The third-order law for magnetohydrodynamic turbulence with constant shear

Physics – Plasma Physics

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[2134] Interplanetary Physics / Interplanetary Magnetic Fields, [2164] Interplanetary Physics / Solar Wind Plasma, [7863] Space Plasma Physics / Turbulence

Scientific paper

Recently, the third-order law was used to evaluate the energy dissipation (heating) of the solar wind. 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. Some numerical examples are presented. (See http://arxiv.org/abs/0907.3571)

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