Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical phenomena at edges and corners   Using Monte Carlo techniques, the critical behaviour at edges and corners of
the three-dimensional Ising model is studied. In particular, the critical
exponent $\beta_2$ of the local magnetization at edges formed by two
intersecting free surfaces is estimated to be, as a function of the opening
angle $\theta$, $0.96 \pm 0.02$ for $\theta = 135^o$, $1.28 \pm 0.04$ for
$90^o$, and $2.30 \pm 0.10$ for $45^o$. The critical exponent $\beta_3$ of the
corner magnetization of a cube is found to be $1.86 \pm 0.06$. The Monte Carlo
estimates are compared to results of mean field theory, renormalization group
calculations and high temperature series expansions.

21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess