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.
In terms of loops, this means that the area enclosed by a loop may contain many other non-intersecting loops
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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.