Dynamical Tides in Compact White Dwarf Binaries: Influence of Rotation
arXiv:1406.2717 · doi:10.1093/mnras/stu1698
Abstract
Tidal interactions play an important role in the evolution and ultimate fate of compact white dwarf (WD) binaries. Not only do tides affect the pre-merger state (such as temperature and rotation rate) of the WDs, but they may also determine which systems merge and which undergo stable mass transfer. In this paper, we attempt to quantify the effects of rotation on tidal angular momentum transport in binary stars, with specific calculations applied to WD stellar models. We incorporate the effect of rotation using the traditional approximation, in which the dynamically excited gravity waves within the WDs are transformed into gravito-inertial Hough waves. The Coriolis force has only a minor effect on prograde gravity waves, and previous results predicting the tidal spin-up and heating of inspiraling WDs are not significantly modified. However, rotation strongly alters retrograde gravity waves and inertial waves, with important consequences for the tidal spin-down of accreting WDs. We identify new dynamical tidal forcing terms that arise from a proper separation of the equilibrium and dynamical tide components; these new forcing terms are very important for systems near synchronous rotation. Additionally, we discuss the impact of Stokes drift currents on the wave angular momentum flux. Finally, we speculate on how tidal interactions will affect super-synchronously rotating WDs in accreting systems.
arXiv comment18 pages, 7 figures
References in corpus (37)
- The Origin of Subdwarf B Star (I): the Formation Channels
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- Constraints on the Progenitor System of the Type Ia Supernova SN 2011fe/PTF11kly
- A Compact Degenerate Primary-Star Progenitor of SN 2011fe
- Mass Transfer between Double White Dwarfs
- Population synthesis for double white dwarfs. II. Semi-detached systems: AM CVn stars
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- The supernova delay time distribution in galaxy clusters and implications for Type-Ia progenitors and metal enrichment
- Reconstructing the stellar mass distributions of galaxies using S4G IRAC 3.6 and 4.5 micron images: I. Correcting for contamination by PAH, hot dust, and intermediate age stars
- An upper limit on the contribution of accreting white dwarfs to the type Ia supernova rate
- Sub-Chandrasekhar White Dwarf Mergers as the Progenitors of Type Ia Supernovae
- The structure and fate of white dwarf merger remnants
- A 12 minute Orbital Period Detached White Dwarf Eclipsing Binary
- Angular momentum redistribution by waves in the Sun
- Off-Center Carbon Ignition in Rapidly Rotating, Accreting Carbon-Oxygen White Dwarfs
- Remnants of Binary White Dwarf Mergers
- No surviving evolved companions to the progenitor of supernova SN 1006
- How the merger of two white dwarfs depends on their mass ratio: orbital stability and detonations at contact
- The ELM Survey. IV. 24 White Dwarf Merger Systems
- The ELM Survey. III. A Successful Targeted Survey for Extremely Low Mass White Dwarfs
- Discovery of the Eclipsing Detached Double White Dwarf Binary NLTT 11748
- Double white dwarf mergers and elemental surface abundances in extreme helium and R Coronae Borealis stars
- Dynamical Tides in Compact White Dwarf Binaries: Tidal Synchronization and Dissipation
- Double white dwarfs and LISA
- Found: The Progenitors of AM CVn and Supernovae .Ia
- The Progenitors of Type Ia Supernovae: II. Are they Double-Degenerate Binaries? The Symbiotic Channel
- Tidal Excitation of Oscillation Modes in Compact White Dwarf Binaries: I. Linear Theory
- Dynamical Tides in Compact White Dwarf Binaries: Helium Core White Dwarfs, Tidal Heating, and Observational Signatures
- The (Double) White Dwarf Binary SDSS 1257+5428
- Tidal Interactions in Merging White Dwarf Binaries
- Tidal resonance locks in inspiraling white dwarf binaries
- Twins: The Two Shortest Period Non-Interacting Double Degenerate White Dwarf Stars
- Angular momentum transport by internal gravity waves III - Wave excitation by core convection and the Coriolis effect
- Energy Dissipation through Quasi-Static Tides in White Dwarf Binaries
- Spectroscopic evidence for the binary nature of AM CVn
- Tidal Novae in Compact Binary White Dwarfs
- Constraining white dwarf viscosity through tidal heating in detached binary systems
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