As
a first step toward understanding the electroacoustic response
of polyelectrolyte hydrogel nanocomposites, we systematically vary
the linear charge density of acrylic acid-co-acrylamide
polymer networks (at a fixed total polymer concentration) to ascertain
how the charge and mobility affect the electrokinetic sonic amplitude
(ESA) spectra. A weakly charged polymer registers a negative ESA (real
part), which we attribute to dynamics of the elastic network and its
charge, whereas a highly charged polymer registers a positive ESA,
attributed to sodium counterions. A mechanistic theoretical model
is proposed that attributes the transition to the subtle manner in
which the hydrodynamic friction of the network strands scale with
their linear charge density. Further insights are gained from the
electrical conductivity and dynamic shear moduli (in the linear viscoelastic
regime). The electrical conductivity is dominated by the mobility
of the sodium counterions and is diminished by network hindrance and
counterion condensation, and the storage modulus decreases systematically
with the linear charge density, suggesting a dominant role of interchain
electrostatics, and possibly electro-steric influence on the polymerization
and cross-linking.