An equilibrium mean-field theory for dilute polyelectrolyte solution with m
any associating groups per chain is presented. We have shown that in additi
on to physical gel formation, the aggregation of polyelectrolyte chains in
dilute solution can lead to the formation of optimum size clusters. The phy
sical reason for the stabilization of such clusters is discussed. Intramole
cular optimum cluster formation (necklace conformation) becomes possible fo
r long or charged enough chains. The study of influence of the number of st
ickers on phase behavior of associating polyelectrolyte solution enabled us
to predict a rather unusual counterintuitive effect: The physical gel form
ation can be induced by the decrease of the number of stickers (anomalous p
hysical gelation). This effect has pure polyelectrolyte nature and is conne
cted with the translational entropy of mobile counterions. (C) 2001 America
n Institute of Physics.