Adsorption on Fractal Surfaces: A Non Linear Modeling Approach of a Fractional Behavior
Keyword(s):
This article deals with the random sequential adsorption (RSA) of 2D disks of the same size on fractal surfaces with a Hausdorff dimension 1<d<2. According to the literature and confirmed by numerical simulations in the paper, the high coverage regime exhibits fractional dynamics, i.e., dynamics in t−1/d where d is the fractal dimension of the surface. The main contribution this paper is that it proposes to capture this behavior with a particular class of nonlinear model: a driftless control affine model.
1993 ◽
Vol 71
(5-6)
◽
pp. 1201-1211
◽
2002 ◽
Vol 14
(46)
◽
pp. 12119-12127
◽
Keyword(s):
1992 ◽
Vol 18
(4)
◽
pp. 297-300
◽