English

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

Fluid Dynamics 2019-12-25 v1 Other Condensed Matter

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 k1{\bf k}_1 and k2{\bf k}_2 (respectively) such that (1) Rk1<Rk2R_{{\bf k}_1}<R_{{\bf k}_2}, where RkR_{\bf k} is the spectral density of the extra invariant (I=RkEkdkI=\int R_{\bf k} E_{\bf k} d{\bf k} is the extra invariant, with EkE_{\bf k} being the energy spectrum), (2) k1<k2|{\bf k}_1|<|{\bf k}_2|, and (3) k1+k2{\bf k}_1+{\bf k}_2 is a poloidal/zonal wave vector. These three conditions define quite narrow region.

Keywords

Cite

@article{arxiv.1908.01840,
  title  = {A way to generate poloidal (zonal) flow in the dynamics of drift (Rossby) waves},
  author = {Alexander M. Balk},
  journal= {arXiv preprint arXiv:1908.01840},
  year   = {2019}
}