Approximate direct correlation function for multi-Yukawa hard-core systems
E.E. Tareyeva, V.N. Ryzhov
TL;DR
This paper presents a simple analytical approximation for the direct correlation function in multi-Yukawa hard-core systems, solving the Ornstein-Zernike equation with a linear correction approach.
Contribution
It introduces a new closed-form analytical expression for the DCF in multi-Yukawa systems, valid within a linear approximation of the potential.
Findings
Provides a practical analytical form for the DCF
Validates the approximation within the linear regime
Facilitates easier computation of correlation functions
Abstract
Simple closed analytical expression for approximate direct correlation function (DCF) for multi--Yukawa hard--core system of particles is presented. The obtained DCF is a solution of the Ornstein--Zernike equation with multi--Yukawa closure valid in the linear approximation in the potential. This approximation includes linear corrections to the hard-- sphere DCF inside the core radius.
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Taxonomy
TopicsQuantum, superfluid, helium dynamics · Theoretical and Computational Physics · Quantum and electron transport phenomena