  Poly(ethylene oxide)-$\textit{b}$-poly(butylmethacrylate)
(PEO-$\textit{b}$-PBMA) copolymers have recently been identified as excellent
building blocks for the synthesis of hierarchical nanoporous materials.
Nevertheless, while experiments have unveiled their potential to form
bicontinuous phases and vesicles, a general picture of their phase and
aggregation behavior is still missing. By performing Molecular Dynamics
simulations, we here apply our recent coarse-grained model of
PEO-$\textit{b}$-PBMA to investigate its self-assembly in water and
tetrahydrofuran (THF) and unveil the occurrence of a wide spectrum of
mesophases. In particular, we find that the morphological phase diagram of this
ternary system incorporates bicontinuous and lamellar phases at high copolymer
concentrations, and finite-size aggregates, such as dispersed sheets or
disk-like aggregates, spherical vesicles and rod-like vesicles, at low
copolymer concentrations. The morphology of these mesophases can be controlled
by tuning the THF/water relative content, which has a striking effect on the
kinetics of self-assembly as well as on the resulting equilibrium structures.
Our results disclose the fascinating potential of PEO-$\textit{b}$-PBMA
copolymers for the templated synthesis of nanostructured materials and offer a
guideline to fine-tune their properties by accurately selecting the THF/water
ratio.
