The multitime-scaling rule for time correlation functions is shown in systems undergoing phase separation. With the use of multitime scaling, the asymptotic form of the structural function, S̃(x)∝$x^4$, at small scaled wave numbers x is shown in a late state of phase separation in the diffusional system. A numerical simulation is performed to examine the multitime scaling. We use a discretized Cahn-Hilliard equation with the Oono-Puri free energy. The chemical potential is not conserved at all and may satisfy multitime scaling in the late stage of phase separation. Hence the suggested $x^4$ law of the structure function is justified.

• Received 10 March 1989

DOI:https://doi.org/10.1103/PhysRevB.40.2341