Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The 3D +-J Ising model at the ferromagnetic transition line   We study the critical behavior of the three-dimensional $\pm J$ Ising model
[with a random-exchange probability $P(J_{xy}) = p \delta(J_{xy} - J) + (1-p)
\delta(J_{xy} + J)$] at the transition line between the paramagnetic and
ferromagnetic phase, which extends from $p=1$ to a multicritical (Nishimori)
point at $p=p_N\approx 0.767$. By a finite-size scaling analysis of Monte Carlo
simulations at various values of $p$ in the region $p_N<p<1$, we provide strong
numerical evidence that the critical behavior along the ferromagnetic
transition line belongs to the same universality class as the three-dimensional
randomly-dilute Ising model. We obtain the results $\nu=0.682(3)$ and
$\eta=0.036(2)$ for the critical exponents, which are consistent with the
estimates $\nu=0.683(2)$ and $\eta=0.036(1)$ at the transition of
randomly-dilute Ising models.

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The categories of this paper are: math
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph