The nanoscale association domains are the ultimate determinants
of the macroscopic properties of complex fluids involving amphiphilic
polymers and surfactants, and hence, it is foremost important to understand
the role of polymer/surfactant concentration on these domains. We
have used coarse-grained molecular dynamics simulations to investigate
the effect of polymer/surfactant concentration on the morphology of
poly(ethylene oxide)-poly(propylene oxide)-poly(ethylene oxide) (PEO-PPO-PEO,
i.e., pluronics or poloxamers) block copolymer, and ionic surfactants
sodium dodecyl sulfate (SDS), mixed micelles in aqueous solution.
The proclivity of the surfactant to form the mixed micelles is also
probed using umbrella sampling simulations. In this study, we observed
that the core of the pluronic + SDS formed mixed micelles consists
of PPO, the alkyl tail of SDS, and some water molecules, whereas the
PEO, water, and sulfate headgroups of SDS form a shell, consistent
with experimental observations. The micelles are spherical at high-pluronic/low-SDS
compositions, ellipsoidal at high-SDS/low-pluronic compositions, and
wormlike-cylindrical at high-pluronic/high-SDS compositions. The transitions
in micelle morphology are governed by the solvent accessible surface
area of mixed aggregates, electrostatic repulsion between SDS-headgroups,
and dehydration of PEO and PPO segments. The free energy barrier for
SDS escape is much higher in mixed micelles than in pure SDS micelles,
indicating a stronger tendency for SDS to form pluronic-SDS mixed
micelles.