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

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

2001-11-05

arxiv.org/abs/cond-mat/0111068v2

J.Phys A, 31 (1998) 5499

Physics

Condensed Matter

Statistical Mechanics

14 pages, LaTex, typos corrected, reference updated

Scientific paper

10.1088/0305-4470/31/25/003

An exponent $\beta$ 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 $<\ell>$. $\beta$ is defined by P \sim $<\ell>^{\beta -1}$. 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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