## Correlation electrostatic attraction in polyelectrolytes. Effects connected with positions of charged groups on the chains

__I.I. Potemkin__, V.V. Palyulin (MSU Physics Faculty)

### Abstract

Similar to the Debye-Hueckel plasma, charged groups
of oppositely charged polyelectrolytes attract each other. We find exact
expression for the correlation free energy of electrostatic attraction
in polyelectrolytes within the random phase approximation. The obtained
expression is shown to be valid in dilute, semidilute, concentrated
solutions, and melts. In this theory we explicitly take into account
positions of charged groups on the chains and examine both charge and
polymer concentrations fluctuations. The existence of the critical point
in theta-solvent is demonstrated. The theory reproduces scaling results
and describes the system beyond the scaling approximation. We discuss
also the difference and similarity between our theory and the earliest
results by Borue and Erukhimovich.