Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic modeling of non-linear adsorption with Gaussian kernel
  density estimators   Adsorption is a relevant process in many fields, such as product
manufacturing or pollution remediation in porous materials. Adsorption takes
place at the molecular scale, amenable to be modeled by Lagrangian numerical
methods. We have proposed a chemical diffusion-reaction model for the
simulation of adsorption, based on the combination of a random walk particle
tracking method involving the use of Gaussian Kernel Density Estimators. The
main feature of the proposed model is that it can effectively reproduce the
nonlinear behavior characteristic of the Langmuir and Freundlich isotherms. In
the former, it is enough to add a finite number of sorption sites of
homogeneous sorption properties, and to set the process as the combination of
the forward and the backward reactions, each one of them with a prespecified
reaction rate. To model the Freundlich isotherm instead, typical of low to
intermediate range of solute concentrations, there is a need to assign a
different equilibrium constant to each specific sorption site, provided they
are all drawn from a truncated power-law distribution. Both nonlinear models
can be combined in a single framework to obtain a typical observed behavior for
a wide range of concentration values.

11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc