Abstract:In this paper, we perform a detailed study of the scaling properties of a ferromagnetic thin film model. Recently, interest has increased in the scaling properties of the magnetic domain wall (MDW) motion in disordered media when an external driving field is present. We consider a (1+1)-dimensional model, based on evolution rules, able to describe the MDW avalanches. The global interface width of this model shows Family-Vicsek scaling with roughness exponent ζ ≃ 1.585 and growth exponent β ≃ 0.975. In contrast… Show more
“…There have been theoretical efforts with the quenched Edwards-Wilkinson (QEW) equation and the Monte Carlo simulation, to understand the depinning phase transition of the domain-wall motion [15][16][17][18][19][20][21]. The QEW equation is a simple phenomenological model, where a domain wall is considered to be an elastic string, and detailed microscopic structures and interactions of the materials are not concerned.…”
The dynamic pinning effects induced by quenched disorder are significant in manipulating the domain-wall motion in nano-magnetic materials. Through numerical simulations of the nonstationary domain-wall dynamics with the Landau-Lifshitz-Gilbert equation, we confidently detect a dynamic depinning phase transition in a magnetic thin film with anisotropy, which is of second order. The transition field, static and dynamic exponents are accurately determined, based on the dynamic scaling behavior far from stationary.
“…There have been theoretical efforts with the quenched Edwards-Wilkinson (QEW) equation and the Monte Carlo simulation, to understand the depinning phase transition of the domain-wall motion [15][16][17][18][19][20][21]. The QEW equation is a simple phenomenological model, where a domain wall is considered to be an elastic string, and detailed microscopic structures and interactions of the materials are not concerned.…”
The dynamic pinning effects induced by quenched disorder are significant in manipulating the domain-wall motion in nano-magnetic materials. Through numerical simulations of the nonstationary domain-wall dynamics with the Landau-Lifshitz-Gilbert equation, we confidently detect a dynamic depinning phase transition in a magnetic thin film with anisotropy, which is of second order. The transition field, static and dynamic exponents are accurately determined, based on the dynamic scaling behavior far from stationary.
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