The third-order law for increments in magnetohydrodynamic turbulence with constant shear

Details The third-order law for increments in magnetohydrodynamic turbulence with constant shear The third-order law for increments in magnetohydrodynamic turbulence with constant shear

2009-07-21

arxiv.org/abs/0907.3571v1

Physics

Plasma Physics

Scientific paper

We extend the theory for third-order structure functions in homogeneous incompressible magnetohydrodynamic (MHD) turbulence to the case in which a constant velocity shear is present. A generalization is found of the usual relation [Politano and Pouquet, Phys. Rev. E, 57 21 (1998)] between third-order structure functions and the dissipation rate in steady inertial range turbulence, in which the shear plays a crucial role. In particular, the presence of shear leads to a third-order law which is not simply proportional to the relative separation. Possible implications for laboratory and space plasmas are discussed.

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