Small scale structures in three-dimensional magnetohydrodynamic turbulence

Details Small scale structures in three-dimensional magnetohydrodynamic turbulence Small scale structures in three-dimensional magnetohydrodynamic turbulence

2006-07-28

arxiv.org/abs/physics/0607269v1

Phys. Rev. Lett. 97, 244503 (2006)

Physics

Fluid Dynamics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.97.244503

We investigate using direct numerical simulations with grids up to 1536^3 points, the rate at which small scales develop in a decaying three-dimensional MHD flow both for deterministic and random initial conditions. Parallel current and vorticity sheets form at the same spatial locations, and further destabilize and fold or roll-up after an initial exponential phase. At high Reynolds numbers, a self-similar evolution of the current and vorticity maxima is found, in which they grow as a cubic power of time; the flow then reaches a finite dissipation rate independent of Reynolds number.

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