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

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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Correspondence to 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 (2020). https://doi.org/10.1007/s12648-020-01750-2

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Keywords

  • Sum-rule
  • Multipolar sum-rule
  • Structure factor moments
  • Internal screening
  • External screening
  • One-component plasma
  • Jellium
  • Short-range interaction
  • PACS number
  • 05.70.Fh
  • 61.20.Qg
  • 64.60.F-
  • 64.70