Modeling line-edge roughness as an Ornstein-Uhlenbeck process in ferromagnetic racetracks produces stochastic pinning of current-driven domain walls, yielding sigmoidal depinning probabilities, nonlinear velocities, and ballistic-to-saturated mean-square displacements.
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Stochastic Dynamics of Domain Wall on a Racetrack: Impact of Line-Edge Roughness
Modeling line-edge roughness as an Ornstein-Uhlenbeck process in ferromagnetic racetracks produces stochastic pinning of current-driven domain walls, yielding sigmoidal depinning probabilities, nonlinear velocities, and ballistic-to-saturated mean-square displacements.