Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fractal kinetics versus fractional derivative kinetics   This study presents a detailed comparison of the two most popular fractal
theories used in the field of kinetics sorption of pollutants in porous
materials: the Brouers-Sotolongo model family of kinetics based on the BurrXII
statistical distribution and the fractional kinetics based on the
Riemann-Liouville fractional derivative theory. Using the experimental kinetics
data of several studies published recently, it can be concluded that, although
these two models both yield very similar results, the Brouers-Sotolongo model
is easier to use due to its simpler formal expression and because it enjoys all
the properties of a well-known family of distribution functions. We use the
opportunity of this study to comment on the information, in particular, the
sorption strength, the half-life time, and the time dependent rate, which can
be drawn from a complete analysis of measured kinetics using a fractal model.
This is of importance to characterize and classify sorbent-sorbate couples for
practical applications. Finally, a generalization form of the Brouers-Sotolongo
equation is presented by introducing a time dependent fractal exponent. This
improvement, which has a physical meaning, is necessary in some cases to obtain
a good fit of the experimental data.

31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg