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

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

2007-11-14

arxiv.org/abs/0711.2243v3

J.Stat.Phys. 131, 613 (2008)

Physics

Condensed Matter

Statistical Mechanics

21 pages. Latex. Appendix moved, with changes, to new subsection 2.3. Description of the Appendix at the end of the Introducti

Scientific paper

10.1007/s10955-008-9515-1

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.

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