Scaling Exponent for Coarsening in a 1D q-state system
Abstract
An exponent β which characterises non-equilibrium coarsening processes is calculated in a deterministic solvable model of coarsening for a 1D q-state Potts system. We study how the fraction of sites P which have never changed their state, scale with the characteristic domain length <>. β is defined by P <>β -1. We propose a new model of coarsening that prevents correlations from developing between domains thereby ensuring tractability and an exact result for any q.
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