Abstract
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.
Highlights
Fractal Fract. 2021, 5, 65 property is in accordance with the analysis proposed in [19,20], which leads the author of [20] to claim that a kinetic in tν on space of dimension 1 produces a kinetic in tν/d on space of dimension d
This article deals with the random sequential adsorption (RSA) of 2D disks on a fractal surface
Random sequential adsorption on fractal surfaces is considered in this paper
Summary
2021, 5, 65 property is in accordance with the analysis proposed in [19,20], which leads the author of [20] to claim that a kinetic in tν on space of dimension 1 produces a kinetic in tν/d on space of dimension d This is precisely what we observe with the RSA process whose kinetic of free places density for the high coverage regime exhibits a t−1 behavior in 1D [21]. Two models are proposed: a simple one which is proved analytically to produce a fractional dynamic behavior and a more complex and accurate one The accuracy of the latter model was assessed via numerical simulations on three types of fractal surfaces
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