Mean magnetic field and noise cross-correlation in magnetohydrodynamic turbulence: results from a one-dimensional model |
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Authors: | A Basu JK Bhattacharjee S Ramaswamy |
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Institution: | (1) Department of Physics, Indian Institute of Science, Bangalore 560012, India, IN;(2) Indian Association for the Cultivation of Science, Calcutta 700032, India, IN |
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Abstract: | We show that a recently proposed J. Fleischer, P.H. Diamond, Phys. Rev. E 58, R2709 (1998)] one-dimensional Burgers-like model for magnetohydrodynamics (MHD) is in effect identical to existing models
for drifting lines and sedimenting lattices. We use the model to demonstrate, contrary to claims in the literature, that the
energy spectrum of MHD turbulence should be independent of mean magnetic field and that cross-correlations between the noise
sources for the velocity and magnetic fields cannot change the structure of the equations under renormalisation. We comment
on the scaling and the multiscaling properties of the stochastically forced version of the model.
Received 29 October 1998 and Received in final form 8 December 1998 |
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Keywords: | PACS 47 27 Gs Isotropic turbulence homogeneous turbulence - 05 40 -a Fluctuation phenomena random processes noise and Brownian motion - 47 65 +a Magnetohydrodynamics and electrohydrodynamics |
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