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Publication 12-CNA-006
Crossover of the Coarsening Rates in Demixing of Binary Viscous Liquids Felix Otto Christian Seis Dejan Slepčev Abstract: We consider a model for phase separation in binary viscous liquids that allows for material transport due to cross-diffusion of unlike particles and convection by the hydrodynamic bulk flow. Typically, during the evolution, the average size of domains of the pure phases increases with time --- a phenomenon called coarsening. Siggia predicts that at an initial stage, coarsening proceeds mainly by diffusion, which leads to the well-known evaporation-recondensation growth law $\ell \sim t^{1/3}$, when $\ell$ denotes the average domains size and $t$ denotes time. Furthermore, he argued that at a later stage, convection by the bulk flow becomes the dominant transport mechanism, leading to a crossover in the coarsening rates to $\ell \sim t$. Siggia's predictions have been confirmed by experiments and numerical simulations. Get the paper in its entirety as |
