Charged particle layers in the Debye limit

Kenneth I. Golden, Gabor J. Kalman, and Stamatios Kyrkos
Phys. Rev. E 66, 031107 – Published 27 September 2002
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Abstract

We develop an equivalent of the Debye-Hückel weakly coupled equilibrium theory for layered classical charged particle systems composed of one single charged species. We consider the two most important configurations, the charged particle bilayer and the infinite superlattice. The approach is based on the link provided by the classical fluctuation-dissipation theorem between the random-phase approximation response functions and the Debye equilibrium pair correlation function. Layer-layer pair correlation functions, screened and polarization potentials, static structure functions, and static response functions are calculated. The importance of the perfect screening and compressibility sum rules in determining the overall behavior of the system, especially in the r limit, is emphasized. The similarities and differences between the quasi-two-dimensional bilayer and the quasi-three-dimensional superlattice are highlighted. An unexpected behavior that emerges from the analysis is that the screened potential, the correlations, and the screening charges carried by the individual layers exhibit a marked nonmonotonic dependence on the layer separation.

  • Received 23 May 2002

DOI:https://doi.org/10.1103/PhysRevE.66.031107

©2002 American Physical Society

Authors & Affiliations

Kenneth I. Golden*

  • Department of Mathematics and Statistics and Department of Physics, University of Vermont, Burlington, Vermont 05401-1455

Gabor J. Kalman and Stamatios Kyrkos

  • Department of Physics, Boston College, Chestnut Hill, Massachusetts 02467

  • *Electronic address: golden@emba.uvm.edu
  • Electronic address: kalman@bc.edu
  • Electronic address: kyrkos@bc.edu

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Vol. 66, Iss. 3 — September 2002

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