Scaling theory of three-dimensional spinodal turbulence

A scaling theory for spinodal decomposition in the inertial hydrodynamic re gime is presented. The scaling involves three relevant length scales, the d omain size, the Taylor microscale, and the Kolmogorov dissipation scale. Th is allows for the presence of an inertial "energy cascade," familiar from t heories of turbulence, and improves on earlier scaling treatments based on a single length: these, it is shown, cannot be reconciled with energy conse rvation. This theory reconciles the t(2/3) scaling of the domain size, pred icted by simple scaling, with the physical expectation of a saturating Reyn olds number at late times.