  Plasmas in strong magnetic fields have been mainly studied in two distinct
limiting cases--that of weak and strong nonideality with very different
physical properties. While the former is well described by the familiar theory
of Braginskii, the latter regime is closer to the behavior of a Coulomb liquid.
Here we study in detail the transition between both regimes. We focus on the
evolution of the dynamic structure factor of the magnetized one-component
plasma from weak to strong coupling, which is studied with first-principle
molecular dynamics simulations. The simulations show the vanishing of Bernstein
modes and the emergence of higher harmonics of the upper hybrid mode across the
magnetic field, a redistribution of spectral power between the two main
collective modes under oblique angles, and a suppression of plasmon damping
along the magnetic field. Comparison with results from various models,
including the random phase approximation, a Mermin-type dielectric function,
and the Quasi-Localized Charge Approximation show that none of the theories is
capable of reproducing the crossover that occurs when the coupling parameter is
on the order of unity. The findings are relevant to the scattering spectra,
stopping power, and transport coefficients of correlated magnetized plasmas.
