Effect of surface roughening on liquid-solid interface velocity

The difference in density between liquid and solid is shown to be altered at the interface of a rough surface. Since it has been argued previously by author that density difference plays a major role in interface velocity, I conclude that the rough (100) surface of silicon can have both a larger slope and less asymmetry in the freezing-melting velocity versus temperature relation than does the smooth (111) surface. This may provide partial explanation for some recent experimental results and apparent controversy.