Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Translation Symmetry Breaking in the One-Component Plasma on the
  Cylinder   The two-dimensional one-component plasma, i.e. the system of point-like
charged particles embedded in a homogeneous neutralizing background, is studied
on the surface of a cylinder of finite circumference, or equivalently in a
semiperiodic strip of finite width. The model has been solved exactly by
Choquard et al. at the free-fermion coupling $\Gamma=2$: in the thermodynamic
limit of an infinitely long strip, the particle density turns out to be a
nonconstant periodic function in space and the system exhibits long-range order
of the Wigner-crystal type. The aim of this paper is to describe, qualitatively
as well as quantitatively, the crystalline state for a larger set of couplings
$\Gamma=2\gamma$ ($\gamma=1,2,...$ a positive integer) when the plasma is
mappable onto a one-dimensional fermionic theory. The fermionic formalism,
supplemented by some periodicity assumptions, reveals that the density profile
results from a hierarchy of Gaussians with a uniform variance but with
different amplitudes. The number and spatial positions of these Gaussians
within an elementary cell depend on the particular value of $\gamma$. Analytic
results are supported by the exact solution at $\gamma=1$ ($\Gamma=2$) and by
exact finite-size calculations at $\gamma=2,3$.

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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: stat
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The categories of this paper are: math
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph