I am studying the solid-liquid interfaces. I created the solid-liquid coexistence system by combing solid part and liquid part with the same sectional areas together. Then the atoms in the solid were fixed, while the atoms in the liquid were allowed to move freely. The whole system reached equilibrium at a temperature above the melting point of the liquid. Then the system was slowly cooled down to a temperature below the melting point, which caused the liquid solidify. The problem was that the layers in the solidified structure as a whole move forward and backward in a plane parallel to the original solid-liquid interface. Why don't atoms in the solidified structure vibrate around their equilibrium sites? Why do they mainly move forward and backward along a particular direction?