Guest Charge and Potential Fluctuations in Two-Dimensional Classical Coulomb Systems
Statistical Mechanics
2008-04-08 v3
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.
Cite
@article{arxiv.0711.2243,
title = {Guest Charge and Potential Fluctuations in Two-Dimensional Classical Coulomb Systems},
author = {Bernard Jancovici and Ladislav Šamaj},
journal= {arXiv preprint arXiv:0711.2243},
year = {2008}
}
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