Magnetized plasmas, the dominant observable matter in the universe, exhibit complex interactions between large-scale magnetic fields and ionized gases across astrophysical systems, from stars to galaxy clusters. While gravitational forces govern the equilibrium of steady-state celestial bodies, the formation, evolution, and transient dynamics of diffuse cosmic plasmas—such as stellar eruptions and solar flares—are primarily driven by electromagnetic interactions. These processes fall within the domain of non-equilibrium magnetized plasma dynamics and magnetic field transport, a field that has profound implications for advancing fundamental physics, controlled fusion technologies (e.g., magnetic/inertial confinement fusion). Although magnetohydrodynamics (MHD) effectively describes macroscopic plasma behavior, key microscale processes—operating near ion inertial lengths and requiring kinetic descriptions—remain poorly understood. Critical gaps persist in unifying macroscopic MHD and microscopic kinetic effects, clarifying magnetic transport mechanisms, and identifying cross-scale energy cascades bridging vast spatial disparities. We have carried out the experimental investigations of non-equilibrium magnetized plasmas generated by a theta-pinch pulsed-power device, employing high spatiotemporal diagnostics to resolve dynamics and transport. Three major advances are reported: 1. Full-cycle dynamics of theta-pinch plasmas; 2. Anomalous magnetic transport and radiation coupling; 3. In application : cross-scale energy cascade in solar flare analogs. In this MRE we will give the detailed introduction.

magnetized plasmas, magnetic transport,