= Electron-magnetohydrodynamic cascade
An electron-magnetohydrodynamic cascade transfers magnetic fluctuations through the nonlinear <electron magnetohydrodynamics> induction equation. Writing $b_l=\delta B_l/B_0$, its perpendicular nonlinear interaction time is $\tau_{\mathrm{nl}}\sim l_\perp^2/(v_Ad_i b_l)$. The anisotropic <whistler wave> time is $\tau_w\sim l_\parallel l_\perp/(v_Ad_i)$. Scaling predictions depend on locality, phase decorrelation and the assumed balance of these times.
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