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Asymptotic decay of pair correlations in a Yukawa fluid

2005/02/23 by P. Hopkins, Paul Hopkins, A. J. Archer +3 · 5 citations
Chemistry · Materials Science · Physics and Astronomy · #Dust and Plasma Wave Phenomena #Electrostatics and Colloid Interactions #Material Dynamics and Properties #cond-mat.soft #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.71.027401

published as Phys. Rev. E 71 027401-1 to 4 (2005) · 5 pages, 3 figures

openalex publication_date 2005/02/23 · arxiv created 2005/12/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

We analyze the r-->infinity asymptotic decay of the total correlation function h (r) for a fluid composed of particles interacting via a (point) Yukawa pair potential. Such a potential provides a simple model for dusty plasmas. The asymptotic decay is determined by the poles of the liquid structure factor in the complex plane. We use the hypernetted-chain closure to the Ornstein-Zernike equation to determine the line in the phase diagram, well removed from the freezing transition line, where crossover occurs in the ultimate decay of h (r) , from monotonic to damped oscillatory. We show that (i) crossover takes place via the same mechanism (coalescence of imaginary poles) as in the classical one-component plasma and in other models of Coulomb fluids and (ii) leading-order pole contributions provide an accurate description of h (r) at intermediate distances r as well as at long range.

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