Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exponents appearing in heterogeneous reaction-diffusion models in one
  dimension   We study the following 1D two-species reaction diffusion model : there is a
small concentration of B-particles with diffusion constant $D_B$ in an
homogenous background of W-particles with diffusion constant $D_W$; two
W-particles of the majority species either coagulate ($W+W \longrightarrow W$)
or annihilate ($W+W \longrightarrow \emptyset$) with the respective
probabilities $ p_c=(q-2)/(q-1) $ and $p_a=1/(q-1)$; a B-particle and a
W-particle annihilate ($W+B \longrightarrow \emptyset$) with probability 1. The
exponent $\theta(q,\lambda=D_B/D_W)$ describing the asymptotic time decay of
the minority B-species concentration can be viewed as a generalization of the
exponent of persistent spins in the zero-temperature Glauber dynamics of the 1D
$q$-state Potts model starting from a random initial condition : the
W-particles represent domain walls, and the exponent $\theta(q,\lambda)$
characterizes the time decay of the probability that a diffusive "spectator"
does not meet a domain wall up to time $t$. We extend the methods introduced by
Derrida, Hakim and Pasquier ({\em Phys. Rev. Lett.} {\bf 75} 751 (1995); Saclay
preprint T96/013, to appear in {\em J. Stat. Phys.} (1996)) for the problem of
persistent spins, to compute the exponent $\theta(q,\lambda)$ in perturbation
at first order in $(q-1)$ for arbitrary $\lambda$ and at first order in
$\lambda$ for arbitrary $q$.

23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin