Crossover from compact to branched films in electrodeposition with surface diffusion.

摘要: We study a model for thin film electrodeposition in which instability development by preferential adsorption and reduction of cations at surface peaks competes with relaxation diffusion the adsorbates. The considers moving supported electrolyte, when they reach surface, consequent production mobile particles that execute activated diffusion, is represented sequence random hops to neighboring lattice sites maximum $G$ hop attempts ($G\ensuremath{\gg}1$), detachment probability $\ensuremath{\epsilon}l1$ per particle, no-desorption condition. Computer simulations show formation compact wetting layer followed growth branched deposits. maximal thickness ${z}_{c}$ increases but weakly affected $\ensuremath{\epsilon}$. A scaling approach describes crossover from smooth unstable predicts ${z}_{c}\ensuremath{\sim}{G}^{\ensuremath{\gamma}}$, $\ensuremath{\gamma}=1/\left[2\left(1\ensuremath{-}\ensuremath{\nu}\right)\right]\ensuremath{\approx}0.43$, where $\ensuremath{\nu}\ensuremath{\approx}0.30$ inverse dynamical exponent Villain-Lai-Das Sarma equation initial roughening. Using previous results related deposition models, can be predicted as function an activation energy terrace temperature, small effects parameter $\ensuremath{\epsilon}$ are justified. These predictions confirmed numerical good accuracy. discuss possible applications, particular focus on multifuncional structures stacking layers different porosity.