The scaling properties of dissipation in incompressible isotropic three-dimensional magnetohydrodynamic turbulence

Details The scaling properties of dissipation in incompressible isotropic three-dimensional magnetohydrodynamic turbulence The scaling properties of dissipation in incompressible isotropic three-dimensional magnetohydrodynamic turbulence

2004-12-02

arxiv.org/abs/physics/0412014v2

Phys. Plasmas 12, 022301 (2005)

Physics

Plasma Physics

9 pages, 6 figures. Figures embedded in text. Typos corrected in text and references. Published in Physics of Plasmas. Abstrac

Scientific paper

10.1063/1.1842133

The statistical properties of the dissipation process constrain the analysis of large scale numerical simulations of three dimensional incompressible magnetohydrodynamic (MHD) turbulence, such as those of Biskamp and Muller [Phys. Plasmas 7, 4889 (2000)]. The structure functions of the turbulent flow are expected to display statistical self-similarity, but the relatively low Reynolds numbers attainable by direct numerical simulation, combined with the finite size of the system, make this difficult to measure directly. However, it is known that extended self-similarity, which constrains the ratio of scaling exponents of structure functions of different orders, is well satisfied. This implies the extension of physical scaling arguments beyond the inertial range into the dissipation range. The present work focuses on the scaling properties of the dissipation process itself. This provides an important consistency check in that we find that the ratio of dissipation structure function exponents is that predicted by the She and Leveque [Phys. Rev. Lett 72, 336 (1994)] theory proposed by Biskamp and Muller. This supplies further evidence that the cascade mechanism in three dimensional MHD turbulence is non-linear random eddy scrambling, with the level of intermittency determined by dissipation through the formation of current sheets.

Affiliated with

Also associated with

No associations

Rating

The scaling properties of dissipation in incompressible isotropic three-dimensional magnetohydrodynamic turbulence does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The scaling properties of dissipation in incompressible isotropic three-dimensional magnetohydrodynamic turbulence, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The scaling properties of dissipation in incompressible isotropic three-dimensional magnetohydrodynamic turbulence will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-146900