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Rayleigh adjustment of narrow barriers in protoplanetary discs

Yang, Chao-Chin LU and Menou, Kristen (2010) In Monthly Notices of the Royal Astronomical Society 402(4). p.2436-2440
Abstract
Sharp density features in protoplanetary discs, for instance at the edge of a magnetically dead zone, have recently been proposed as effective barriers to slow down or even stop the problematically fast migration of planetary cores into their central star. Density features on a radial scale approaching the disc vertical scaleheight might not exist, however, since they could be Rayleigh (or more generally Solberg-Høiland) unstable. Stability must be checked explicitly in one-dimensional viscous accretion disc models because these instabilities are artificially eliminated in the process of reducing the full set of axisymmetric equations. The disc thermodynamics, via the entropy stratification, and its vertical structure also influence... (More)
Sharp density features in protoplanetary discs, for instance at the edge of a magnetically dead zone, have recently been proposed as effective barriers to slow down or even stop the problematically fast migration of planetary cores into their central star. Density features on a radial scale approaching the disc vertical scaleheight might not exist, however, since they could be Rayleigh (or more generally Solberg-Høiland) unstable. Stability must be checked explicitly in one-dimensional viscous accretion disc models because these instabilities are artificially eliminated in the process of reducing the full set of axisymmetric equations. The disc thermodynamics, via the entropy stratification, and its vertical structure also influence stability when sharp density features are present. We propose the concept of Rayleigh adjustment for viscous disc models: any density feature that violates Rayleigh stability (or its generalization) should be diffused radially by hydrodynamical turbulence on a dynamical time-scale, approaching marginal stability in a quasi-continuous manner. (Less)
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author
publishing date
type
Contribution to journal
publication status
published
subject
keywords
accretion accretion discs hydrodynamics instabilities planetary systems: formation planetary systems: protoplanetary discs
in
Monthly Notices of the Royal Astronomical Society
volume
402
issue
4
pages
2436 - 2440
publisher
Wiley-Blackwell
external identifiers
  • Scopus:77950933460
ISSN
1365-2966
DOI
10.1111/j.1365-2966.2009.16047.x
language
English
LU publication?
no
id
198107b6-271e-42bc-a8c5-feea5174971e (old id 4361487)
date added to LUP
2014-03-20 16:41:02
date last changed
2016-10-13 04:42:37
@misc{198107b6-271e-42bc-a8c5-feea5174971e,
  abstract     = {Sharp density features in protoplanetary discs, for instance at the edge of a magnetically dead zone, have recently been proposed as effective barriers to slow down or even stop the problematically fast migration of planetary cores into their central star. Density features on a radial scale approaching the disc vertical scaleheight might not exist, however, since they could be Rayleigh (or more generally Solberg-Høiland) unstable. Stability must be checked explicitly in one-dimensional viscous accretion disc models because these instabilities are artificially eliminated in the process of reducing the full set of axisymmetric equations. The disc thermodynamics, via the entropy stratification, and its vertical structure also influence stability when sharp density features are present. We propose the concept of Rayleigh adjustment for viscous disc models: any density feature that violates Rayleigh stability (or its generalization) should be diffused radially by hydrodynamical turbulence on a dynamical time-scale, approaching marginal stability in a quasi-continuous manner.},
  author       = {Yang, Chao-Chin and Menou, Kristen},
  issn         = {1365-2966},
  keyword      = {accretion accretion discs hydrodynamics instabilities planetary systems: formation planetary systems: protoplanetary discs},
  language     = {eng},
  number       = {4},
  pages        = {2436--2440},
  publisher    = {ARRAY(0xa237fe8)},
  series       = {Monthly Notices of the Royal Astronomical Society},
  title        = {Rayleigh adjustment of narrow barriers in protoplanetary discs},
  url          = {http://dx.doi.org/10.1111/j.1365-2966.2009.16047.x},
  volume       = {402},
  year         = {2010},
}