Large Wave Number Features of Form Factors for Phase Transition Kinetics

Porod’s law and Tomita’s sum rule are two universal features expected for form factors of systems undergoing phase ordering processes, but have never been conclusively observed in numerical experiments. We demonstrate the drastic effect of finite thickness of interfaces on these asymptotic laws. Our results strongly suggest that the form factor obtained by Ohta, Jasnow and Kawasaki is asymptotically accurate, if not exact.