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2008A&A...487..671K - Astronomy and Astrophysics, volume 487, 671-687 (2008/8-4)

Simulations of eccentric disks in close binary systems.

KLEY W., PAPALOIZOU J.C.B. and OGILVIE G.I.

Abstract (from CDS):

Eccentric accretion disks in superoutbursting cataclysmic and other binary systems. We study the development of finite eccentricity in accretion disks in close binary systems using a grid-based numerical scheme. We perform detailed parameter studies to explore the dependence on viscosity, disk aspect ratio, the inclusion of a mass-transfer stream and the role of the boundary conditions. Using a two-dimensional grid-based scheme we study the instability of accretion disks in close binary systems that causes them to attain a quasi-steady state with finite eccentricity. Mass ratios 0.05≤q≤0.3 appropriate to superoutbursting cataclysmic binary systems are considered. Our grid-based scheme enables us to study the development of eccentric disks for disk aspect ratio h in the range 0.01-0.06 and dimensionless kinematic viscosity ν in the range 3.3x10–6-10–4. Previous studies using particle-based methods were limited to the largest values for these parameters on account of their diffusive nature. Instability to the formation of a precessing eccentric disk that attains a quasi-steady state with mean eccentricity in the range 0.3-0.5 occurs readily. The shortest growth times are ∼15 binary orbits for the largest viscosities and the instability mechanism is for the most part consistent with the mode-coupling mechanism associated with the 3:1 resonance proposed by Lubow. However, the results are sensitive to the treatment of the inner boundary and to the incorporation of the mass-transfer stream. In the presence of a stream we found a critical viscosity below which the disk remains circular. Eccentric disks readily develop in close binary systems with 0.05≤q≤0.3. Incorporation of a mass-transfer stream tends to impart stability for small enough viscosity (or, equivalently, mass-transfer rate through the disk) and to assist in obtaining a prograde precession rate that is in agreement with observations. For the larger q the location of the 3:1 resonance is pushed outwards towards the Roche lobe where higher-order mode couplings and nonlinearity occur. It is likely that three-dimensional simulations that properly resolve the disk's vertical structure are required to make significant progress in this case.

Abstract Copyright:

Journal keyword(s): accretion, accretion disks - stars: binaries: close - novae, cataclysmic variables

Simbad objects: 2

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