A Modified Random Phase Approximation of Polyelectrolyte Solutions

Details A Modified Random Phase Approximation of Polyelectrolyte Solutions A Modified Random Phase Approximation of Polyelectrolyte Solutions

2002-11-21

arxiv.org/abs/cond-mat/0211493v2

Physics

Condensed Matter

Scientific paper

10.1021/ma034148p

We compute the phase diagram of salt-free polyelectrolyte solutions using a modified Debye-Huckel Approach. We introduce the chain connectivity via the Random Phase Approximation with two important modifications. We modify the electrostatic potential at short distances to include a bound on the electrostatic attractions at the distance of closest approach between charges. This modification is shown to act as a hard core in the phase diagram of electrolyte solutions. We also introduce a cut-off on the integration of the modes of wave length smaller than the size over which the chains are strongly perturbed by the electrostatic interactions. This cut-off is shown to be essential to predict physical phase diagram in long chain solutions.

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