Nature of Magnetic Dynamo Growth in the High Magnetic Reynolds Number Limit

It has been conjectured that essential features of fast kinematic magnetic dynamos in the presence of small magnetic diffusivity can be extracted from the ideal (i.e., diffusionless) kinematic dynamo equation. In particular, predictions concerning the cancellation exponent, the dynamo growth rate, and the growth of moments of the magnetic field in the nonideal case can be made based on the ideal dynamics. This paper presents the first confirmation of these predictions by numerical computations on a spatially smooth chaotic flow at very high magnetic Reynolds number.