Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The effect of exclusion on nonlinear reaction diffusion system in
  inhomogeneous media   We study a minimal model to understand the formation of clusters on surfaces
in the presence of surface defects. We consider reaction diffusion model in
which atoms undergoes reactions at the defect centers to form clusters. Volume
exclusion between particles is introduced through a drift term in the reaction
diffusion equation that arises due the repulsive force field produced by the
clustering atoms. The volume exclusion terms can be derived from master
equation with a concentration dependent hopping rate. Perturbative analysis is
performed for both cross-exclusion and self-exclusion one dimensional system.
For two dimension numerical analysis is performed. We have found that the
clusterization process slows down due to exclusion. As a result the size of the
clusters reduces. In this model reaction scheme has algebraic nonlinearity and
plausible mechanism is also given.

30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an