Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2003-01-07
J. Phys. A: Math. Gen. 36 5835 (2003).
Physics
Condensed Matter
Soft Condensed Matter
Proceedings of the International Conference on Strongly Coupled Coulomb Systems, Santa Fe (2002)
Scientific paper
10.1088/0305-4470/36/22/302
We propose an analytical approximation for the dependence of the effective charge on the bare charge for spherical and cylindrical macro-ions as a function of the size of the colloid and salt content, for the situation of a unique colloid immersed in a sea of electrolyte (where the definition of an effective charge is non ambiguous). Our approach is based on the Poisson-Boltzmann (PB) mean-field theory. Mathematically speaking, our estimate is asymptotically exact in the limit $\kappa a\gg 1$, where $a$ is the radius of the colloid and $\kappa$ the inverse screening length. In practice, a careful comparison with effective charges parameters obtained by numerically solving the full non-linear PB theory proves that it is good down to $\kappa a\sim 1$. This is precisely the limit appropriate to treat colloidal suspensions. A particular emphasis is put on the range of parameters suitable to describe both single and double strand DNA molecules under physiological conditions.
Aubouy Miguel
Bocquet Lyderic
Trizac Emmanuel
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