Roughening, deroughening, and nonuniversal scaling of the interface width in electrophoretic deposition of polymer chains

Growth and roughness of the interface of deposited polymer chains driven by a field onto an impenetrable adsorbing surface are studied by computer simulations in (2+1) dimensions. The evolution of the interface width W shows a crossover from short-time growth described by the exponent beta1 to a long-time growth with exponent beta2 (>beta1). The saturated width increases, i.e., the interface roughens, with the molecular weight Lc, but the roughness exponent alpha (from Ws~L^alpha) becomes negative in contrast to models for particle deposition; alpha depends on the chain length–a nonuniversal scaling with the substrate length L. Roughening and deroughening occur as the field E and the temperature T compete such that Ws=(A+BT)E^-1/2.