Dynamical scaling of binary-fluid coarsening
= Dynamical scaling of binary-fluid coarsening
The dynamical-scaling hypothesis replaces all macroscopic lengths by one scale $L(t)$ and the characteristic velocity by $\dot L$. Then inertial, viscous, and capillary force densities scale respectively as $\rho\ddot L+\rho\dot L^2/L$, $\eta\dot L/L^2$, and $\sigma/L^2$.