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Title: Limits on Mode Coherence in Pulsating DA White Dwarfs Due to a Nonstatic Convection Zone

Abstract

The standard theory of pulsations deals with the frequencies and growth rates of infinitesimal perturbations in a stellar model. Modes which are calculated to be linearly driven should increase their amplitudes exponentially with time; the fact that nearly constant amplitudes are usually observed is evidence that nonlinear mechanisms inhibit the growth of finite amplitude pulsations. Models predict that the mass of convection zones in pulsating hydrogen-atmosphere (DAV) white dwarfs is very sensitive to temperature (i.e., MCZ α T–90eff), leading to the possibility that even low-amplitude pulsators may experience significant nonlinear effects. In particular, the outer turning point of finite-amplitude g-mode pulsations can vary with the local surface temperature, producing a reflected wave that is out of phase with what is required for a standing wave. This can lead to a lack of coherence of the mode and a reduction in its global amplitude. In this paper we show that: (1) whether a mode is calculated to propagate to the base of the convection zone is an accurate predictor of its width in the Fourier spectrum, (2) the phase shifts produced by reflection from the outer turning point are large enough to produce significant damping, and (3) amplitudes and periods aremore » predicted to increase from the blue edge to the middle of the instability strip, and subsequently decrease as the red edge is approached. Furthermore, this amplitude decrease is in agreement with the observational data while the period decrease has not yet been systematically studied.« less

Authors:
ORCiD logo [1];  [2]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [3]
  1. Univ. of Texas and McDonald Observatory, Austin, TX (United States)
  2. Boston Univ., MA (United States)
  3. Univ. of Washington, Seattle, WA (United States)
Publication Date:
Research Org.:
Univ. of Texas, Austin, TX (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1729870
Grant/Contract Number:  
NA0003843
Resource Type:
Accepted Manuscript
Journal Name:
The Astrophysical Journal (Online)
Additional Journal Information:
Journal Name: The Astrophysical Journal (Online); Journal Volume: 890; Journal Issue: 1; Journal ID: ISSN 1538-4357
Publisher:
Institute of Physics (IOP)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; White dwarf stars; DA stars; Computational methods; Stellar oscillations; Analytical mathematics; Stellar interiors

Citation Formats

Montgomery, Michael H, Hermes, J. J., Winget, Donald E., Dunlap, Bart H., and Bell, Keaton J. Limits on Mode Coherence in Pulsating DA White Dwarfs Due to a Nonstatic Convection Zone. United States: N. p., 2020. Web. doi:10.3847/1538-4357/ab6a0e.
Montgomery, Michael H, Hermes, J. J., Winget, Donald E., Dunlap, Bart H., & Bell, Keaton J. Limits on Mode Coherence in Pulsating DA White Dwarfs Due to a Nonstatic Convection Zone. United States. https://doi.org/10.3847/1538-4357/ab6a0e
Montgomery, Michael H, Hermes, J. J., Winget, Donald E., Dunlap, Bart H., and Bell, Keaton J. Fri . "Limits on Mode Coherence in Pulsating DA White Dwarfs Due to a Nonstatic Convection Zone". United States. https://doi.org/10.3847/1538-4357/ab6a0e. https://www.osti.gov/servlets/purl/1729870.
@article{osti_1729870,
title = {Limits on Mode Coherence in Pulsating DA White Dwarfs Due to a Nonstatic Convection Zone},
author = {Montgomery, Michael H and Hermes, J. J. and Winget, Donald E. and Dunlap, Bart H. and Bell, Keaton J.},
abstractNote = {The standard theory of pulsations deals with the frequencies and growth rates of infinitesimal perturbations in a stellar model. Modes which are calculated to be linearly driven should increase their amplitudes exponentially with time; the fact that nearly constant amplitudes are usually observed is evidence that nonlinear mechanisms inhibit the growth of finite amplitude pulsations. Models predict that the mass of convection zones in pulsating hydrogen-atmosphere (DAV) white dwarfs is very sensitive to temperature (i.e., MCZ α T–90eff), leading to the possibility that even low-amplitude pulsators may experience significant nonlinear effects. In particular, the outer turning point of finite-amplitude g-mode pulsations can vary with the local surface temperature, producing a reflected wave that is out of phase with what is required for a standing wave. This can lead to a lack of coherence of the mode and a reduction in its global amplitude. In this paper we show that: (1) whether a mode is calculated to propagate to the base of the convection zone is an accurate predictor of its width in the Fourier spectrum, (2) the phase shifts produced by reflection from the outer turning point are large enough to produce significant damping, and (3) amplitudes and periods are predicted to increase from the blue edge to the middle of the instability strip, and subsequently decrease as the red edge is approached. Furthermore, this amplitude decrease is in agreement with the observational data while the period decrease has not yet been systematically studied.},
doi = {10.3847/1538-4357/ab6a0e},
journal = {The Astrophysical Journal (Online)},
number = 1,
volume = 890,
place = {United States},
year = {Fri Feb 07 00:00:00 EST 2020},
month = {Fri Feb 07 00:00:00 EST 2020}
}

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