Bernard Jancovici, Ladislav Šamaj
Published 2007-11-14, updated 2008-04-08Version 3
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.
Comments: 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
Journal: J.Stat.Phys. 131, 613 (2008)
The Sixth-Moment Sum Rule For the Pair Correlations of the Two-Dimensional One-Component Plasma: Exact Result
Relations Among Two Methods for Computing the Partition Function of the Two-Dimensional One-Component Plasma
Fourth Moment of the Charge Density Induced Around A Guest Charge in Two-Dimensional Jellium
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