Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Turing instability in a model with two interacting Ising lines:
  hydrodynamic limit   This is the first of two articles on the study of a particle system model
that exhibits a Turing instability type effect. The model is based on two
discrete lines (or toruses) with Ising spins, that evolve according to a
continuous time Markov process defined in terms of macroscopic Kac potentials
and local interactions. For fixed time, we prove that the density fields weakly
converge to the solution of a system of partial differential equations
involving convolutions. The presence of local interactions results in the lack
of propagation of chaos, reason why the hydrodynamic limit cannot be obtained
from previous results.

25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con