Zum Energiespektrum der isotropen hydromagnetischen Turbulenz |
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Authors: | E Richter |
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Institution: | 1. Institut für Theoretische Physik und Sternwarte der Universit?t Kiel, Kiel
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Abstract: | The physical consequences emerging from a theory stated byKraichnan are considered with regard to isotropic hydromagnetic turbulence. This theory involves the direct-interaction approximation retaining the phase correlation within each triad of Fourier amplitudes. These interactions are suggested to be very important in hydromagnetic turbulence. Hydrodynamic as well as magnetic impulse-response function and time-correlation are unequivocally the same. This result suggests the existence of a universal equilibrium range. Within the inertial range the total energy spectrumE g (k)=E(k)+E m (k) obeys the same law as in hydrodynamic turbulenceE(k). The valueE m (k)≈E(k) corresponds roughly to maximum energy flux through this range. The magnetic energy flux decreases rapidly for eddies with larger wave-numbers within the range of ohmic ? viscous dissipation. |
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