Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ensemble Equivalence for Counterion Condensation on a Two Dimensional
  Charged Disc   We study the counterion condensation on a two dimensional charged disc in the
limit of infinite dilution, and compare the energy-temperature relation
obtained from the canonical free energy and microcanonical entropy. The
microcanonical entropy is piecewise linear in energy, and is shown to be
concave for all energies. As a result, even though the interactions are
long-ranged, the energy-temperature relation and hence the counterion
condensation transition points are identical in both the ensembles.

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The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math
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: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
1
The categories of this paper are: cs