A Monte Carlo Simulation of Roughness Development during the Dissolution of a Pure Solid

Abstract

Monte Carlo simulations in two‐dimensional lattices of models for random solid dissolution without diffusion control in the environment are presented. Models without surface diffusion lead to self‐affine fractal surfaces with kinetic exponents for interface evolution, and , as predicted by the Kardar, Parisi, and Zhang stochastic equation for interface motion. When surface diffusion is considered, the interface width does not evolve to saturation and shows a crossover from to , in agreement with the predictions of growth models using a complete surface diffusion equation. The solid dissolution rate decreases considerably as surface tension and surface diffusion are incorporated into the models.