Linear Stability Analysis of Relativistic Magnetized Jets: Methodology
arXiv:2306.16835 · doi:10.3390/universe9090386
Abstract
The stability of astrophysical jets in the linear regime is investigated by presenting the 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.
arXiv commentPublished in Universe (Open Access: https://doi.org/10.3390/universe9090386)
References in corpus (17)
- Stability of Relativistic Jets from Rotating, Accreting Black Holes via Fully Three-Dimensional Magnetohydrodynamic Simulations
- Relativistic MHD simulations of core-collapse GRB jets: 3D instabilities and magnetic dissipation
- Relativistic Magnetohydrodynamics with Application to Gamma-Ray Burst Outflows: I. Theory and Semianalytic Trans-Alfvenic Solutions
- Equation of State in Relativistic Magnetohydrodynamics: variable versus constant adiabatic index
- Three-Dimensional Relativistic Magnetohydrodynamic Simulations of Current-Driven Instability. III. Rotating Relativistic Jets
- Stability of a relativistic rotating electron-positron jet: nonaxisymmetric perturbations
- Stability Properties of Strongly Magnetized Spine Sheath Relativistic Jets
- Stability of Relativistic Force-Free Jets
- Linear stability analysis of magnetized relativistic jets: the nonrotating case
- Spatial Growth of the Current-Driven Instability in Relativistic Jets
- Kink instability: evolution and energy dissipation in Relativistic Force-Free Non-Rotating Jets
- Linear stability analysis of magnetized relativistic rotating jets
- Magnetic inhibition of the recollimation instability in relativistic jets
- Internal instabilities in magnetized jets
- On the Linear Stability of Magnetized Jets Without Current Sheets - Relativistic Case
- Kink Instability of Force-Free Jets: a Parameter Space Study
- Kinetic Simulations of Instabilities and Particle Acceleration in Cylindrical Magnetized Relativistic Jets