Response to "Comment on the average potential of a Wigner solid"

Abstract

I give a counterexample to Kleinman's claim concerning certain two-dimensional of charge, I categorize according to equivalence six definitions (three from the literature) of average potential $〈\ensuremath{\Phi}〉$ and illustrate the results with the spherical (SWS) and regular (WS) Wigner solids, and I treat finite clusters and slabs of three-dimensional cells. Results for the SWS approach those for the WS in the limit of infinite SWS ball radius provided $〈\ensuremath{\Phi}〉$ is treated consistently in the two.