Suppression of resistive hose instability in a relativistic electron-positron flow

Abstract

This paper presents the effects of electron-positron pair production on the linear growth of the resistive hose instability of a filamentary beam that could lead to snake-like distortion. For both the rectangular radial density profile and the diffuse profile reflecting the Bennett-type equilibrium for a self-collimating flow, the modified eigenvalue equations are derived from a Vlasov-Maxwell equation. While for the simple rectangular profile, current perturbation is localized at the sharp radial edge, for the realistic Bennett profile with an obscure edge, it is non-locally distributed over the entire beam, removing catastrophic wave-particle resonance. The pair production effects likely decrease the betatron frequency, and expand the beam radius to increase the resistive decay time of the perturbed current; these also lead to a reduction of the growth rate. It is shown that, for the Bennett profile case, the characteristic growth distance for a preferential mode can exceed the observational length-scale of astrophysical jets. This might provide the key to the problem of the stabilized transport of the astrophysical jets including extragalactic jets up to Mpc ($\sim 3\times 10^{24}$ cm) scales.

arXiv comment11 pages, 3 figures, matches version published in MNRAS

References in corpus (17)

• The matter content of the jet in M87: evidence for an electron-positron jet
• Particle Acceleration in Relativistic Jets due to Weibel Instability
• A Helical Magnetic Field in the Jet of 3C 273
• A $\lambda$20cm Survey of the Galactic Center Region I: Detection of Numerous Linear Filaments
• The MHD Kelvin-Helmholtz Instability: A Two-Dimensional Numerical Study
• The origin of the Narrow Line Region of Mrk 3: an overpressured jet cocoon
• HST and MERLIN Observations of the Jet in 3C273
• Conductivity of a Relativistic Plasma
• Eigenmodes and growth rates of relativistic current filamentation instability in a collisional plasma
• Self-Collimation and Magnetic Field Generation of Astrophysical Jets
• Filamentary jets as a cosmic-ray "Zevatron"
• Spectral Structure in FRII Radio Galaxies and Jets
• Transitive X-ray spectrum and PeV gamma-ray cutoff in the M87 jet: Electron "Pevatron"
• Diffusive synchrotron radiation from extragalactic jets
• Particle Diffusion and Acceleration by Shock Wave in Magnetized Filamentary Turbulence
• Electron-Positron Jets from a Critically Magnetized Black Hole
• Relativistic heat conduction and thermoelectric properties of nonuniform plasmas

Cited by in corpus (1)

• Scalings of the synchrotron cut-off and turbulent correlation of active galactic nucleus jets