Sum rules for correlation functions of ionic mixtures in arbitrary dimension $d\ge 2$

Abstract

The correlations in classical multi-component ionic mixtures with spatial dimension $d\ge 2$ are studied by using a restricted grand-canonical ensemble and the associated hierarchy equations for the correlation functions. Sum rules for the first few moments of the two-particle correlation function are derived and their dependence on $d$ is established. By varying $d$ continuously near $d=2$ it is shown how the sum rules for the two-dimensional mixture are related to those for mixtures at higher $d$.

19 pages

References in corpus (2)

• A Generalization of the Stillinger-Lovett Sum Rules for the Two-Dimensional Jellium
• Guest Charge and Potential Fluctuations in Two-Dimensional Classical Coulomb Systems