Abstract
We consider the problem of incompressible, forced, nonhelical, homogeneous, isotropic MHD turbulence with no mean magnetic field. This problem is essentially different from the case with externally imposed uniform mean field. There is no scale-by-scale equipartition between magnetic and kinetic energies as would be the case for the Alfvén-wave turbulence. The isotropic MHD turbulence is the end state of the turbulent dynamo which generates folded fields with small-scale direction reversals. We propose that the statistics seen in numerical simulations of isotropic MHD turbulence could be explained as a superposition of these folded fields and Alfvén-like waves that propagate along the folds.
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Batchelor, G.K.: 1950, Proc. R. Soc. London, Ser. A 201, 405.
Goldreich, P. and Sridhar, S.: 1995, ApJ 438, 763.
Haugen, N.E.L., Brandenburg, A. and Dobler, W.: 2003, ApJ 597, 141.
Iroshnikov, P.S.: 1964, Sov. Astron. 7, 566.
Kazantsev, A.P.: 1968, Sov. Phys. JETP 26, 1031.
Kinney, R.M., Chandran, B., Cowley, S. and McWilliams, J.: 2000, ApJ 545, 907.
Kraichnan, R.H.: 1965, Phys. Fluids 8, 1385.
Kulsrud, R.M. and Anderson, S.W.: 1992, ApJ 396, 606.
Ott, E.: 1998, Phys. Plasmas 5, 1636.
Schekochihin, A., Cowley, S., Maron, J. and Malyshkin, L.: 2002a, Phys. Rev. E 65, 016305.
Schekochihin, A.A., Cowley, S.C., Hammett, G.W., Maron, J.L. and McWilliams, J.C.: 2002b, New J. Phys. 4, 84.
Schekochichin, A.A., Cowley, S.C., Maron, J.L. and McWilliams, J.C.: 2004a, Phys. Rev. Lett. 92, 054502.
Schekochichin, A.A., Cowley, S.C., Taylor, S.F., Hammet, G.W., Maron, J.L. and McWilliams, J.C.: 2004b, Phys. Rev. Lett. 92, 084504.
Schekochihin, A.A., Cowley, S.C., Taylor, S.F., Maron, J.L. and McWilliams, J.C.: 2004b, ApJ,in press (preprint astro-ph/0312046).
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Schekochihin, A.A., Cowley, S.C., Taylor, S.F. et al. From Small-Scale Dynamo to Isotropic MHD Turbulence. Astrophysics and Space Science 292, 141–146 (2004). https://doi.org/10.1023/B:ASTR.0000045010.69658.a8
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DOI: https://doi.org/10.1023/B:ASTR.0000045010.69658.a8