  Despite many attempts, ordered equilibrium microphases have yet to be
obtained in experimental colloidal suspensions. The recent computation of the
equilibrium phase diagram of a microscopic, particle-based microphase former
[Zhuang et al., Phys. Rev. Lett. 116, 098301 (2016)] has nonetheless found such
mesoscale assemblies to be thermodynamically stable. Here, we consider their
equilibrium and assembly dynamics. At intermediate densities above the
order-disorder transition, we identify four different dynamical regimes and the
structural changes that underlie the dynamical crossovers from one disordered
regime to the next. Below the order-disorder transition, we also find that
periodic lamellae are the most dynamically accessible of the periodic
microphases. Our analysis thus offers a comprehensive view of the disordered
microphase dynamics and a route to the assembly of periodic microphases in a
putative well-controlled, experimental system.
