Comments on "State equation for the three-dimensional system of 'collapsing' hard spheres"
Andr\'es Santos
TL;DR
This paper critiques a recent claim of an exact solution for a hard sphere system with a step potential, demonstrating that the proposed solution conflicts with established limits of the Percus-Yevick equation.
Contribution
It provides a critical analysis showing the incompatibility of the claimed solution with known theoretical limits of the PY equation.
Findings
The proposed solution violates the low-density limit.
It contradicts the hard-sphere limit.
The critique clarifies the correct application of the PY equation.
Abstract
A recent paper [I. Klebanov et al. \emph{Mod. Phys. Lett. B} \textbf{22} (2008) 3153; arXiv:0712.0433] claims that the exact solution of the Percus-Yevick (PY) integral equation for a system of hard spheres plus a step potential is obtained. The aim of this paper is to show that Klebanov et al.'s result is incompatible with the PY equation since it violates two known cases: the low-density limit and the hard-sphere limit.
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