Adsorption on Fractal Surfaces: A Non Linear Modeling Approach of a Fractional Behavior
Language
EN
Article de revue
This item was published in
Fractal and Fractional. 2021-07-10p. 65
English Abstract
This article deals with the Random Sequential Adsorption (RSA) of 2D disks of same size on fractal surfaces with Hausdorff dimension $$1<d<2$$1<d<2. According to literature and confirmed by numerical simulations in the ...Read more >
This article deals with the Random Sequential Adsorption (RSA) of 2D disks of same size on fractal surfaces with Hausdorff dimension $$1<d<2$$1<d<2. According to literature and confirmed by numerical simulations in the paper, the high coverage regime exhibits fractional dynamics, i.e. dynamics in $$t^{-1/d}$$t-1/dwhere d is the fractal dimension of the surface. As main contribution, this paper proposes to capture this behavior with a particular class of nonlinear model: a driftless control affine model.Read less <
Keywords
Fractional behavior
Fractal
Adsorption
RSA
Non-linear models
Fractional models