English

A Singularity in the First-order PY Equation for a Square Well Fluid

Chemical Physics 2008-07-21 v1

Abstract

It is shown that a nearest nieghbor Square Well (SW) potential leads to singular behavior in first order. A solution of the first-order perturbative PY equation for an attractive nearest neighbor square well of width less than the core diameter reveals singular behavior. Neither the width of the well nor the depth of the well affects the location of the singularity in the inverse isothermal compressibility. The analysis is carried out in one dimension.

Cite

@article{arxiv.0807.2878,
  title  = {A Singularity in the First-order PY Equation for a Square Well Fluid},
  author = {Sheldon Shanack and Rodney Varley},
  journal= {arXiv preprint arXiv:0807.2878},
  year   = {2008}
}

Comments

15 pages, 4 figures

R2 v1 2026-06-21T11:01:57.848Z