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Along with experiments, numerical simulations are key to gaining insight intothe underlying mechanisms governing domain wall motion in thin ferromagneticsystems. However, a direct comparison between numerical simulation of modelsystems and experimental results still represents a great challenge. Here, wepresent a tuned Ginzburg-Landau model to quantitatively study the dynamics ofdomain walls in quasi two-dimensional ferromagnetic systems with perpendicularmagnetic anisotropy. This model incorporates material and experimentalparameters and the micromagnetic prescription for thermal fluctuations,allowing us to perform material-specific simulations and at the same timerecover universal features. We show that our model quantitatively reproducesprevious experimental velocity-field data in the archetypal perpendicularmagnetic anisotropy Pt/Co/Pt ultra-thin films in the three dynamical regimes ofdomain wall motion (creep, depinning and flow). In addition, we present astatistical analysis of the domain wall width parameter, showing that our modelcan provide detailed nano-scale information while retaining the complexbehavior of a statistical disordered model.

Tuning Ginzburg-Landau theory to quantitatively study thin ferromagnetic materials