Circumventing Magnetostatic Reciprocity: A Diode for Magnetic Fields

Combining micromagnetism and magnetostatic Maxwell equations for multiscale magnetic simulations☆

Magnetostatic Maxwell equations and the Landau-Lifshitz-Gilbert (LLG) equation are combined to a multiscale method, which allows to extend the problem size of traditional micromagnetic simulations. By means of magnetostatic Maxwell equations macroscopic regions can be handled in an averaged and stationary sense, whereas the LLG allows to accurately describe domain formation as well as magnetiza...

On the singularities of the electrostatic and magnetostatic dipole fields

The singular behaviour of the electrostatic dipole field is compared with that of the magnetostatic one, with pedagogical access to the difference between the two established without necessarily resorting to certain advanced differentiation identities involving delta functions. Such an approach may be more suitable for a regular curriculum in electrodynamics. It is rather common in many standar...

Hohenberg-Kohn theorems in electrostatic and uniform magnetostatic fields.

The Hohenberg-Kohn (HK) theorems of bijectivity between the external scalar potential and the gauge invariant nondegenerate ground state density, and the consequent Euler variational principle for the density, are proved for arbitrary electrostatic field and the constraint of fixed electron number. The HK theorems are generalized for spinless electrons to the added presence of an external unifo...

Magnetic Fields Ignorable Magnetic Fields Non Ignorable Magnetic Fields Important Magnetic Fields Dominant

Magnetic fields are considered to be dominant when εB ≥ εK , being εB = B /8π the magnetic energy density and εK = 1/2ρθ 2 the rotation energy density, for a conventional moderate B= 1 μG. They are considered to be negligible when εB < εK for B ∼ 10μG. With no assumption and no theoretical calculation, we show that magnetic fields cannot be ignored in the outer parts of a galaxy like the Milky ...

Theory of Magnetostatic Coupling in Thin-Film Rectangular Magnetic Elements