Document Type
Article
Date of Original Version
2021
Department
Physics
Abstract
We present a 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 inhomogeneous 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.
Citation/Publisher Attribution
Bakhti, B. & Müller, G. (2021). Interacting hard-sphere fluids in an external field. Phys. Rev. E, 103(3), 032604. doi: 10.1103/PhysRevE.103.032604
Available at: https://doi.org/10.1103/PhysRevE.103.032604
Author Manuscript
This is a pre-publication author manuscript of the final, published article.
Terms of Use
This article is made available under the terms and conditions applicable
towards Open Access Policy Articles, as set forth in our Terms of Use.