Scaling of magnetic turbulence with Lundquist number in relaxed state devices
- L-630, Lawrence Livermore National Laboratory, Livermore, California 94550 (United States)
The scaling of magnetic turbulence with Lundquist number, {tilde {ital B}}({ital S}), as generated by the dynamo in reversed-field pinches and spheromaks, is addressed. A theoretical framework is described, showing how the fluctuations arise from the dynamo and what dynamics determine the {tilde {ital B}}({ital S}) scaling. There are two limits of the dynamo. For a discrete (sawtoothing) dynamo, the time average of the magnetic fluctuations is given by {tilde {ital B}}{proportional_to}{ital S}{sup 0}, but it is argued that the averaged flux surface destroying magnetic field fluctuations scale as {tilde {ital B}}{sub br}{proportional_to}{ital S}{sup {minus}1/2}. For a continuous dynamo, with a steady-state saturated turbulent spectrum, the magnetic field perturbations scale as {tilde {ital B}}{proportional_to}{ital S}{sup {minus}1/4}. Previous theories of {ital S} scaling are reviewed. {copyright} {ital 1996 American Institute of Physics.}
- OSTI ID:
- 282881
- Journal Information:
- Physics of Plasmas, Vol. 3, Issue 5; Other Information: PBD: May 1996
- Country of Publication:
- United States
- Language:
- English
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