Non-linear Poisson-Boltzmann Theory for Swollen Clays

Details Non-linear Poisson-Boltzmann Theory for Swollen Clays Non-linear Poisson-Boltzmann Theory for Swollen Clays

1998-04-20

arxiv.org/abs/cond-mat/9804214v1

Europhys. Lett. 43, 369 (1998).

Physics

Condensed Matter

Soft Condensed Matter

13 pages, 4 postscript figures

Scientific paper

10.1209/epl/i1998-00367-8

The non-linear Poisson-Boltzmann equation for a circular, uniformly charged platelet, confined together with co- and counter-ions to a cylindrical cell, is solved semi-analytically by transforming it into an integral equation and solving the latter iteratively. This method proves efficient, robust, and can be readily generalized to other problems based on cell models, treated within non-linear Poisson-like theory. The solution to the PB equation is computed over a wide range of physical conditions, and the resulting osmotic equation of state is shown to be in fair agreement with recent experimental data for Laponite clay suspensions, in the concentrated gel phase.

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