Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effect of weak disorder on the ground state of uniaxial dipolar spin
  systems in the upper critical dimension   Extensive Monte Carlo simulations are used to investigate the stability of
the ferromagnetic ground state in three-dimensional systems of Ising dipoles
with added quenched disorder. These systems model the collective ferromagnetic
order observed in various systems with dipolar long-range interactions. The
uniaxial dipolar spins are arranged on a face-centred cubic lattice with
periodic boundary conditions. Finite-size scaling relations for the pure
dipolar ferromagnetic system are derived by a renormalisation group
calculation. These functions include logarithmic corrections to the expected
mean field behaviour since the system is in its upper critical dimension.
Scaled data confirm the validity of the finite-size scaling description and
results are compared with subsequent analysis of weakly disordered systems. A
disorder-temperature phase diagram displays the preservation of the
ferromagnetic ground state with the addition of small amounts of disorder,
suggesting the irrelevance of weak disorder in these systems.

7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc