Asymptotic decay of pair correlations in a Yukawa fluid

Details Asymptotic decay of pair correlations in a Yukawa fluid Asymptotic decay of pair correlations in a Yukawa fluid

2005-12-16

arxiv.org/abs/cond-mat/0512391v1

Phys. Rev. E 71 027401-1 to 4 (2005)

Physics

Condensed Matter

Soft Condensed Matter

5 pages, 3 figures

Scientific paper

10.1103/PhysRevE.71.027401

We analyse the $r \to \infty$ 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: 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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