Study of phase-separation dynamics by use of cell dynamical systems. II. Two-dimensional demonstrations

We present detailed results on the form factors of two-dimensional systems undergoing phase-ordering processes, using both deterministic and stochastic cell dynamical systems. We show the robustness of the asymptotic form factors against quench depth, noise amplitude, etc. The effect of noise is essentially to delay the number of steps needed to reach the asymptotic behavior. In the case with a nonconserved order parameter, we demonstrate that the form factor obtained by T. Ohta, D. Jasnow, and K. Kawasaki [Phys. Rev. Lett. 49, 1223 (1982)] is asymptotically very accurate. We also present preliminary results for off-critical quenches.