Time evolution of the volume-averaged variables in the 3D (solid lines) and 1D settings (dashed lines). The horizontal axis (time) is normalized by the period of the parent wave τ0. Panels indicate the (a) normalized rms density fluctuation ﹩\delta {\rho }_{\mathrm{rms}}/{\rho }_{0}﹩, (b) angle between current density and magnetic field ϕj,B, (c) normalized Elsässer energies (red: E+/E0, blue: E−/E0), and (d) normalized cross-helicity σc, respectively. The blue lines in panel (a) are the exponential fitting ﹩\delta {\rho }_{\mathrm{rms}}\propto \exp (\gamma t)﹩ in the linear growth stage.