Advances in the analytical theory of plasma turbulence and transport: Realizable Markovian statistical closures

Explaining anomalous plasma transport in magnetic confinement devices requires a deeper understanding of the underlying turbulent processes than presently exists. In this work, Markovian closures are built by imposing the constraints of realizability, conservation of quadratic invariants, and covariance to arbitrary linear transformations. One such closure is solved numerically. The results compare favorably to the data available from numerical simulations.