Abstract
We study two models for the depinning of a two-dimensional interface by finite external forces from a three-dimensional potential in the context of spin systems. This type of model is motivated by an attempt to understand better the pinning of domain walls in magnets and represents a new direction in the study of the pinning of walls. A simple analytic model is proposed that provides for a semi-quantitative interpretation of results from Monte Carlo simulations. The optimization of the depinning field at a finite temperature involves a compromise between the cell boundary width and the cell pinning strength.
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