Gyrokinetic Theory of Linear Gravitational Flute Interchanges with Flow Shear Stabilization
Abstract
A collisionless electrostatic gyrokinetic theory is developed to describe how the presence of a differential velocity shear can help stabilize linear gravitational flute interchanges in slab geometry. This is made possible because the velocity shear acts to increase the perpendicular wavenumber of the unstable modes with time. Eventually, a threshold wavenumber is crossed where the effect of gyroaveraging, captured by the Bessel function in the gyrokinetic equation, results in a damping of the instability by nature of these Bessel functions being a decaying sinusoidal. However, transient amplification, responsible for subcritical turbulence, can still occur. Numerical comparisons are made with a Magnetohydrodynamic model with gyroviscous corrections as well as the GX gyrokinetic code. It is demonstrated that an increasing shear acts not only to accelerate the stabilization effect but also to reduce the overall transient amplification.
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BibTeX
@misc{tan2026gyrokinetic,
title = {{Gyrokinetic Theory of Linear Gravitational Flute Interchanges with Flow Shear Stabilization}},
author = {Zheng Yang Tan and Ian Abel},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2606.27453},
eprint = {2606.27453},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.27453},
}
RIS
TY - UNPB
TI - Gyrokinetic Theory of Linear Gravitational Flute Interchanges with Flow Shear Stabilization
AU - Zheng Yang Tan
AU - Ian Abel
PY - 2026
DA - 2026/09/01
PB - arXiv
DO - 10.48550/arxiv.2606.27453
UR - https://arxiv.org/abs/2606.27453
AB - A collisionless electrostatic gyrokinetic theory is developed to describe how the presence of a differential velocity shear can help stabilize linear gravitational flute interchanges in slab geometry. This is made possible because the velocity shear acts to increase the perpendicular wavenumber of the unstable modes with time. Eventually, a threshold wavenumber is crossed where the effect of gyroaveraging, captured by the Bessel function in the gyrokinetic equation, results in a damping of the instability by nature of these Bessel functions being a decaying sinusoidal. However, transient amplification, responsible for subcritical turbulence, can still occur. Numerical comparisons are made with a Magnetohydrodynamic model with gyroviscous corrections as well as the GX gyrokinetic code. It is demonstrated that an increasing shear acts not only to accelerate the stabilization effect but also to reduce the overall transient amplification.
ER -