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

Source: [Non-equilibrium Phase-Ordering with a Global Conservation Law](<https://www.sota2.com/research/paper/68fa24412c2a3760193a189f>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T09:00:16.554Z

Authors: A. D. Rutenberg

Published: 1996-03-09T19:04:27.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/9603070>)

[PDF](<https://arxiv.org/pdf/cond-mat/9603070.pdf>)