Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An extension of the Ising-Curie-Weiss model of self-organized
  criticality with long range interactions   In [CG16], Cerf and Gorny constructed a model of self-organized criticality,
by introducing an automatic control of the temperature parameter in the
generalized Ising Curie-Weiss model. In this article, we build upon this model
by replacing the mean-field interaction of [CG16] with a one-dimensional
interaction with a certain range d(n) which varies as a function of the number
n of particles. In the Gaussian case, we show that, for a very long range of
interaction (d(n) of order n), the model exhibits the same behaviour as in the
mean-field case, whereas in the case of a nearest neighbour interaction (d(n) =
1), the behaviour highlighted by Cerf and Gorny breaks out.

13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg