Oscillatory Line-driven Winds: The Role of Atmospheric Stratification

Time-dependent numerical studies of line-driven winds using the Sobolev approximation have a history spanning over three decades. In many of these studies, the wind solutions display notorious oscillations. Two clues suggest the oscillations originate at the wind base: (i) simulations reach a steady...

Full description

Saved in:
Bibliographic Details
Main Authors: Joshua A. Key, Daniel Proga, Randall Dannen, Sterling Vivier, Tim Waters
Format: Article
Language:English
Published: IOP Publishing 2025-01-01
Series:The Astrophysical Journal
Subjects:
Online Access:https://doi.org/10.3847/1538-4357/adcf19
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1850091824890249216
author Joshua A. Key
Daniel Proga
Randall Dannen
Sterling Vivier
Tim Waters
author_facet Joshua A. Key
Daniel Proga
Randall Dannen
Sterling Vivier
Tim Waters
author_sort Joshua A. Key
collection DOAJ
description Time-dependent numerical studies of line-driven winds using the Sobolev approximation have a history spanning over three decades. In many of these studies, the wind solutions display notorious oscillations. Two clues suggest the oscillations originate at the wind base: (i) simulations reach a steady state without oscillations when the base density is sufficiently low, and (ii) the oscillation dominant frequency is comparable to the Lamb cutoff frequency, ω _c , of acoustic waves propagating in a stratified hydrostatic atmosphere. Recently, Dannen et al. observed another clue: When the line force significantly weakens due to ionization, the winds become increasingly sensitive to the self-excited oscillations. Here, we present a set of simulations and perturbation analyses that further elucidate the source and characteristics of oscillations. We found that the line force adds wave energy and amplifies perturbations with frequencies near ω _c . This selective amplification results from the coupling between the natural tendency of velocity perturbations to grow in a stratified atmosphere and from the line force dependence on the velocity gradient, per the Castor–Abbott–Klein line-driven wind theory. We also found that the variability stems from self-excitation that occurs in the exponential atmosphere due to the nonlinearity introduced by the absolute value of the velocity gradient in the line force prescription. We conclude that self-consistently calculating ionization is insufficient for modeling the dynamics in the subsonic atmosphere. Instead, future wind or unified models should relax the Sobolev approximation, or model the radiative transfer to properly capture the resulting radiation-induced instabilities and dynamics at the wind base.
format Article
id doaj-art-7a70a6cfb52b4063aa68f9cb126f50f8
institution DOAJ
issn 1538-4357
language English
publishDate 2025-01-01
publisher IOP Publishing
record_format Article
series The Astrophysical Journal
spelling doaj-art-7a70a6cfb52b4063aa68f9cb126f50f82025-08-20T02:42:16ZengIOP PublishingThe Astrophysical Journal1538-43572025-01-01987214410.3847/1538-4357/adcf19Oscillatory Line-driven Winds: The Role of Atmospheric StratificationJoshua A. Key0https://orcid.org/0000-0002-0942-637XDaniel Proga1https://orcid.org/0000-0002-6336-5125Randall Dannen2https://orcid.org/0000-0002-5160-8716Sterling Vivier3Tim Waters4https://orcid.org/0000-0002-5205-9472Department of Physics & Astronomy, University of Nevada, Las Vegas , 4505 S. Maryland Pkwy, Las Vegas, NV 89154-4002, USA ; keyj5@unlv.nevada.eduDepartment of Physics & Astronomy, University of Nevada, Las Vegas , 4505 S. Maryland Pkwy, Las Vegas, NV 89154-4002, USA ; keyj5@unlv.nevada.eduDepartment of Physics & Astronomy, University of Nevada, Las Vegas , 4505 S. Maryland Pkwy, Las Vegas, NV 89154-4002, USA ; keyj5@unlv.nevada.eduDepartment of Physics & Astronomy, University of Nevada, Las Vegas , 4505 S. Maryland Pkwy, Las Vegas, NV 89154-4002, USA ; keyj5@unlv.nevada.eduCenter for Theoretical Astrophysics, Los Alamos National Laboratory , Los Alamos, NM 87545, USA ; waters@lanl.govTime-dependent numerical studies of line-driven winds using the Sobolev approximation have a history spanning over three decades. In many of these studies, the wind solutions display notorious oscillations. Two clues suggest the oscillations originate at the wind base: (i) simulations reach a steady state without oscillations when the base density is sufficiently low, and (ii) the oscillation dominant frequency is comparable to the Lamb cutoff frequency, ω _c , of acoustic waves propagating in a stratified hydrostatic atmosphere. Recently, Dannen et al. observed another clue: When the line force significantly weakens due to ionization, the winds become increasingly sensitive to the self-excited oscillations. Here, we present a set of simulations and perturbation analyses that further elucidate the source and characteristics of oscillations. We found that the line force adds wave energy and amplifies perturbations with frequencies near ω _c . This selective amplification results from the coupling between the natural tendency of velocity perturbations to grow in a stratified atmosphere and from the line force dependence on the velocity gradient, per the Castor–Abbott–Klein line-driven wind theory. We also found that the variability stems from self-excitation that occurs in the exponential atmosphere due to the nonlinearity introduced by the absolute value of the velocity gradient in the line force prescription. We conclude that self-consistently calculating ionization is insufficient for modeling the dynamics in the subsonic atmosphere. Instead, future wind or unified models should relax the Sobolev approximation, or model the radiative transfer to properly capture the resulting radiation-induced instabilities and dynamics at the wind base.https://doi.org/10.3847/1538-4357/adcf19Active galactic nucleiComputational methodsGalactic winds
spellingShingle Joshua A. Key
Daniel Proga
Randall Dannen
Sterling Vivier
Tim Waters
Oscillatory Line-driven Winds: The Role of Atmospheric Stratification
The Astrophysical Journal
Active galactic nuclei
Computational methods
Galactic winds
title Oscillatory Line-driven Winds: The Role of Atmospheric Stratification
title_full Oscillatory Line-driven Winds: The Role of Atmospheric Stratification
title_fullStr Oscillatory Line-driven Winds: The Role of Atmospheric Stratification
title_full_unstemmed Oscillatory Line-driven Winds: The Role of Atmospheric Stratification
title_short Oscillatory Line-driven Winds: The Role of Atmospheric Stratification
title_sort oscillatory line driven winds the role of atmospheric stratification
topic Active galactic nuclei
Computational methods
Galactic winds
url https://doi.org/10.3847/1538-4357/adcf19
work_keys_str_mv AT joshuaakey oscillatorylinedrivenwindstheroleofatmosphericstratification
AT danielproga oscillatorylinedrivenwindstheroleofatmosphericstratification
AT randalldannen oscillatorylinedrivenwindstheroleofatmosphericstratification
AT sterlingvivier oscillatorylinedrivenwindstheroleofatmosphericstratification
AT timwaters oscillatorylinedrivenwindstheroleofatmosphericstratification