Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact solution of the Percus-Yevick integral equation for fluid mixtures
  of hard hyperspheres   Structural and thermodynamic properties of multicomponent hard-sphere fluids
at odd dimensions have recently been derived in the framework of the rational
function approximation (RFA) [Rohrmann and Santos, Phys. Rev. E \textbf{83},
011201 (2011)]. It is demonstrated here that the RFA technique yields the exact
solution of the Percus-Yevick (PY) closure to the Ornstein-Zernike (OZ)
equation for binary mixtures at arbitrary odd dimensions. The proof relies
mainly on the Fourier transforms $\hat{c}_{ij}(k)$ of the direct correlation
functions defined by the OZ relation. From the analysis of the poles of
$\hat{c}_{ij}(k)$ we show that the direct correlation functions evaluated by
the RFA method vanish outside the hard core, as required by the PY theory.

27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
2
The categories of this paper are: math
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys