A way to generate poloidal (zonal) flow in the dynamics of drift (Rossby) waves

Abstract

The paper considers dynamics in the Charney-Hasegawa-Mima equation, basic to several different phenomena. In each of them, the generation of poloidal/zonal flow is important. The paper suggests a possibility to generate such flows (which can serve as transport barriers). Namely, one needs to create significant \emph{increment} and \emph{decrement} in neighborhoods of some wave vectors ${\mathbf{k}}_1$ and ${\mathbf{k}}_2$ (respectively) such that (1) $R_{{\mathbf{k}}_1}<R_{{\mathbf{k}}_2}$, where $R_{\mathbf{k}}$ is the spectral density of the extra invariant ($I=\int R_{\mathbf{k}}{E}_{\mathbf{k}}d\mathbf{k}$ is the extra invariant, with $E_{\mathbf{k}}$ being the energy spectrum), (2) $|{\mathbf{k}}_1|<|{\mathbf{k}}_2|$, and (3) ${\mathbf{k}}_1+{\mathbf{k}}_2$ is a poloidal/zonal wave vector. These three conditions define quite narrow region.

References in corpus (1)

• Large Scale Quasi-geostrophic Magnetohydrodynamics