Abstract
This paper considers the 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 increments and decrements in the neighborhoods of some wave vectors k1 and k2 (respectively) such that (1) Rk1<Rk2, where Rk is the spectral density of the extra invariant kernel (I=∫RkEkdk is the extra invariant, with Ek being the energy spectrum), (2) |k1|<|k2|, and (3) k1+k2 is a poloidal/zonal wave vector. These three conditions define a quite narrow region.Received 28 July 2019DOI:https://doi.org/10.1103/PhysRevResearch.1.033180Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.Published by the American Physical SocietyPhysics Subject Headings (PhySH)Research AreasDrift wavesRotating geophysical flowsWave-wave, wave-particle interactionsWeak turbulenceNonlinear DynamicsFluid DynamicsPlasma Physics
Highlights
The quasigeostrophic or Charney-Hasegawa-Mima (CHM) equation [1,2](1 − )ψt + ψy = ψx ψy − ψy ψx (1)is a basic model for several different phenomena, in particular, (i) ocean dynamics [3], (ii) tokamak plasmas [4,5], and (iii) slow magnetohydrodynamics in the ocean of the core [6] [7].In all these situations the generation of poloidal/zonal flow is important
(1 − )ψt + ψy = ψx ψy − ψy ψx is a basic model for several different phenomena, in particular, (i) ocean dynamics [3], (ii) tokamak plasmas [4,5], and (iii) slow magnetohydrodynamics in the ocean of the core [6] [7]
The present paper describes what increments or decrements we could add to the CHM equation in order to generate or to aid in the generation of poloidal flow
Summary
Is a basic model for several different phenomena, in particular, (i) ocean dynamics [3], (ii) tokamak plasmas [4,5], and (iii) slow magnetohydrodynamics in the ocean of the core [6] (in the latter case, instead of being the stream function, ψ is the vertical component of the vector potential, so −ψy, ψx are the horizontal components of the magnetic field) [7]. In all these situations the generation of poloidal/zonal flow is important.
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