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.

12 pages

References in corpus (5)

• Two-dimensional one-component plasma on a Flamm's paraboloid
• Two Component Plasma in a Flamm's Paraboloid
• The density of a fluid on a curved surface
• The moment sum-rules for ionic liquids at criticality
• Sum rules for correlation functions of ionic mixtures in arbitrary dimension $d\ge 2$

Cited by in corpus (4)

• One-component fermion plasma on a sphere at finite temperature. The anisotropy in the paths conformations
• Thermodynamic limit of the free electron gas on a circle
• Sum Rules in Quantum Liquids
• Static screening in a degenerate electron plasma