Growth law dynamics in a phase separating fluid

From a molecular dynamics experiment of an unstable two-dimensional fluid undergoing phase separation, we observe two principal growth regimes; (1) spinodal decomposition with a wavelike morphology followed by (2) a transition to cluster formation and growth due to atomic condensation and cluster coagulation. In the second regime the growth law is t ^{1 2}. This dependence arises from the isothermal growth law for vapor accretion on two-dimensional clusters in a 'onerd component supersaturated vapor. The details of theoretical analysi that leads to t ^{1 2} growth law are presented.