Non-equilibrium Phase-Ordering with a Global Conservation Law

Details Non-equilibrium Phase-Ordering with a Global Conservation Law Non-equilibrium Phase-Ordering with a Global Conservation Law

1996-03-09

arxiv.org/abs/cond-mat/9603070v1

Phys. Rev. E v 54, p 972 (1996).

Physics

Condensed Matter

2 pages and 2 figures, uses epsf.sty

Scientific paper

10.1103/PhysRevE.54.972

In all dimensions, infinite-range Kawasaki spin exchange in a quenched Ising model leads to an asymptotic length-scale $L \sim (\rho t)^{1/2} \sim t^{1/3}$ at $T=0$ because the kinetic coefficient is renormalized by the broken-bond density, $\rho \sim L^{-1}$. For $T>0$, activated kinetics recovers the standard asymptotic growth-law, $L \sim t^{1/2}$. However, at all temperatures, infinite-range energy-transport is allowed by the spin-exchange dynamics. A better implementation of global conservation, the microcanonical Creutz algorithm, is well behaved and exhibits the standard non-conserved growth law, $L \sim t^{1/2}$, at all temperatures.

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