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Transport coefficients in turbulence are comprised of correlation functionsbetween turbulent fluctuations and efficient methods to calculate them aredesirable. For example, in mean field dynamo theories used to model the growthof large scale magnetic fields of stars and galaxies, the turbulentelectromotive force is commonly approximated by a series of tensor products ofturbulent transport coefficients with successively higher order spatialderivatives of the mean magnetic field. One ingredient of standard models isthe kinematic coefficient of the zeroth order term, namely the averaged kineticpseudotensor $\bm{\alpha}$, that converts toroidal to poloidal fields. Here wedemonstrate an efficient way to calculate this quantity for rotating stratifiedturbulence, whereby the pre-averaged quantity is calculated for the motion of asingle plume, and the average is then taken over an ensemble of plumes ofdifferent orientations. We calculate the plume dynamics in the most convenientframe, before transforming back to the lab frame and averaging. Our conciseconfiguration space calculation gives essentially identical results to previouslengthier approaches. The present application exemplifies what is a broadlyapplicable method.

Calculating turbulent transport tensors by averaging single plume dynamics and application to dynamos