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Asymptotic decay of pair correlations in a Yukawa fluid

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posted on 09.10.2014 by Paul Hopkins, Andrew Archer, Robert Evans
We analyze the r→∞ 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 monotonie 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. © 2005 The American Physical Society.

Funding

A.J.A. gratefully acknowledges the support of EPSRC under Grant No. GR/S28631/01.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volume

71

Issue

2

Citation

HOPKINS, P., ARCHER, A.J. and EVANS, R., 2005. Asymptotic decay of pair correlations in a Yukawa fluid. Physical Review E, 71 (2), 027401.

Publisher

© The American Physical Society

Version

VoR (Version of Record)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

2005

Notes

This article was published in the journal, Physical Review E [© The American Physical Society].

ISSN

1539-3755

eISSN

1550-2376

Language

en

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