2014
DOI: 10.1088/0004-637x/782/2/88
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How Empty Are Disk Gaps Opened by Giant Planets?

Abstract: Gap clearing by giant planets has been proposed to explain the optically thin cavities observed in many protoplanetary disks. How much material remains in the gap determines not only how detectable young planets are in their birth environments, but also how strong co-rotation torques are, which impacts how planets can survive fast orbital migration. We determine numerically how the average surface density inside the gap, Σ gap , depends on planet-to-star mass ratio q, Shakura-Sunyaev viscosity parameter α, and… Show more

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Cited by 265 publications
(341 citation statements)
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References 38 publications
(64 reference statements)
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“…Because our interest is focussed on the influence of the gas surface density carved by planets on the radial dust evolution, we use an approximation of the radial shape of the gaps in protoplanetary disks rather than full hydrodynamical simulations. We assume the analytical results presented in Crida et al (2006) and Fung et al (2014). Crida et al (2006) proposed an equilibrium profile considering the viscous torque (t ν ), gravitational torque (t g ), and the torque removed by pressure supported waves or pressure torque (t P ).…”
Section: Carved Gapsmentioning
confidence: 99%
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“…Because our interest is focussed on the influence of the gas surface density carved by planets on the radial dust evolution, we use an approximation of the radial shape of the gaps in protoplanetary disks rather than full hydrodynamical simulations. We assume the analytical results presented in Crida et al (2006) and Fung et al (2014). Crida et al (2006) proposed an equilibrium profile considering the viscous torque (t ν ), gravitational torque (t g ), and the torque removed by pressure supported waves or pressure torque (t P ).…”
Section: Carved Gapsmentioning
confidence: 99%
“…An analytical solution for the depth of the gap close to the planet is difficult to calculate because of the strong tidal gravitational field of the planet in this region. Using two independent codes (PEnGUIn and ZEUS90), Fung et al (2014) provided an empirical relation of the depth of the gap carved by a nonmigrating giant planet in a locally isothermal disk. They consider a large parameter space for the planet-stellar mass ratio q, viscosity α, and aspect ratio H/r, finding very similar results with both codes.…”
Section: Carved Gapsmentioning
confidence: 99%
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“…This results in a dust ring of millimeter-sized dust, or radial dust trap (Pinilla et al 2012). The decrease in gas density due to companion clearing depends on the mass of the companion and other parameters such as the viscosity (Zhu et al 2011;Dodson-Robinson & Salyk 2011;Pinilla et al 2012;Mulders et al 2013;Fung et al 2014). Other effects that play a role in dynamic clearing are for example migration and planet accretion luminosity (e.g., Kley & Nelson 2012).…”
Section: Introductionmentioning
confidence: 99%
“…The depth and shape of the gap depend primarily on the planet mass and the disk viscosity (Zhu et al 2011;Pinilla et al 2012;Fung et al 2014). These models show that a planet does not create a steep gas gap, but a gradual decrease over several AUs.…”
Section: Introductionmentioning
confidence: 99%