Adsorption on Fractal Surfaces: A Non Linear Modeling Approach of a Fractional Behavior

This article deals with the random sequential adsorption (RSA) of 2D disks same size on fractal surfaces a Hausdorff dimension 1<d<2. According to literature and confirmed by numerical simulations in paper, high coverage regime exhibits fractional dynamics, i.e., dynamics t−1/d where d is surface. The main contribution this paper that it proposes capture behavior particular class nonlinear model: driftless control affine model.