In Gaussian units, the ensemble-averaged magnetic energy density is
Let , and assume the relevant moment exists and endpoint terms vanish. Twice applying integration by parts to the conservative magnitude equation gives
In particular, the magnetic stretching moment growth for is
This is a kinematic magnetic dynamo result with prescribed velocity statistics and no Ohmic loss. Once the Lorentz force appreciably changes the flow, this indefinitely exponential kinematic approximation is no longer self-consistent.