Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Renormalization of Hard-Core Guest Charges Immersed in Two-Dimensional
  Electrolyte   This paper is a continuation of a previous one [L. {\v{S}}amaj, {\it J. Stat.
Phys.} {\bf 120}:125 (2005)] dealing with the renormalization of a guest charge
immersed in a two-dimensional logarithmic Coulomb gas of pointlike $\pm$ unit
charges, the latter system being in the stability-against-collapse regime of
reduced inverse temperatures $0\le \beta <2$. In the previous work, using a
sine-Gordon representation of the Coulomb gas, an exact renormalized-charge
formula was derived for the special case of the {\em pointlike} guest charge
$Q$, in its stability regime $\beta | Q| < 2$. In the present paper, we extend
the renormalized-charge treatment to the guest charge with a hard core of
radius $\sigma$, which allows us to go beyond the stability border $\beta| Q| =
2$. In the limit of the hard-core radius much smaller than the correlation
length of the Coulomb-gas species and at a strictly finite temperature, due to
the counterion condensation in the extended region $\beta| Q| >2$, the
renormalized charge $Q_{\rm ren}$ turns out to be a periodic function of the
bare charge $Q$ with period 1. The renormalized charge therefore does not
saturate at a specific finite value as $| Q| \to\infty$, but oscillates between
two extreme values. In the high-temperature Poisson-Boltzmann scaling regime of
limits $\beta\to 0$ and $Q\to\infty$ with the product $\beta Q$ being finite,
one reproduces correctly the monotonic dependence of $\beta Q_{\rm ren}$ on
$\beta Q$ in the guest-charge stability region $\beta| Q| <2$ and the
Manning-Oosawa type of counterion condensation with the uniform saturation of
$\beta Q_{\rm ren}$ at the value $4/\pi$ in the region $\beta| Q|\ge 2$.

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The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
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The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
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The categories of this paper are: eess
25
The categories of this paper are: patt-sol
0
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: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph