1. Dynamics of zonal shear collapse with hydrodynamic electrons.
- Author
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Hajjar, R. J., Malkov, M. A., and Diamond, P. H.
- Subjects
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PLASMA drift waves , *SHEAR (Mechanics) , *HYDRODYNAMICS , *ELECTRONS , *PLASMA turbulence , *FLUCTUATIONS (Physics) , *PLASMA density , *SPATIOTEMPORAL processes - Abstract
This paper presents a theory for the collapse of the edge zonal shear layer, as observed at the density limit at low
β . This paper investigates the scaling of the transport and mean profiles with the adiabaticity parameterα , with special emphasizes on fluxes relevant to zonal flow (ZF) generation. We show that the adiabaticity parameter characterizes the strength of production of zonal flows and so determines the state of turbulence. A 1D reduced model that self-consistently describes the spatiotemporal evolution of the mean density n ¯ , the azimuthal flow v ¯ y , and the turbulent potential enstrophy ε = ⟨ ( n ̃ − ∇ 2 ϕ ̃ ) 2 / 2 ⟩ —related to fluctuation intensity—is presented. Quasi-linear analysis determines how the particle flux Γn and vorticity flux Π = − χ y ∇ 2 v y + Π r e s scale withα , in both hydrodynamic and adiabatic regimes. As the plasma response passes from adiabatic (α > 1) to hydrodynamic (α < 1), the particle flux Γn is enhanced and the turbulent viscosityχy increases. However, the residual flux Πres —which drives the flow—drops withα . As a result, the mean vorticity gradient ∇ 2 v ¯ y = Π r e s / χ y —representative of the strength of the shear—also drops. The shear layer then collapses and turbulence is enhanced. The collapse is due to a decrease in ZF production, not an increase in damping. A physical picture for the onset of collapse is presented. The findings of this paper are used to motivate an explanation of the phenomenology of lowβ density limit evolution. A change from adiabatic ( α = k z 2 v t h 2 / ( | ω | ν e i ) > 1 ) to hydrodynamic (α < 1) electron dynamics is associated with the density limit. [ABSTRACT FROM AUTHOR]- Published
- 2018
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