Fig. 6: Contributions of nonlinear and linear terms to the variations of the fluctuating Elsässer variables at time = 4.0.
From: Energy transfer of imbalanced Alfvénic turbulence in the heliosphere
A–C The distributions of the evolution term (A), the nonlinear term (B), and the linear term (C) in the simulation domain for \({{{{{\rm{\delta }}}}}}{{{{{{\rm{Z}}}}}}}_{x}^{+}\). D–F The distributions of the evolution term (D), the nonlinear term (E), and the linear term (F) in the simulation domain for \({{{{{{\rm{\delta }}}}}}{{{{{\rm{Z}}}}}}}_{x}^{-}\). The orange-dashed and pink-dashed circles highlight the regions with good correlations between the terms. G PSDs of \(-\left({{{{{{\rm{\delta }}}}}}{{{{{\bf{Z}}}}}}}^{-}\cdot {{{{{\boldsymbol{\nabla }}}}}}\right){{{{{\rm{\delta }}}}}}{{{{{{\rm{Z}}}}}}}_{x}^{+}\) (green line) and \(\left({{{{{{\bf{V}}}}}}}_{{{{{{\bf{A}}}}}}{{{{{\bf{0}}}}}}}\cdot {{{{{\boldsymbol{\nabla }}}}}}\right){{{{{\rm{\delta }}}}}}{{{{{{\rm{Z}}}}}}}_{x}^{+}\) (blue line) as a function of wavenumber \(k\). H PSDs of \(-\left({{{{{{\rm{\delta }}}}}}{{{{{\bf{Z}}}}}}}^{+}\cdot {{{{{\boldsymbol{\nabla }}}}}}\right){{{{{\rm{\delta }}}}}}{{{{{{\rm{Z}}}}}}}_{x}^{-}\) (green line) and \(\left({{{{{{\bf{V}}}}}}}_{{{{{{\bf{A}}}}}}{{{{{\bf{0}}}}}}}\cdot {{{{{\boldsymbol{\nabla }}}}}}\right){{{{{\rm{\delta }}}}}}{{{{{{\rm{Z}}}}}}}_{x}^{-}\) (blue line) as a function of wavenumber \(k\). Their temporal propagation and evolution for the time from 4.0 until 6.0 are shown in Supplementary Movie 2. The displayed variables are dimensionless.
