Abstract
Kawasaki spin-exchange dynamics is generalized to study ordering dynamics in the three-dimensional ferromagnetic Heisenberg model with a conserved vector order parameter. It is found, by using conventional temperature-quenching Monte Carlo simulations, that the generalized Kawasaki dynamics enables the system to reach thermodynamic equilibrium faster than the conventional Kawasaki dynamics does at lower temperatures, while both are similar at higher temperatures. With the generalized Kawasaki dynamics the domain size grows with time as ${\mathit{t}}^{1/4}$, in agreement with recent studies using Langevin-type dynamics. Evidence for the existence of spin waves is observed in the Monte Carlo simulations for the generalized Kawasaki dynamics. Its relation to domain growth is discussed.
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