Journal
JOURNAL OF CHEMICAL PHYSICS
Volume 130, Issue 9, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/1.3078492
Keywords
statistical mechanics; surface charging
Funding
- National Science Foundation [PHY05-51164]
- Institut Universtaire de France
- Agency for Research and Development of Slovenia [P1-0055C, Z1-7171, L2-7080]
- Intramural Research Program of the NIH
- National Institute of Child Health and Human Development
- STFC [ST/G000581/1] Funding Source: UKRI
- Science and Technology Facilities Council [ST/G000581/1] Funding Source: researchfish
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We evaluate exactly the statistical integral for an inhomogeneous one-dimensional (1D) 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 to the limiting cases of weak and strong couplings which are the same for 1D and three-dimensional (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.
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