Charge regulation and ionic screening of patchy surfaces

Details Charge regulation and ionic screening of patchy surfaces Charge regulation and ionic screening of patchy surfaces

2010-09-30

arxiv.org/abs/1009.6160v1

Physics

Condensed Matter

Soft Condensed Matter

9 figures

Scientific paper

The properties of surfaces with charge-regulated patches are studied using non-linear Poisson-Boltzmann theory. Using a mode expansion to solve the non-linear problem efficiently, we reveal the charging behaviour of Debye-length sized patches. We find that patches charge up to higher charge densities if their size is relatively small and if the patches are well separated. The numerical results are used to construct a basic analytical model which predicts the average surface charge density on surfaces with patchy chargeable groups.

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