Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coulomb Systems Seen as Critical Systems: Ideal Conductor Boundaries   The grand potential of a classical Coulomb system has universal finite-size
corrections similar to the ones which occur in the free energy of a simple
critical system : the massless Gaussian field. Here, the Coulomb system is
assumed to be confined by walls made of an ideal conductor material; this
choice corresponds to simple (Dirichlet) boundary conditions for the Gaussian
field. For a $d$-dimensional ($d>or=2$) Coulomb system confined in a slab of
thickness $W$, the grand potential (in units of $kT$) per unit area has the
universal term $Gamma(d/2) zeta(d)/2^d pi^{d/2}W^{d-1}$. For a two-dimensional
Coulomb system confined in a disk of radius $R$, the grand potential (in units
of $kT$) has the universal term $(1/6) ln R$. These results, of general
validity, are checked on two-dimensional solvable models.

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The categories of this paper are: atom-ph
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The categories of this paper are: cs
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ph