Abstract

Microtearing modes have been widely reported as a tearing parity electron temperature gradient driven plasma instability, which leads to fine scale tearing of the magnetic flux surfaces thereby resulting in reconnection of magnetic field lines and formation of magnetic islands. In slab geometry it has previously been shown that the drive mechanism requires a finite collision frequency. However, we find in linear gyrokinetic simulations that a collisionless fine-scale tearing parity instability exists even at low and zero collision frequency. Detailed studies reveal that these slab modes are also driven by electron temperature gradient but are sensitive to electron finite Larmor radius effects, and have a radial wavenumber much smaller than the binormal wavenumber, which is comparable to the ion Larmor radius. Furthermore, they exist even in the electrostatic limit and electromagnetic effects actually have a stabilising influence on this collisionless tearing mode. An analytic model shows that this collisionless small scale tearing mode is consistent with a tearing parity slab electron temperature gradient (ETG) mode, which can be more unstable than the twisting parity ETG mode that is often studied. This small-scale tearing parity mode can lead to magnetic islands, which, in turn, can influence turbulent transport in magnetised plasmas.

Highlights

  • Electromagnetic micro-instabilities in magnetised plasmas can be categorised as tearing or twisting parity modes

  • Gyrokinetic simulations have found microtearing modes can exist towards the edge of MAST tokamak plasmas and that these modes can be unstable at low collision frequency in toroidal geometry [7]

  • We show that a fine scale collisionless tearing parity mode can, be unstable even in slab geometry

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Summary

Introduction

Electromagnetic micro-instabilities in magnetised plasmas can be categorised as tearing or twisting parity modes. Gyrokinetic simulations have found microtearing modes can exist towards the edge of MAST tokamak plasmas and that these modes can be unstable at low collision frequency in toroidal geometry [7]. Gyrokinetic simulations [8, 9, 10] have demonstrated unstable MTMs in the complete collisionless limit in a range of scenarios These are at odds with the slab results presented in [5, 4]. To identify the key physics, we develop an analytic model of this collisionless microtearing instability in slab geometry and conclude that the drive mechanism persists even in the electrostatic limit, with finite electron Larmor radius effects playing an important role.

Slab geometry
GS2 simulation
Modelling in slab geometry
Electrostatic model at zero collision frequency
Electromagnetic model with finite Lorentz collision operator
Numerical results and discussion
Conclusion
Full Text
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