Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exactly solvable model of reactions on a random catalytic chain   In this paper we study a catalytically-activated A + A \to 0 reaction taking
place on a one-dimensional regular lattice which is brought in contact with a
reservoir of A particles. The A particles have a hard-core and undergo
continuous exchanges with the reservoir, adsorbing onto the lattice or
desorbing back to the reservoir. Some lattice sites possess special, catalytic
properties, which induce an immediate reaction between two neighboring A
particles as soon as at least one of them lands onto a catalytic site. We
consider three situations for the spatial placement of the catalytic sites:
regular, annealed random and quenched random. For all these cases we derive
exact results for the partition function, and the disorder-averaged pressure
per lattice site. We also present exact asymptotic results for the particles'
mean density and the system's compressibility. The model studied here furnishes
another example of a 1D Ising-type system with random multisite interactions
which admits an exact solution.

27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th