Magnetization curling reversal for an infinite hollow cylinder

Abstract
A rigorous analysis of the curling mode for an infinite ferromagnetic hollow cylinder with exchange and uniaxial anisotropy and external field applied along its axis is made using Brown’s equation. Curling instability occurs only in a hollow cylinder, but never in a solid one. Moreover, the energy of the curling mode with large-angle deviations in the nonlinear region is always higher than that of the uniform mode. This suggests that at the nucleation field the initial saturated state cannot reverse through the curling mode to a new stable state.

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