Aussagen der Theorie von Kraichnan für die isotrope hydromagnetische Turbulenz

Abstract

The theory ofKraichnan is applied to quasi-stationary isotropic hydromagnetic turbulence.

The average infinitesimal-impulse-response functionsg(k, τ), g _m (k, τ) and the time-correlationsr(k, τ), r _m (k, τ) are evaluated by the non-local direct-interaction approximation within the inertial range. For the range of ohmic but no viscous dissipation it is found that the magnetic energy spectrumE _m (k) obeys aE(k)k ⁻²-law in accordance with results ofGolitsyn andMoffatt.