Scaling properties of three-dimensional magnetohydrodynamic turbulence

Citation
Wc. Muller et D. Biskamp, Scaling properties of three-dimensional magnetohydrodynamic turbulence, PHYS REV L, 84(3), 2000, pp. 475-478
Citations number
25
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW LETTERS
ISSN journal
00319007 → ACNP
Volume
84
Issue
3
Year of publication
2000
Pages
475 - 478
Database
ISI
SICI code
0031-9007(20000117)84:3<475:SPOTMT>2.0.ZU;2-L
Abstract
The scaling properties of three-dimensional magnetohydrodynamic turbulence with finite magnetic helicity are obtained from direct numerical simulation s using 512(3) modes. The results indicate that the turbulence does not fol low the Iroshnikov-Kraichnan phenomenology. The scaling exponents of the st ructure functions can be described by a modified She-Leveque model zeta(p) = p/9 + 1 - (1/3)(p/3), corresponding to basic Kolmogorov scaling and sheet like dissipative structures. In particular, we find zeta(2) similar or equa l to 0.7, consistent with the energy spectrum E-k similar to k(-5/3) as obs erved in the solar wind, and zeta(3) = 1, confirming a recent analytical re sult.