High-density properties of integral-equation theories of fluids: Universal analytic structure and details for the one-component plasma
- 1 March 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 33 (3), 2025-2042
- https://doi.org/10.1103/physreva.33.2025
Abstract
We study the analytic properties of the hypernetted-chain (HNC) and soft-mean-spherical (SMSA) theories in the asymptotic high-density limit (AHDL). The scaling properties of the inverse power potentials lead to the introduction of the SMSA-Ewald functions, which correspond to the ‘‘overlap-volume’’ functions for hard spheres. The HNC and SMSA theories for soft interactions, as well as the Percus-Yevick theory for hard spheres, feature the same AHDL analytic structure of the pair correlation functions, which is dictated by the hard-sphere Ewald functions. The general discussion is supplemented by detailed results for the one-component plasma. Implications to the analysis of the density-functional theory, of dense matter, near its exact Thomas-Fermi limit are pointed out.Keywords
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