Derives area-perimeter dynamical equations for domain-wall loops and shows quantized relaxation rates of spontaneous magnetization with discrete jumps at loop collapses or interactions.
The cut-off size of creep events grows asL opt ∼L d(Hd/H) ν with the applied fieldH, and the associated barrier scale asU opt ∼L θ opt ∼H −θν =H −µ
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Geometric flow of planar domain-wall loops
Derives area-perimeter dynamical equations for domain-wall loops and shows quantized relaxation rates of spontaneous magnetization with discrete jumps at loop collapses or interactions.