Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-point correlation function in systems with van der Waals type
  interaction   The behavior of the bulk two-point correlation function $G({\bf r};T|d)$ in
$d$-dimensional system with van der Waals type interactions is investigated and
its consequences on the finite-size scaling properties of the susceptibility in
such finite systems with periodic boundary conditions is discussed within
mean-spherical model which is an example of Ornstein and Zernike type theory.
The interaction is supposed to decay at large distances $r$ as
$r^{-(d+\sigma)}$, with $2<d<4$, $2<\sigma<4$ and $d+\sigma \le 6$. It is shown
that $G({\bf r};T|d)$ decays as $r^{-(d-2)}$ for $1\ll r\ll \xi$, exponentially
for $\xi\ll r \ll r^*$, where $r^*=(\sigma-2)\xi \ln \xi$, and again in a power
law as $r^{-(d+\sigma)}$ for $r\gg r^*$. The analytical form of the
leading-order scaling function of $G({\bf r};T|d)$ in any of these regimes is
derived.

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The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: math
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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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: hep-th
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The categories of this paper are: cs