Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thermodynamics for spatially inhomogeneous magnetization and Young-Gibbs
  measures   We derive thermodynamic functionals for spatially inhomogeneous magnetization
on a torus in the context of an Ising spin lattice model. We calculate the
corresponding free energy and pressure (by applying an appropriate external
field using a quadratic Kac potential) and show that they are related via a
modified Legendre transform. The local properties of the infinite volume Gibbs
measure, related to whether a macroscopic configuration is realized as a
homogeneous state or as a mixture of pure states, are also studied by
constructing the corresponding Young-Gibbs measures.

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The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: cs
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The categories of this paper are: dg-ga
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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: q-bio