Scaling Exponent for Coarsening in a 1D q-state system
arXiv:cond-mat/0111068 · doi:10.1088/0305-4470/31/25/003
Abstract
An exponent 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 . is defined by P \sim . We propose a new model of coarsening that prevents correlations from developing between domains thereby ensuring tractability and an exact result for any q.
14 pages, LaTex, typos corrected, reference updated