Miguel Aubouy et al 2003 J. Phys. A: Math. Gen. 36 5835 doi:10.1088/0305-4470/36/22/302
Effective charge versus bare charge: an analytical estimate for colloids in the infinite dilution limit
Miguel Aubouy1, Emmanuel Trizac2 and Lydéric Bocquet3
Show affiliationsWe 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 κa 
1, where a is the radius of the colloid and κ is the inverse screening length. In practice, a careful comparison with effective charge parameters, obtained by numerically solving the full nonlinear PB theory, proves that our estimate is good down to κa ~ 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.
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Issue 22 (6 June 2003)
Received 11 October 2002
Published 22 May 2003
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Effective charge versus bare charge: an analytical estimate for colloids in the infinite dilution limit
Miguel Aubouy et al 2003 J. Phys. A: Math. Gen. 36 5835
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