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Scaling Exponent for Coarsening in a 1D q-state system

Ajay Gopinathan
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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 $<\ell>$. $β$ is defined by P \sim $<\ell>^{β-1}$. 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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Ajay Gopinathan. 2001-11-12. Scaling Exponent for Coarsening in a 1D q-state system. https://doi.org/10.1088/0305-4470%2F31%2F25%2F003

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