Nonlinear damping of zonal flows


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Abstract

The modulatonal instability theory for the generation of large-scale (zonal) modes by drift modes has been extended to the second order including the effects of finite amplitude zonal flows, ϕq. The nonlinear (second-order) sidebands are included in the perturbative expansion to derive the nonlinear equation for the evolution of ϕq. It is shown that effects of finite ϕq reduce the growth rate of zonal flow with a possibility of oscillatory regimes at a later stage.

About the authors

O. Koshkarov

Department of Physics and Engineering Physics

Author for correspondence.
Email: koshkarov.alexandr@usask.ca
Canada, Saskatoon, SK, S7N 5E2

A. I. Smolyakov

Department of Physics and Engineering Physics; National Research Centre Kurchatov Institute

Email: koshkarov.alexandr@usask.ca
Canada, Saskatoon, SK, S7N 5E2; pl. Akademika Kurchatova 1, Moscow, 123182

J. T. Mendonca

Instituto de Plasmas e Fusão Nuclear

Email: koshkarov.alexandr@usask.ca
Portugal, Lisboa, 1049-001


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