Non-equilibrium Phase-Ordering with a Global Conservation Law

Abstract

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.

2 pages and 2 figures, uses epsf.sty

References in corpus (3)

• Theory of Phase Ordering Kinetics
• Coarsening in the q-State Potts Model and the Ising Model with Globally Conserved Magnetization
• Comment on ``Theory of Spinodal Decomposition''

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• Area-preserving dynamics of a long slender finger by curvature: a test case for the globally conserved phase ordering
• Non-local conservation in the coupling field: effect on critical dynamics
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• Complex phase-ordering of the one-dimensional Heisenberg model with conserved order parameter
• Relaxation dynamics and finite-size effects in a simple model of condensation
• Driven diffusive system with non-local perturbations