Rayleigh adjustment of narrow barriers in protoplanetary discs
(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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4361487
- author
- Yang, Chao-Chin LU and Menou, Kristen
- publishing date
- 2010
- 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
- Oxford University Press
- 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
- 2016-04-04 10:53:05
- date last changed
- 2022-02-28 19:03:43
@article{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}},
keywords = {{accretion accretion discs hydrodynamics instabilities planetary systems: formation planetary systems: protoplanetary discs}},
language = {{eng}},
number = {{4}},
pages = {{2436--2440}},
publisher = {{Oxford University Press}},
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}},
doi = {{10.1111/j.1365-2966.2009.16047.x}},
volume = {{402}},
year = {{2010}},
}