Potential vorticity transport in weakly and strongly magnetized plasmas
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Potential vorticity transport in weakly and strongly magnetized plasmas

  • Author(s): Chen, Chang-Chun;
  • Diamond, Patrick H;
  • Singh, Rameswar;
  • Tobias, Steven M
  • et al.

Published Web Location

https://doi.org/10.1063/5.0041072Creative Commons 'BY' version 4.0 license
Abstract

Tangled magnetic fields, often coexisting with an ordered mean field, have a major impact on turbulence and momentum transport in many plasmas, including those found in the solar tachocline and magnetic confinement devices. We present a novel mean field theory of potential vorticity mixing in $\beta$-plane magnetohydrodynamic (MHD) and drift wave turbulence. Our results show that mean-square stochastic fields strongly reduce Reynolds stress coherence. This decoherence of potential vorticity flux due to stochastic field scattering leads to suppression of momentum transport and zonal flow formation. A simple calculation suggests that the breaking of the shear-eddy tilting feedback loop by stochastic fields is the key underlying physics mechanism. A dimensionless parameter that quantifies the increment in power threshold is identified and used to assess the impact of stochastic field on the L-H transition. We discuss a model of stochastic fields as a resisto-elastic network.

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