Magnetic Helicity Fluxes from Triple Correlators

Abstract Fluxes of the magnetic helicity density play an important role in large-scale turbulent dynamos, allowing growth fields while overcoming catastrophic quenching. We show here, analytically, how several types fluxes can arise from terms involving triple correlators fluctuating evolution equation. For this, we assume incompressibility and weak inhomogeneity, use a quasi-normal closure approximation: fourth-order are replaced by products second-order ones, effect cumulants on third moments is modeled strong damping term. First, diffusive flux, until now only measured simulations, arises correlation This accompanied what refer to as random advective flux , which predominantly transports along gradients fields. also find that new contribution, some aspects similar first proposed Vishniac, correlator. contribution depends kinetic energies vorticity, thus any rotating, stratified system, even if turbulence non-helical. It source dynamo itself spatially transporting within system.