Nonlinear phase dynamics of ideal kink mode in the presence of shear flow

Yi ZHANG (张毅); Zhibin GUO (郭志彬)

doi:10.1088/2058-6272/abe274

Plasma Science and Technology > 2021 > 23(4): 45101-045101. > DOI: 10.1088/2058-6272/abe274

Yi ZHANG (张毅), Zhibin GUO (郭志彬). Nonlinear phase dynamics of ideal kink mode in the presence of shear flow[J]. Plasma Science and Technology, 2021, 23(4): 45101-045101. DOI: 10.1088/2058-6272/abe274

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Nonlinear phase dynamics of ideal kink mode in the presence of shear flow

State Key Laboratory of Nuclear Physics and Technology, Fusion Simulation Center, School of Physics, Peking University, Beijing 100871, People's Republic of China

Funds: This project was supported by the National MCF Energy R&D Program of China (No. 2018YFE0311400)

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Received Date: December 18, 2020
Revised Date: January 28, 2021
Accepted Date: February 01, 2021

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Abstract

Abstract

We investigate nonlinear phase dynamics of an ideal kink mode, induced by E × B flow. Here the phase is the cross phase (θ_c) between perturbed stream function of velocity (ф˜) and magnetic field (φ˜ ), i.e. θ_c = θ_ф − θ_ψ. A dimensionless parameter, analogous to the Richardson number, R_i = 16γ_kink²/ω_E² (γ_kink: the normalized growth rate of the pure kink mode; ωˆ_E: normalized E × B shearing rate) is defined to measure the competition between phase pinning by the current density and phase detuning by the flow shear. When R_i> 1, θ_c is locked to a fixed value, corresponding to the conventional eigenmode solution. When R_i ≤1, θ_c enters a phase slipping or oscillating state, corresponding to a nonmodal solution. The nonlinear phase dynamics method provides a more intuitive explanation of the complex ynamical behavior of the kink mode in the presence of E × B shear flow.
- kink mode,
- E×B flow,
- nonlinear phase dynamics,
- Richardson number

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References (19)

References

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Nonlinear phase dynamics of ideal kink mode in the presence of shear flow