Theory of counterion association in rod-like polyelectrolytes
Instituto de Física, UFRGS, Caixa Postal 15051, CEP 91501-970, Porto Alegre, RS,
Accepted: 1 April 1996
A new theory of a polyelectrolyte solution at low densities is proposed. It is shown that below temperature Tcl, counterions associate with polyions forming clusters consisting of a polyion and of n counterions. The distribution of cluster sizes is Gaussian, and leads to a strong logarithmic correction to the limiting laws obtained by Manning. Above Tcl the limiting laws remain unchanged. Furthermore, unlike some recent suggestions it is demonstrated that counterion condensation is distinct from the Kosterlitz-Thouless phase transition.
PACS: 05.70.Ce – Thermodynamic functions and equations of state / 61.20.Qg – Structure of associated liquids: electrolytes, molten salts, etc / 61.25.Hq – Macromolecular and polymer solutions; polymer melts
© EDP Sciences, 1996