Charge Correlations in a Coulomb System Along a Plane Wall: a Relation Between Asymptotic Behavior and Dipole Moment
Abstract
Classical Coulomb systems at equilibrium, bounded by a plane dielectric wall, are studied. A general twopoint charge correlation function is considered. Valid for any fixed position of one of the points, a new relation is found between the algebraic tail of the correlation function along the wall and the dipole moment of that function. The relation is tested first in the weakcoupling (DebyeHückel) limit, and afterwards, for the special case of a plain hard wall, on the exactly solvable twodimensional twocomponent plasma at coupling $\Gamma=2$, and on the twodimensional onecomponent plasma at an arbitrary even integer $\Gamma$.
 Publication:

arXiv eprints
 Pub Date:
 February 2001
 arXiv:
 arXiv:condmat/0102491
 Bibcode:
 2001cond.mat..2491J
 Keywords:

 Condensed Matter  Statistical Mechanics
 EPrint:
 17 pages, Latex, to be published in J. Stat. Phys