Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Replica Theory and Large D Josephson Junction Hypercubic Models   We study the statistical mechanics of a $D$-dimensional array of Josephson
junctions in presence of a magnetic field on a lattice of side $2$. In the high
temperature region the thermodynamical properties can be computed in the limit
$D \to \infty$. A conjectural form of the thermodynamic properties in the low
temperature phase is obtained by assuming that they are the same of an
appropriate spin glass system, based on quenched disordered couplings.
Numerical simulations show that this conjecture is very accurate in one regime
of the magnetic field, while it is probably slightly inaccurate in a second
regime.

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The categories of this paper are: nlin
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: physics