Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The asymptotic behaviour of the initially separated A + B(static) -> 0
  reaction-diffusion systems   We examine the long-time behaviour of A+B \to 0 reaction-diffusion systems
with initially separated species A and B. All of our analysis is carried out
for arbitrary (positive) values of the diffusion constant D_A of particles A
and initial concentrations a_0 and b_0 of A's and B's. We derive general
formulae for the location of the reaction zone centre, the total reaction rate,
and the concentration profile of species A outside the reaction zone. The
general properties of the reaction zone are studied with a help of the scaling
ansatz. Using the mean-field approximation we find the functional forms of
`tails' of the reaction rate R and the dependence of the width of the reaction
zone on the external parameters of the system. We also study the change in the
kinetics of the system with D_B > 0 in the limit D_B \to 0. Our results are
supported by numerical solutions of the mean-field reaction-diffusion equation.

12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics