Roughening/wetting transition in a growth model with adsorption and desorption

A one-dimensional growth model where particles are adsorbed with probabilit y PA and desorbed with probability P-D = exp(-nE/k(B)T), where n is the num ber of nearest-neighbors (NN), E is the NN interaction energy, Icg is the B oltzmann constant and T is the temperature, is presented and studied by mea ns of numerical simulations. It is shown that, at a given temperature, ther e is a critical adsorption probability (P-A(C)), such as the model displays a roughening/wetting transition between a smooth and a rough interface for P-A < P-A(C) and P-A greater than or equal to P-A(C), respectively. The fo rmer phase is bounded to the substratum while the later propagates at const ant velocity away from the substratum. The roughening phase diagram, i.e. a critical curve P-A(C) versus T, is evaluated and discussed.