If growth is continuous (all adsorption sites equivalent), then a simple model can be used to relate growth velocity to undercooling. (During lateral growth, the velocity is expected to be slower, for a given undercooling, because there are fewer adsorption sites.)
An adsorption event is assumed to be similar to a normal diffusive jump in the liquid.

This is simulated schematically. When "Adsorb Molecule" is clicked. The advance velocity from adsorption events can be written as the product of jump distance, l*, vibration frequency, w₀, and the probability of making a diffusive jump   Account must also be taken of desorption events. These are less frequent (if the interface is undercooled) because of the larger energy barrier