Ad. Rutenberg, NONEQUILIBRIUM PHASE ORDERING WITH A GLOBAL CONSERVATION LAW, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54(1), 1996, pp. 972-973
In all dimensions, infinite-range Kawasaki spin exchange in a quenched
Ising model leads to an asymptotic length scale L similar to(rho t)(1
/2)similar to t(1/3) at T=0 because the kinetic coefficient is renorma
lized by the broken-bond density, rho similar to L(-1). For T>0, activ
ated kinetics recovers the standard asymptotic growth law, L similar t
o t(1/2). However, at all temperature, infinite-range energy transport
is allowed by the spin-exchange dynamics. A better implementation of
global conservation, the microcanonical Creutz algorithm, is well beha
ved and exhibits the standard nonconserved growth law, L similar to t(
1/2), at all temperatures.