Scaling exponent for coarsening in a 1D q-state system

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