Coercivity landscape in driven stochastic φ⁴ and Curie-Weiss models shows a plateau at v_P with H_P; scalings are H_c ~ v_H below, H_c ~ v_H^{1/2} in fast driving, and H_c - H_P ~ (v_H - v_P)^{2/3} post-plateau, with universal slow-driving behavior except in fast regime.
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In the stochastic φ⁴ model, coercivity exhibits v_H scaling, a plateau at the first-order transition field H*, then v_H^{1/2} scaling, with finite-size scalings v_P ~ σ² and (H* - H_P) ~ σ^{4/3} from renormalization-group theory.
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Finite-time and Finite-size scalings of coercivity in dynamic hysteresis
Coercivity landscape in driven stochastic φ⁴ and Curie-Weiss models shows a plateau at v_P with H_P; scalings are H_c ~ v_H below, H_c ~ v_H^{1/2} in fast driving, and H_c - H_P ~ (v_H - v_P)^{2/3} post-plateau, with universal slow-driving behavior except in fast regime.
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Coercivity Landscape Characterizes Dynamic Hysteresis
In the stochastic φ⁴ model, coercivity exhibits v_H scaling, a plateau at the first-order transition field H*, then v_H^{1/2} scaling, with finite-size scalings v_P ~ σ² and (H* - H_P) ~ σ^{4/3} from renormalization-group theory.