Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2002-10-21
J. Phys: Condens. Matt. 15, S291 (2003).
Physics
Condensed Matter
Soft Condensed Matter
5 pages, 2 figures, to appear in Journal of Physics : Condensed Matter
Scientific paper
10.1088/0953-8984/15/1/339
We propose a simple approximation scheme to compute the effective charge of highly charged colloids (spherical or cylindrical with infinite length). Within non-linear Poisson-Boltzmann theory, we start from an expression of the effective charge in the infinite dilution limit which is asymptotically valid for large salt concentrations; this result is then extended to finite colloidal concentration, approximating the salt partitioning effect which relates the salt content in the suspension to that of a dializing reservoir. This leads to an analytical expression of the effective charge as a function of colloid volume fraction and salt concentration. These results compare favorably with the effective charges {\em at saturation} (i.e. in the limit of large bare charge) computed numerically following the standard prescription proposed by Alexander {\it et al.} within the cell model.
Aubouy Miguel
Bocquet Lyderic
Trizac Emmanuel
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