods in Computational Mathematics