Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interacting hard-sphere fluids in an external field   We present a new method for studying equilibrium properties of interacting
fluids in an arbitrary external field. The fluid is composed of monodisperse
spherical particles with hard-core repulsion and additional interactions of
arbitrary shape and limited range. Our method of analysis is exact in one
dimension and provides demonstrably good approximations in higher dimensions.
It can cope with homogeneous and heterogeneous environments. We derive an
equation for the pair distribution function. The solution, to be evaluated
numerically, in general, or analytically for special cases, enters expressions
for the entropy and free energy functionals. For some one-dimensional systems,
our approach yields analytic solutions, reproducing available exact results
from different approaches.

9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph