Dynamical density functional theory and its application to spinodal decomposition

An alternative derivation of the dynamical density functional theory for the one-body density profile of a classical fluid was described. The dynamical density functional theory was also used to derive a theory for spinodal decomposition that is applicable at both early and intermediate times. It was assumed that as the particles interact, the momentum degrees of freedom equilibrate much faster than the positional degrees of freedom. The results show that the coupling leads to the growth of a second maximum in the density fluctuations at a wave number larger than that of the main peak.