A parametric study of population inversions in relativistic plasmas through nonresonant interactions with Alfvén waves and their applications to Fast Radio Bursts

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Hauptverfasser: Long, Killian, Pe'er, Asaf
Format: Preprint
Veröffentlicht: 2024
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author Long, Killian
Pe'er, Asaf
author_facet Long, Killian
Pe'er, Asaf
contents Synchrotron maser emission is a leading candidate to explain the coherent emission from Fast Radio Bursts (FRBs). This mechanism requires a population inversion in order to operate. We show that nonresonant interactions between Alfvén waves and a relativistic plasma result in the formation of population inversions across a wide range of magnetizations, $σ\gtrsim10^{-4}$, and temperatures, $10^{-2} \leq k_bT/mc^2 \leq 3$, spanning the parameters expected in FRB environments. We calculate the fraction of energy contained in the inversion across the whole of this parameter space for the first time and we show that energy fractions of $f_{inv}\gtrsim10^{-2}$ are achieved for high magnetizations $σ>1$. The population inversion forms on time-scales compatible with the typical dynamical time-scales of magnetars for all magnetizations. Furthermore, we provide physical explanations for the behaviour of the interaction in different magnetization regimes, and identify the important characteristic values at which this behaviour changes. We also show that the mechanism is capable of producing an FRB signal at GHz frequencies in a relativistic magnetar wind close to the light cylinder and that this signal can escape the magnetar environment without significant damping.
format Preprint
id arxiv_https___arxiv_org_abs_2410_21022
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A parametric study of population inversions in relativistic plasmas through nonresonant interactions with Alfvén waves and their applications to Fast Radio Bursts
Long, Killian
Pe'er, Asaf
High Energy Astrophysical Phenomena
Synchrotron maser emission is a leading candidate to explain the coherent emission from Fast Radio Bursts (FRBs). This mechanism requires a population inversion in order to operate. We show that nonresonant interactions between Alfvén waves and a relativistic plasma result in the formation of population inversions across a wide range of magnetizations, $σ\gtrsim10^{-4}$, and temperatures, $10^{-2} \leq k_bT/mc^2 \leq 3$, spanning the parameters expected in FRB environments. We calculate the fraction of energy contained in the inversion across the whole of this parameter space for the first time and we show that energy fractions of $f_{inv}\gtrsim10^{-2}$ are achieved for high magnetizations $σ>1$. The population inversion forms on time-scales compatible with the typical dynamical time-scales of magnetars for all magnetizations. Furthermore, we provide physical explanations for the behaviour of the interaction in different magnetization regimes, and identify the important characteristic values at which this behaviour changes. We also show that the mechanism is capable of producing an FRB signal at GHz frequencies in a relativistic magnetar wind close to the light cylinder and that this signal can escape the magnetar environment without significant damping.
title A parametric study of population inversions in relativistic plasmas through nonresonant interactions with Alfvén waves and their applications to Fast Radio Bursts
topic High Energy Astrophysical Phenomena
url https://arxiv.org/abs/2410.21022