Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kinetic theory and numerical simulations of two-species coagulation   In this work we study the stochastic process of two-species coagulation. This
process consists in the aggregation dynamics taking place in a ring. Particles
and clusters of particles are set in this ring and they can move either
clockwise or counterclockwise. They have a probability to aggregate forming
larger clusters when they collide with another particle or cluster. We study
the stochastic process both analytically and numerically. Analytically, we
derive a kinetic theory which approximately describes the process dynamics. One
of our strongest assumptions in this respect is the so called well-stirred
limit, that allows neglecting the appearance of spatial coordinates in the
theory, so this becomes effectively reduced to a zeroth dimensional model. We
determine the long time behavior of such a model, making emphasis in one
special case in which it displays self-similar solutions. In particular these
calculations answer the question of how the system gets ordered, with all
particles and clusters moving in the same direction, in the long time. We
compare our analytical results with direct numerical simulations of the
stochastic process and both corroborate its predictions and check its
limitations. In particular, we numerically confirm the ordering dynamics
predicted by the kinetic theory and explore properties of the realizations of
the stochastic process which are not accessible to our theoretical approach.

30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol