The third-order law for increments in magnetohydrodynamic turbulence with constant shear
Plasma Physics
2015-05-13 v1 Fluid Dynamics
Abstract
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.
Keywords
Cite
@article{arxiv.0907.3571,
title = {The third-order law for increments in magnetohydrodynamic turbulence with constant shear},
author = {M. Wan and S. Servidio and S. Oughton and W. H. Matthaeus},
journal= {arXiv preprint arXiv:0907.3571},
year = {2015}
}