Density functional theory and Monte Carlo simulations have been used to study the non-uniform equilibrium charge distribution on weak polyelectrolytes. For rigid rods, linearized density functional theory and simulation data show good agreement in a fairly wide parameter range. In the central part of the rod there appears a slight depletion of charge which is accumulated at the ends within a range of the order of the Debye length. For flexible chains, the simulations show an enhancement of the non-uniformity of the charge distribution.
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Berghold et al. (1997) studied this question.
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