2003
DOI: 10.1086/378392
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Nonlinear Outcome of Gravitational Instability in Disks with Realistic Cooling

Abstract: We consider the nonlinear outcome of gravitational instability in opticallythick disks with a realistic cooling function. We use a numerical model that is local, razor-thin, and unmagnetized. External illumination is ignored. Cooling is calculated from a one-zone model using analytic fits to low temperature Rosseland mean opacities. The model has two parameters: the initial surface density Σ o and the rotation frequency Ω. We survey the parameter space and find: (1) The disk fragments when τ c Ω ∼ 1, where τ c… Show more

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Cited by 169 publications
(244 citation statements)
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“…Of course, both a constant cooling timescale and our choice are highly idealized assumptions, and further studies are needed to assess which of the two is more reasonable. In principle, one could follow Johnson & Gammie (2003) and find a relation between cooling time and density, based on some opacity prescription. This would not, in general, give t cool Ω =const.…”
Section: Discussionmentioning
confidence: 99%
“…Of course, both a constant cooling timescale and our choice are highly idealized assumptions, and further studies are needed to assess which of the two is more reasonable. In principle, one could follow Johnson & Gammie (2003) and find a relation between cooling time and density, based on some opacity prescription. This would not, in general, give t cool Ω =const.…”
Section: Discussionmentioning
confidence: 99%
“…The radiative cooling Λ in Eq. (2) is determined using the diffusion approximation of the vertical radiation transport in a one-zone model of the vertical disk structure (Johnson & Gammie 2003)…”
Section: Model Descriptionmentioning
confidence: 99%
“…Johnson & Gammie 2003). The cooling rateu of the emission is given by dividing F by the surface area of the annulus, and we find the cooling time t cool with (red) and retrograde (blue) mid m simulations.…”
Section: Coolingmentioning
confidence: 71%