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arXiv · cond-mat/9504079

Phase Ordering Kinetics with External Fields and Biased Initial Conditions

Abstract

The late-time phase-ordering kinetics of the O(n) model for a non-conserved order parameter are considered for the case where the O(n) symmetry is broken by the initial conditions or by an external field. An approximate theoretical approach, based on a `gaussian closure' scheme, is developed, and results are obtained for the time-dependence of the mean order parameter, the pair correlation function, the autocorrelation function, and the density of topological defects [e.g. domain walls ($n=1$), or vortices ($n=2$)]. The results are in qualitative agreement with experiments on nematic films and related numerical simulations on the two-dimensional XY model with biased initial conditions.

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J. A. N. Filipe, A. J. Bray, S. Puri. 1995-04-26. Phase Ordering Kinetics with External Fields and Biased Initial Conditions. https://doi.org/10.1103/physreve.52.6082

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