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Magnetization correlations in thin film media in the presence of a written transition have been studied utilizing numerical micromagnetic simulation. Polycrystalline films are modeled by a hexagonal array of identical grains each with random anisotropy axis orientation. A transition is written in the medium and the positional variance, the stationary cross track correlation, and the nonstationary down track correlation functions are determined by suitable averaging over statistical ensembles.
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Bertram et al. (1993) studied this question.
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