Rod-like Polyelectrolytes in Presence of Monovalent Salt

Details Rod-like Polyelectrolytes in Presence of Monovalent Salt Rod-like Polyelectrolytes in Presence of Monovalent Salt

1998-03-16

arxiv.org/abs/cond-mat/9803196v1

Physics

Condensed Matter

11 pages, Revtex (using twocolumn style), 15 figures and postscript file. Submitted to Macromomelecules

Scientific paper

10.1021/ma980069f

We investigate the properties of rigid polyelectrolyte solutions in presence of monovalent salt. The free energy within the Debye-H\"uckel-Bjerrum (DHBj) theory [M. E. Fisher and Y. Levin, {\it Phys. Rev. Lett.} 71, 3826 (1993)] is constructed. It is found that at thermodynamic equilibrium the polyelectrolyte solution consists of clusters composed of one polyion and various counterions. The distribution of the cluster densities is determined by finding the minimum of the Helmholtz free energy. The osmotic pressure and the average charge of the cluster are found and their dependence on Manning parameter $\xi$ is elucidated. A good agreement with the experimental results is obtained.

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