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Form invariance of the moment sum-rules for jellium with the addition of short-range terms in the pair-potential

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Abstract

We find the first three (even) structure factor moments for a (non-quantum) one-component Jellium made of particles living in three dimensions and interacting with a Coulomb pair-potential plus a short-range term with either a finite range or decaying exponentially fast at large distances. Starting from the hierarchical Born-Green-Yvon equations we show that they are all form invariant respect to the addition of the short-range term. We discuss the relevance of the present study to interpret the failure of the moment sum-rules of ionic-liquids at criticality.

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  1. Dipartimento di Fisica, Università di Trieste, Strada Costiera 11, 34151, Grignano (Trieste), Italy

    Riccardo Fantoni

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  1. Riccardo Fantoni
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Fantoni, R. Form invariance of the moment sum-rules for jellium with the addition of short-range terms in the pair-potential. Indian J Phys 95, 1027–1032 (2021). https://doi.org/10.1007/s12648-020-01750-2

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