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Published November 11, 2014 | Submitted + Published
Journal Article Open

Dynamical tides in compact white dwarf binaries: influence of rotation


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 gravitoinertial 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 supersynchronously rotating WDs in accreting systems.

Additional Information

© 2014 The Authors. Published by Oxford University Press on behalf of the Royal Astronomical Society. Accepted 2014 August 18. Received 2014 July 24; in original form 2014 June 10. First published online September 17, 2014. We thank Peter Goldreich and Rich Townsend for useful discussions. J. Fuller acknowledges partial support from NSF under grant No. AST-1205732 and through a Lee DuBridge Fellowship at Caltech. This work has been supported in part by NSF grants AST-1008245, 1211061, PHY11-25915, and NASA grants NNX12AF85G and NNX10AP19G.

Attached Files

Published - MNRAS-2014-Fuller-3488-500.pdf

Submitted - 1406.2717v1.pdf


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August 22, 2023
October 18, 2023