Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Absence of Dipole Glass Transition for Randomly Dilute Classical Ising
  Dipoles   Dilute dipolar systems in three dimensions are expected to undergo a spin
glass transition as the temperature decreases. Contrary to this, we find from
Wang-Landau Monte Carlo simulations that at low concentrations $x$, dipoles
randomly placed on a cubic lattice with dipolar interactions do not undergo a
phase transition. We find that in the thermodynamic limit the ``glass''
transition temperature $T_g$ goes to zero as $1/\sqrt{N}$ where $N$ is the
number of dipoles. The entropy per particle at low temperatures is larger for
lower concentrations ($x=4.5%$) than for higher concentrations ($x=20%$).

11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph