Nonaxisymmetric hydrodynamic instability and subcritical transition to turbulence in the inner region of thin keplerian disks.
The nonlinear growth of a nonaxisymmetric instability (the Papaloizou-Pringle instability) is followed numerically in thin Keplerian disks with the use of a time-dependent two-dimensional polytropic hybrid Fourier-Chebyshev spectral method of collocation. The nonaxisymmetric instability (a corotation resonance) develops in the inner disk when the inner boundary is rigid (corresponding here to the surface of an accreting compact star). All the modes of the instability have high Q-values and a period of rotation on the order of the Keplerian period at the inner edge of the disk. The high-order modes have growth rates larger than the low-order modes. When the viscosity is large, the higher modes are the First to be damped and saturate at moderate values : the energy is contained in the low-order modes, which dominate the Now. When the viscosity is low, the high-order modes dominate the Now, while the loworder modes do not grow at all : the energy is contained in the higher modes. When the order m and the amplitude a of the unstable mode are high enough (in the present calculations mZ15 and aZ0.3 for a\0.001), the Now undergoes a subcritical transition to turbulence. The turbulence is conÐned in the inner region of the disk, inside the resonant cavity,where it sustains itself because of the overrenection of waves (i.e., like the nonaxisymmetric instability itself ). Some of the low-order modes are dominant during transient phases of the turbulent Now. The turbulence obtained in this work cannot account for angular momentum transport in the disk. However, the instability provides a new robust mechanism to explain the appearance of short-period oscillations (dwarf nova oscillations and quasi-periodic oscillations) observed in the inner disk of cataclysmic variables and other related systems.
Main Author: | Godon, Patrick. |
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Format: | |
Language: | English |
Published: |
1998
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http://ezproxy.villanova.edu/login?url=https://digital.library.villanova.edu/Item/vudl:176453 |
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The Astrophysical Journal 502, July 20, 1998, 382-393. |
author |
Godon, Patrick. |
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Godon, Patrick. |
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Godon, Patrick. |
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Godon, Patrick. |
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Godon, Patrick. Nonaxisymmetric hydrodynamic instability and subcritical transition to turbulence in the inner region of thin keplerian disks. |
author-letter |
Godon, Patrick. |
author_sort_str |
Godon, Patrick. |
dc_title_str |
Nonaxisymmetric hydrodynamic instability and subcritical transition to turbulence in the inner region of thin keplerian disks. |
title |
Nonaxisymmetric hydrodynamic instability and subcritical transition to turbulence in the inner region of thin keplerian disks. |
title_short |
Nonaxisymmetric hydrodynamic instability and subcritical transition to turbulence in the inner region of thin keplerian disks. |
title_full |
Nonaxisymmetric hydrodynamic instability and subcritical transition to turbulence in the inner region of thin keplerian disks. |
title_fullStr |
Nonaxisymmetric hydrodynamic instability and subcritical transition to turbulence in the inner region of thin keplerian disks. |
title_full_unstemmed |
Nonaxisymmetric hydrodynamic instability and subcritical transition to turbulence in the inner region of thin keplerian disks. |
collection_title_sort_str |
nonaxisymmetric hydrodynamic instability and subcritical transition to turbulence in the inner region of thin keplerian disks. |
title_sort |
nonaxisymmetric hydrodynamic instability and subcritical transition to turbulence in the inner region of thin keplerian disks. |
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Villanova Faculty Authorship |
description |
The nonlinear growth of a nonaxisymmetric instability (the Papaloizou-Pringle instability) is followed
numerically in thin Keplerian disks with the use of a time-dependent two-dimensional polytropic hybrid
Fourier-Chebyshev spectral method of collocation. The nonaxisymmetric instability (a corotation
resonance) develops in the inner disk when the inner boundary is rigid (corresponding here to the surface
of an accreting compact star). All the modes of the instability have high Q-values and a period of rotation
on the order of the Keplerian period at the inner edge of the disk. The high-order modes have
growth rates larger than the low-order modes. When the viscosity is large, the higher modes are the First
to be damped and saturate at moderate values : the energy is contained in the low-order modes, which
dominate the Now. When the viscosity is low, the high-order modes dominate the Now, while the loworder
modes do not grow at all : the energy is contained in the higher modes. When the order m and the
amplitude a of the unstable mode are high enough (in the present calculations mZ15 and aZ0.3 for
a\0.001), the Now undergoes a subcritical transition to turbulence. The turbulence is conÐned in the
inner region of the disk, inside the resonant cavity,where it sustains itself because of the overrenection
of waves (i.e., like the nonaxisymmetric instability itself ). Some of the low-order modes are dominant
during transient phases of the turbulent Now. The turbulence obtained in this work cannot account for
angular momentum transport in the disk. However, the instability provides a new robust mechanism to
explain the appearance of short-period oscillations (dwarf nova oscillations and quasi-periodic
oscillations) observed in the inner disk of cataclysmic variables and other related systems. |
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1998 |
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1998-01-01T00:00:00Z |
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1998 |
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Nonaxisymmetric hydrodynamic instability and subcritical transition to turbulence in the inner region of thin keplerian disks. |
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dc.title |
Nonaxisymmetric hydrodynamic instability and subcritical transition to turbulence in the inner region of thin keplerian disks. |
dc.creator |
Godon, Patrick. |
dc.description |
The nonlinear growth of a nonaxisymmetric instability (the Papaloizou-Pringle instability) is followed
numerically in thin Keplerian disks with the use of a time-dependent two-dimensional polytropic hybrid
Fourier-Chebyshev spectral method of collocation. The nonaxisymmetric instability (a corotation
resonance) develops in the inner disk when the inner boundary is rigid (corresponding here to the surface
of an accreting compact star). All the modes of the instability have high Q-values and a period of rotation
on the order of the Keplerian period at the inner edge of the disk. The high-order modes have
growth rates larger than the low-order modes. When the viscosity is large, the higher modes are the First
to be damped and saturate at moderate values : the energy is contained in the low-order modes, which
dominate the Now. When the viscosity is low, the high-order modes dominate the Now, while the loworder
modes do not grow at all : the energy is contained in the higher modes. When the order m and the
amplitude a of the unstable mode are high enough (in the present calculations mZ15 and aZ0.3 for
a\0.001), the Now undergoes a subcritical transition to turbulence. The turbulence is conÐned in the
inner region of the disk, inside the resonant cavity,where it sustains itself because of the overrenection
of waves (i.e., like the nonaxisymmetric instability itself ). Some of the low-order modes are dominant
during transient phases of the turbulent Now. The turbulence obtained in this work cannot account for
angular momentum transport in the disk. However, the instability provides a new robust mechanism to
explain the appearance of short-period oscillations (dwarf nova oscillations and quasi-periodic
oscillations) observed in the inner disk of cataclysmic variables and other related systems. |
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1998 |
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Villanova Faculty Authorship |
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vudl:176453 |
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The Astrophysical Journal 502, July 20, 1998, 382-393. |
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en |
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