Cell dynamical system study of phase separation dynamics

A cell dynamical system (CDS) is defined by a map which takes a configuration on a lattice at a time t to a configuration at time t + 1. Phase-ordering dynamics, block copolymers etc. have been modeled in terms of CDS. With the phase-ordering dynamics model, the scaling exponent (and the universal function) for the form factor in the scaling regime and the effect of noise on these have been studied. It is clearly observed that, for the ordering process in the (critically quenched) conserved order parameter case, the scaling exponent crosses over from ~ 0.28 to ~ 0.33. This crossover is delayed with the introduction of noise, with larger amplitudes of noise causing a greater delay.