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.
Format: Villanova Faculty Authorship
Language: English
Published: 1998
Online Access: http://ezproxy.villanova.edu/login?url=https://digital.library.villanova.edu/Item/vudl:176453
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dc_source_str_mv The Astrophysical Journal 502, July 20, 1998, 382-393.
author Godon, Patrick.
author_facet_str_mv Godon, Patrick.
author_or_contributor_facet_str_mv Godon, Patrick.
author_s Godon, Patrick.
spellingShingle 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.
format 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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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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