We report on the theoretical study
of interaction of ionic surfactants
with oppositely charged microgel particles in dilute solutions. Two
approaches are proposed. Within the first approach, the micellization
of the surfactants inside the microgel is taken into account while
the second model focuses on the hydrophobic interactions of the surfactant
tails with the hydrophobic parts of microgel subchains. It has been
shown that microgels effectively absorb surfactant ions. At low surfactant
concentration this absorption is realized due to an ion exchange between
microgel counterions and surfactant ions. The ion exchange is significantly
affected by the amount of the microgel counterions initially trapped
within the microgel particles which depends on the size of the microgel,
its ionization degree, cross-linking density as well as polymer concentration
in the solution. Increase of the surfactant concentration causes contraction
of the microgels, which can be realized as either a continuous shrinking
or a jump-like collapse transition depending on the system parameters.
In the collapsed state additional absorption of surfactants by microgels
takes place due to an energy gain from micellization or hydrophobic
interactions. This leads to microgel precipitation and successive
microgel overcharging at an excess of the surfactant in the solution.
The theoretical results are compared with the existing experimental
data, in particular, on photosensitive surfactant/microgel complexes.