Creep dynamics below the depinning threshold are governed by a T-independent activation length ℓ_opt that controls time scales and an avalanche length ℓ_av ~ T^{-ν_dep} that controls spatial observables and selects among theoretical scenarios.
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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.
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Activation and Avalanche Length Scales in the Finite-Temperature Creep of an Elastic Interface
Creep dynamics below the depinning threshold are governed by a T-independent activation length ℓ_opt that controls time scales and an avalanche length ℓ_av ~ T^{-ν_dep} that controls spatial observables and selects among theoretical scenarios.
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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.