Roughness and growth in a continuous fluid invasion model

The interface characteristics in a continuous fluid invasion model, first introduced by Cieplak and Robbins, were studied. The interface grows as a response to an applied quasistatic, which induces various types of instabilities, in this model. It was shown that the order of instability removal, in a fluid invasion model has a considerable impact on the interface roughness properties. A variant of the model, which differs from the original model by the order of instabilities treatment, was also suggested. The growth exponent was found to be around zero, due to the initial rough interface, in this model.