1996
DOI: 10.1086/178019
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The Speed of Cooling Fronts and the Functional Form of the Dimensionless Viscosity in Accretion Disks

Abstract: We examine the speed of inward traveling cooling fronts in accretion disks. We show that their speed is determined by the rarefaction wave that precedes them and is approximately α F c F (H/r) q , where α F is the dimensionless viscosity, c F is the sound speed, r is the radial coordinate, H is the disk thickness, and all quantities are evaluated at the cooling front. The scaling exponent q lies in the interval [0, 1], depending on the slope of the (T, Σ) relation in the hot state. For a Kramer's law opacity a… Show more

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Cited by 22 publications
(37 citation statements)
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“…4 of Menou et al 1999a). The front propagates through the disc at a speed V front ≈ α h c s (Meyer 1984;Vishniac & Wheeler 1996). In the standard DIM, the sound speed depends on the temperature at the transition between the hot and cold regions and is almost constant as verified by numerical calculations (Menou et al 1999a).…”
Section: Irradiation-controlled Linear Decaymentioning
confidence: 82%
“…4 of Menou et al 1999a). The front propagates through the disc at a speed V front ≈ α h c s (Meyer 1984;Vishniac & Wheeler 1996). In the standard DIM, the sound speed depends on the temperature at the transition between the hot and cold regions and is almost constant as verified by numerical calculations (Menou et al 1999a).…”
Section: Irradiation-controlled Linear Decaymentioning
confidence: 82%
“…The transition is triggered by a heating wave propagating through the disc. The transition wave velocity v tr ∼ αc s (H/r) 0.5 (Vishniac & Wheeler 1996) is a few times higher than the radial velocity of the matter in the disc v R ∼ αc s H/r, where c s ≈ 10 6 (T/10 4 K) 1/2 cm s −1 is the local sound speed, α ∼ 0.01 − 0.1 is a viscosity parameter, and H is a local disc half thickness. We assume α = 0.1 for all subsequent estimates.…”
Section: Accretion Disc Instabilitymentioning
confidence: 99%
“…Numerical modelling of DIM in dwarf novae shows that, if α hot is constant, the speed of the cooling front approaches a characteristic constant velocity of order of α hot u sound (Meyer 1984;Cannizzo 1994;Vishniac & Wheeler 1996), with the hot inner part of the disk evolving in a self-similar way (Menou et al 1999).…”
Section: Cooling Front Without Irradiationmentioning
confidence: 99%