Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-01-08
Journal of Chemical Physics 130, 094504 (2009)
Physics
Condensed Matter
Statistical Mechanics
16 pages RevTex, 1 .eps figure
Scientific paper
10.1063/1.3078492
We evaluate exactly the statistical integral for an inhomogeneous one-dimensional counterion-only Coulomb gas between two charged boundaries and from this compute the effective interaction, or disjoining pressure, between the bounding surfaces. Our exact results are compared with the limiting cases of weak and strong coupling which are the same for 1D and 3D systems. For systems with a large number of counterions it is found that the weak coupling (mean-field) approximation for the disjoining pressure works perfectly and that fluctuations around the mean-field in 1D are much smaller than in 3D. In the case of few counterions it works less well and strong coupling approximation performs much better as it takes into account properly the discreteness of the counterion charges.
Dean David S.
Horgan Ronald R.
Naji Ali
Podgornik Rudolf
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