Statistics of active vs. passive advections in magnetohydrodynamic turbulence

Details Statistics of active vs. passive advections in magnetohydrodynamic turbulence Statistics of active vs. passive advections in magnetohydrodynamic turbulence

2004-03-11

arxiv.org/abs/nlin/0403017v1

Nonlinear Sciences

Chaotic Dynamics

4 pages, 2 figures

Scientific paper

10.1103/PhysRevE.69.057301

Active turbulent advection is considered in the context of magneto-hydrodynamics. In this case, an auxiliary passive field bears no apparent connection to the active field. The scaling properties of the two fields are different. In the framework of a shell model, we show that the two-point structure function of the passive field has a unique zero mode, characterizing the scaling of this field only. In other words, the existence of statistical invariants for the decaying passive field carries no information on the scaling properties of the active field.

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