Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
1999-12-06
Phys. Rev. E 61, 1634 (2000).
Physics
Condensed Matter
Soft Condensed Matter
22 pages, 12 figures, accepted in Physical Review E
Scientific paper
10.1103/PhysRevE.61.1634
Swollen stacks of finite-size disc-like Laponite clay platelets are investigated within a Wigner-Seitz cell model. Each cell is a cylinder containing a coaxial platelet at its centre, together with an overall charge-neutral distribution of microscopic co and counterions, within a primitive model description. The non-linear Poisson-Boltzmann (PB) equation for the electrostatic potential profile is solved numerically within a highly efficient Green's function formulation. Previous predictions of linearised Poisson-Boltzmann (LPB) theory are confirmed at a qualitative level, but large quantitative differences between PB and LPB theories are found at physically relevant values of the charge carried by the platelets. A hybrid theory treating edge effect at the linearised level yields good potential profiles. The force between two coaxial platelets, calculated within PB theory, is an order of magnitude smaller than predicted by LPB theory
de Carvalho J. F. Leote R.
Hansen James P.
Trizac Emmanuel
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