Monte Carlo simulation of the dynamic evolution of binary lamellar eutectic in directional solidification

The dynamic evolution of the lamellar eutectic of binary alloys in directional solidification is studied in detail using the Monte Carlo technique. The simulated results can be summarized into two aspects: (1) the lamellar spacing \lambda is found to be inversely proportional to the chemical potential difference \Delta\mu, predicting a linear relationship between the kinetic supercooling \Delta T_\rm k and total supercooling at the solid/liquid (S/L) interface; (2) as the solidifying velocity R is low, the dynamic product \lambda^2R shows a considerable dependence on temperature gradient G_\rm T in the liquid in front of the S/L interface, although this dependence becomes much weaker at a high R.