We examine the possibility that fast radio bursts (FRBs) are emitted inside the magnetosphere of a magnetar. On its way out, the radio wave must interact with a low-density $e^\pm$ plasma in the outer magnetosphere at radii $10^9$-$10^{10}\,$cm. In this region, the magnetospheric particles have a huge cross section for scattering the wave. As a result, the wave strongly interacts with the magnetosphere and compresses it, depositing the FRB energy into the compressed field and the scattered radiation. The scattered spectrum extends to the $\gamma$-ray band and triggers $e^\pm$ avalanche, further boosting the opacity. These processes choke FRBs, excluding emission of observed bursts from radii $R\ll 10^{10}\,$cm.

Can a Strong Radio Burst Escape the Magnetosphere of a Magnetar

Roche lobe overflow from a donor star onto a black hole or neutron star binary companion can evolve to a phase of unstable runaway mass transfer, lasting as short as hundreds of orbits (≲102 yr for a giant donor) and eventually culminating in a common-envelope event. The highly super-Eddington accretion rates achieved during this brief phase ( Ṁ≳105ṀEdd) are accompanied by intense mass loss in disk winds, analogous to but even more extreme than ultraluminous X-ray (ULX) sources in the nearby universe. Also in analogy with the observed ULX, this expanding outflow will inflate an energetic “bubble” of plasma into the circumbinary medium. Embedded within this bubble is a nebula of relativistic electrons heated at the termination shock of the faster v ≳ 0.1c wind/jet from the inner accretion flow. We present a time-dependent, one-zone model for the synchrotron radio emission and other observable properties of such ULX “hypernebulae.” If ULX jets are sources of repeating fast radio bursts (FRB), as recently proposed, such hypernebulae could generate persistent radio emission and contribute large and time-variable rotation measure to the bursts, consistent with those seen from FRB 20121102 and FRB 20190520B. ULX hypernebulae can be discovered independently of an FRB association in radio surveys, such as VLASS, as off-nuclear point sources whose fluxes can evolve significantly on timescales as short as years, possibly presaging energetic transients from common-envelope mergers.

Radio Nebulae from Hyperaccreting X-Ray Binaries as Common-envelope Precursors and Persistent Counterparts of Fast Radio Bursts


 At least some fast radio bursts (FRBs) are produced by magnetars. Even though mounting observational evidence points towards a magnetospheric origin of FRB emission, the question of the location for FRB generation continues to be debated. One argument suggested against the magnetospheric origin of bright FRBs is that the radio waves associated with an FRB may lose most of their energy before escaping the magnetosphere because the cross-section for e± to scatter large-amplitude EM waves in the presence of a strong magnetic field is much larger than the Thompson cross-section. We have investigated this suggestion and find that FRB radiation traveling through the open field line region of a magnetar’s magnetosphere does not suffer much loss due to two previously ignored factors. First, the plasma in the outer magnetosphere ($r \,\,{\gtrsim}\,\,10^9$cm), where the losses are potentially most severe, is likely to be flowing outward at a high Lorentz factor γp ≥ 103. Second, the angle between the wave vector and the magnetic field vector, θB, in the outer magnetosphere is likely of the order of 0.1 radian or smaller due in part to the intense FRB pulse that tilts open magnetic field lines so that they get aligned with the pulse propagation direction. Both these effects reduce the interaction between the FRB pulse and the plasma substantially. We find that a bright FRB with an isotropic luminosity $L_{\rm frb}\,\,{\gtrsim }\,\,10^{42} \ {\rm erg \ s^{-1}}$ can escape the magnetosphere unscathed for a large section of the γp − θB parameter space, and therefore conclude that the generation of FRBs in magnetar magnetosphere passes this test.

/pdf/transparency-of-fast-radio-burst-waves-in-magnetar-1gmlasyy.pdf

Transparency of Fast Radio Burst Waves in Magnetar Magnetospheres

Shocks waves are a ubiquitous feature of many astrophysical plasma systems,
and an important process for energy dissipation and transfer. The physics of
these shock waves are frequently treated/modeled as a collisional, fluid MHD
discontinuity, despite the fact that many shocks occur in the collisionless
regime. In light of this, using fully kinetic, 3D simulations of
non-relativistic, parallel propagating collisionless shocks comprised of
electron-positron plasma, we detail the deviation of collisionless shocks form
MHD predictions for varying magnetization/Alfv\'enic Mach numbers, with
particular focus on systems with Alf\'enic Mach numbers much smaller than sonic
Mach numbers. We show that the shock compression ratio decreases for
sufficiently large upstream magnetic fields, in agreement with the predictions
of Bret & Narayan (2018). Additionally, we examine the role of magnetic field
strength on the shock front width. This work reinforces a growing body of work
that suggest that modeling many astrophysical systems with only a fluid plasma
description omits potentially important physics.

Kinetic simulations of strongly magnetized parallel shocks: deviations from MHD jump conditions

ABSTRACT Magnetars are the most promising progenitors of fast radio bursts (FRBs). Strong radio waves propagating through the magnetar wind are subject to non-linear effects, including modulation/filamentation instabilities. We derive the dispersion relation for modulations of strong waves propagating in magnetically dominated pair plasmas focusing on dimensionless strength parameters a0 ≲ 1, and discuss implications for FRBs. As an effect of the instability, the FRB-radiation intensity develops sheets perpendicular to the direction of the wind magnetic field. When the FRB front expands outside the radius where the instability ends, the radiation sheets are scattered due to diffraction. The FRB-scattering time-scale depends on the properties of the magnetar wind. In a cold wind, the typical scattering time-scale is τsc ∼ $\mu$s–ms at the frequency $\nu \sim 1\, {\rm GHz}$. The scattering time-scale increases at low frequencies, with the scaling τsc ∝ ν−2. The frequency-dependent broadening of the brightest pulse of FRB 181112 is consistent with this scaling. From the scattering time-scale of the pulse, one can estimate that the wind Lorentz factor is larger than a few tens. In a warm wind, the scattering time-scale can approach $\tau _{\rm sc}\sim \, {\rm ns}$. Then scattering produces a frequency modulation of the observed intensity with a large bandwidth, $\Delta \nu \sim 1/\tau _{\rm sc}\gtrsim 100\, {\rm MHz}$. Broad-band frequency modulations observed in FRBs could be due to scattering in a warm magnetar wind. 

OUP accepted manuscript

Relativistic magnetized shocks are a natural source of coherent emission, offering a plausible radiative mechanism for Fast Radio Bursts (FRBs). We present first-principles 3D simulations that provide essential information for the FRB models based on shocks: the emission efficiency, spectrum, and polarization. The simulated shock propagates in an $e^\pm$ plasma with magnetization $\sigma>1$. The measured fraction of shock energy converted to coherent radiation is $\simeq 10^{-3} \, \sigma^{-1}$, and the energy-carrying wavenumber of the wave spectrum is $\simeq 4 \,\omega_{\rm c}/c$, where $\omega_{\rm c}$ is the upstream gyrofrequency. The ratio of the O-mode and X-mode energy fluxes emitted by the shock is $\simeq 0.4\,\sigma^{-1}$. The dominance of the X-mode at $\sigma\gg 1$ is particularly strong, approaching 100% in the spectral band around $2\,\omega_{\rm c}$. We also provide a detailed description of the emission mechanism for both X- and O-modes.

Andrei M. Beloborodov

Papers

Coherent Electromagnetic Emission from Relativistic Magnetized Shocks