Created Adiabatic vs Hydrodynamic Model Created Spitzer Resistivity
Notes
Adiabacity parameter determines adiabacity of the system. adiabatic or hydrodynamic.
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It states, what system, the adiabatic vs the hydrodynamic model dominate the plasma in the current state. When the system diverges under dominance of the hydrodynamic model, linear and analytical prediction methods are mitigated and linear turbulence is more likely to occur
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two dimensional resistive drift wave turbulence occurs from cross-coupling of resistive dissipation, proportional to the adiabaticity parameter to the density and potential fluctuations that make up the drift wave itself
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the Hasegawa-Wakatani equations don’t change upon system change to another adiabatic state
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adiabatic particles don’t exchange energy with the wave. Therefore they support its integrity
Drift Wave to Instability Conversion
drift-waves are enabled by three categories of effects, namely resistive, collision-bound, and kinetic mechanism to become drift-wave instabilities that extract energy from equilibrium gradients gradients
The primary mechanisms of the resistive effects are
- Resistive effects are primarily caused by parallel electron resistivity, specifically Spitzer Resistivity arising from electron-ion collisions along the magnetic field
- (Secondary) - Anomalous (turbulent) resistivity—an effective resistivity arising from small-scale turbulent scattering of electrons along field lines, which can dominate in strongly fluctuating plasmas.
How Resistivity enables a Drift Wave to extract Energy from the Equilibrium Gradients
A drift wave exists as a coherent oscillation even without instability. It arises from charge separation due to the equilibrium density gradient in a magnetized plasma and the resulting ExB Drift.
As soon as a finite phase shift exists between density and potential, particle transport appears. However, instability requires that the energy flow from equilibrium gradients **exceeds Collisional Dissipation.