Guest Charge and Potential Fluctuations in Two-Dimensional Classical Coulomb Systems

Abstract

A known generalization of the Stillinger-Lovett sum rule for a guest charge immersed in a two-dimensional one-component plasma (the second moment of the screening cloud around this guest charge) is more simply retrieved, just by using the BGY hierarchy for a mixture of several species; the zeroth moment of the excess density around a guest charge immersed in a two-component plasma is also obtained. The moments of the electric potential are related to the excess chemical potential of a guest charge; explicit results are obtained in several special cases.

21 pages. Latex. Appendix moved, with changes, to new subsection 2.3. Description of the Appendix at the end of the Introduction, from an earlier version, deleted

References in corpus (6)

• Exact expectation values of local fields in quantum sine-Gordon model
• The statistical mechanics of the classical two-dimensional Coulomb gas is exactly solved
• The field theoretic derivation of the contact value theorem in planar geometries and its modification by the Casimir effect
• Anomalous Effects of "Guest" Charges Immersed in Electrolyte: Exact 2D Results
• A Generalization of the Stillinger-Lovett Sum Rules for the Two-Dimensional Jellium
• Microscopic Calculation of the Dielectric Susceptibility Tensor for Coulomb Fluids II

Cited by in corpus (5)

• Collective Field Theory for Quantum Hall States
• Expanded Vandermonde powers and sum rules for the two-dimensional one-component plasma
• Fourth moment sum rule for the charge correlations of a two-component classical plasma
• Sum rules for correlation functions of ionic mixtures in arbitrary dimension $d\ge 2$
• Fourth Moment of the Charge Density Induced Around A Guest Charge in Two-Dimensional Jellium