The geometrical optimization of aligned hard-soft permanent-magnet nanocomposites is investigated by model calculations. Considered criteria are the shapes of the soft and c-axis-aligned hard phases, the packing fraction of the soft phase, and magnetostatic interactions. Taking into account that the energy product is enhanced via the volume fraction of the soft phase, subject to maintaining coe...

A virtually complete description of the topology of stationary incompressible Euler flows and the magnetic field satisfying the magnetostatic equation is given by a theorem due to Arnol'd. We apply this theorem to describe the topology of stationary states of plasmas with significant fluid flow, obeying the Hall magnetohydrodynamics model equations. In the context of the integrability (nonchaot...

The two-plate initial boundary-value problem of Parker is reviewed, treating the relaxation a 3D magnetic field prescribed with an arbitrary topology to terminal force-free in cold, viscous, electrically perfect fluid conductor. Anchored by their foot-points at perfectly conducting rigid plates, relaxing preserves its topology. magnetostatic theorem states that for most topologies, must embed c...

Abstract In this paper, we address the problem that standard stochastic Landau-Lifshitz-Gilbert (sLLG) simulations typically produce results show unphysical mesh-size dependence. The root cause of is effects spin-wave fluctuations are ignored in sLLG. We propose to represent effect these by a full-spin-wave-scaled LLG, or FUSSS LLG method. intrinsic parameters sLLG first scaled scaling factors ...