Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Study of a long range perturbation of a one-dimensional Kac model   We consider a one dimensional ferromagnetic Ising spin system with
interactions that correspond to a $1/r^2$ long range perturbation of the usual
Kac model. We apply a coarse graining procedure, widely used for
higher-dimensional finite range Kac potentials, to describe the basic
properties of the system and the relation with the mean field theory.

34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn