Analogy between zonal modes linear dynamics and coupled dampers.
Effective nonlinear coupling parameters vs. normalized turbulence energy , for different values of the RMP coupling parameter: (a) and (b) . The parameters are α = 1, β = 0.1, γ = 1, μ = 2, and α′ = 0.
(Color online) Dynamics of the model without RMPs : turbulence energy (solid line), and energies E ZP , E ZD associated to zonal flows (dashed line) and zonal density (dash-dotted line), for the two possible non-trivial states: (a) L mode-like state and (b) H mode like state. The parameters are the same as in Fig. 2.
(Color online) Dynamics of the zonal modes—drift waves predator-prey model: turbulence energy (solid line), and energies E ZP , E ZD associated to zonal flows (dashed line) and zonal density (dash-dotted line) before and during an RMP pulse applied at t = 60, for different values of the normalized coupling parameter : (a) for , (b) for , (c) for , and (d) for . The values of the parameters are: α = 1, β = 0.1, γ = 1, μ = 2, and α′ = 0.
Transition between states of the predator-prey model Eqs. (90) and (91).
Zonal flow energy and ambient turbulence energy vs. the normalized RMP coupling parameter. Parameters are the same as in Fig. 4.
(Color online) Steady-state solutions of the ZM-DW predator prey model. (a) energy of zonal flows vs. normalized turbulence energy for different values of the normalized RMP coupling parameter and (b) associated normalized turbulence energy vs. normalized coupling parameter and normalized collisionality . Here, the value of the parameter α is α = 1.
RMPs increase the power threshold: relative variation of power threshold vs. RMP coupling parameter μ δB , for different values of the collisional drag μ.
Analogy between the linear Hasegawa-Wakatani model and zonal modes with RMPs.
Possible regimes for the predator-prey model Eqs. (90) and (91). The critical parameters are: and , for the parameters of Fig. 2.
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