Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Small clusters Renormalization Group in 2D and 3D Ising and BEG models
  with ferro, antiferro and quenched disordered magnetic interactions   The Ising and BEG models critical behavior is analyzed in 2D and 3D by means
of a renormalization group scheme on small clusters made of a few lattice
cells. Different kinds of cells are proposed for both ordered and disordered
model cases. In particular, cells preserving a possible antiferromagnetic
ordering under decimation allow for the determination of the N\'eel critical
point and its scaling indices. These also provide more reliable estimates of
the Curie fixed point than those obtained using cells preserving only the
ferromagnetic ordering. In all studied dimensions, the present procedure does
not yield the strong disorder critical point corresponding to the transition to
the spin-glass phase. This limitation is thoroughly analyzed and motivated.

28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol