Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Structure Factor of the 3D Random Field XY Model   We have performed Monte Carlo studies of the 3D random field XY model on $L
\times L \times L$ simple cubic lattices, with random field strengths of $h_r$
= 1 and 2. We present results for the angle-averaged magnetic structure factor,
$S (k)$ at $L = 64$. Our results appear to indicate a phase transition into a
ferromagnetic state. This is made possible by the existence of a Griffiths
singularity. It appears that at the phase transition $M^2$ jumps to zero
discontinuously, with a latent heat which is probably subextensive.

19
The categories of this paper are: eess
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph