Wan, M., Servidio, S., Oughton, S., & Matthaeus, W. H. (2009). The third-order law for increments in magnetohydrodynamic turbulence with constant shear. Physics of Plasmas, 16, 090703.
Permanent Research Commons link: https://hdl.handle.net/10289/8591
We extend the theory for third-order structure functions in homogeneous incompressible magnetohydrodynamic 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 notsimply proportional to the relative separation. Possible implications for laboratory and space plasmas are discussed.
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