“…4 gives rise to a richer picture of bulk and interfacial behavior, that is consistent with the picture arising in recent experimental and numerical studies. 21,23,33,35,[47][48][49] Indeed, using spatial linearization methods, see SI for details, we map the qualitatively distinct bulk and interfacial behaviors, and the corresponding regions in the parameter space spanned by ion size asymmetry γ and normalized concentration c, see Region A, describes the emergent self-assembly of bulk nano-structure, i.e., a spatially oscillatory profile throughout the whole domain, see top inset in Figure 1. Here, the region is obtained from the onset of the finite wavenumber instability, 38 see SI for details.…”