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- Title
Linear Stability Analysis of Relativistic Magnetized Jets: Methodology.
- Authors
Vlahakis, Nektarios
- Abstract
The stability of astrophysical jets in the linear regime is investigated by presenting a methodology to find the growth rates of the various instabilities. We perturb a cylindrical axisymmetric steady jet, linearize the relativistic ideal magnetohydrodynamic (MHD) equations, and analyze the evolution of the eigenmodes of the perturbation by deriving the differential equations that need to be integrated, subject to the appropriate boundary conditions, in order to find the dispersion relation. We also apply the WKBJ approximation and, additionally, give analytical solutions in some subcases corresponding to unperturbed jets with constant bulk velocity along the symmetry axis.
- Subjects
ASTROPHYSICAL jets; LINEAR statistical models; DISPERSION relations; DIFFERENTIAL equations; MAGNETOHYDRODYNAMICS; ANALYTICAL solutions
- Publication
Universe (2218-1997), 2023, Vol 9, Issue 9, p386
- ISSN
2218-1997
- Publication type
Article
- DOI
10.3390/universe9090386