Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phase Transitions in the 1-d Long-Range Diluted Heisenberg Spin Glass   We use Monte Carlo simulations to study the one-dimensional long-range
diluted Heisenberg spin glass with interactions that fall as a power, sigma, of
the distance. Varying the power is argued to be equivalent to varying the space
dimension of a short-range model. We are therefore able to study both the
mean-field and non-mean-field regimes. For one value of sigma, in the
non-mean-field regime, we find evidence that the chiral glass transition
temperature may be somewhat higher than the spin glass transition temperature.
For the other values of sigma we see no evidence for this.

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The categories of this paper are: nlin
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
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The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph