We perform molecular dynamics simulations of directional growth of a binary
alloy. We fix the temperature gradient, pulling speed, impurity concentrat
ion and only vary the impurity segregation coefficient, By changing the ran
ge of the Lennard Jones potential of impurity atoms as compared to the rang
e of the potential of solvent atoms, the elastic energy cost causes a decre
ases of solubility of the impurity atoms into the matrix (solvent) solid ph
ase and consequently a decrease in the impurity segregation coefficient. Wi
thin certain range of segregation coefficients, the growing interface is pl
anar; below it, the interface becomes unstable and a cellular structure eme
rges.