The one-component plasma: a conceptual approach

Abstract

The one-component plasma (OCP) represents the simplest statistical mechanical model of a Coulomb system. For this reason, it has been extensively studied over the last forty years. The advent of the integral equations has resulted in a dramatic improvement in our ability to carry out numerical calculations, but came at the expense of a physical insight gained in a simpler analytic theory. In this paper we present an extension of the Debye-Hueckel (DH) theory to the OCP. The theory allows for analytic calculations of all the thermodynamic functions, as well as the structure factor. The theory explicitly satisfies the Stillinger-Lovett and, for small couplings, the compressibility sum rules, implying its internal self consistency.

28 pages, 5 Postscript figures, uses elsart.sty, accepted for publication in Physica A

References in corpus (3)

• Liquid-state theory of charged colloids
• Charge Oscillations in Debye-Hueckel Theory
• Debye-Hueckel-Bjerrum theory for charged colloids

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