Instability of warped discs

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dc.contributor.authorDoğan S.
dc.contributor.authorNixon C.J.
dc.contributor.authorKing A.R.
dc.contributor.authorPringle J.E.
dc.date.accessioned2019-10-26T21:15:03Z
dc.date.available2019-10-26T21:15:03Z
dc.date.issued2018
dc.departmentEge Üniversitesien_US
dc.description.abstractAccretion discs are generally warped. If a warp in a disc is too large, the disc can 'break' apart into two or more distinct planes, with only tenuous connections between them. Further, if an initially planar disc is subject to a strong differential precession, then it can be torn apart into discrete annuli that precess effectively independently. In previous investigations, torquebalance formulae have been used to predict where and when the disc breaks into distinct parts. In this work, focusing on discs with Keplerian rotation and where the shearing motions driving the radial communication of the warp are damped locally by turbulence (the 'diffusive' regime), we investigate the stability of warped discs to determine the precise criterion for an isolated warped disc to break. We find and solve the dispersion relation, which, in general, yields three roots. We provide a comprehensive analysis of this viscous-warp instability and the emergent growth rates and their dependence on disc parameters. The physics of the instability can be understood as a combination of (1) a term that would generally encapsulate the classical Lightman-Eardley instability in planar discs (given by ?(v?)/?? < 0) but is heremodified by the warp to include ?(v1|?|)/?|?| < 0, and (2) a similar condition acting on the diffusion of the warp amplitude given in simplified form by ?(v2|?|)/?|?| < 0. We discuss our findings in the context of discs with an imposed precession, and comment on the implications for different astrophysical systems. © 2018 The Author(s).en_US
dc.description.sponsorshipUniversity of Leicester TÜB'TAK - 117F280 Science and Technology Facilities Council: ST/M005917/1en_US
dc.description.sponsorshipWe thank the referee for providing a helpful and detailed report. SD gratefully acknowledges the warm hospitality of the Theoretical Astrophysics Group at University of Leicester during her visit. SD is supported by the Turkish Scientific and Technical Research Council (TÜB'TAK - 117F280). CJN is supported by the Science and Technology Facilities Council (grant number ST/M005917/1). The Theoretical Astrophysics Group at the University of Leicester is supported by an STFC Consolidated Grant. --en_US
dc.identifier.doi10.1093/mnras/sty155
dc.identifier.endpage1531en_US
dc.identifier.issn0035-8711
dc.identifier.issn0035-8711en_US
dc.identifier.issue2en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage1519en_US
dc.identifier.urihttps://doi.org/10.1093/mnras/sty155
dc.identifier.urihttps://hdl.handle.net/11454/15946
dc.identifier.volume476en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherOxford University Pressen_US
dc.relation.ispartofMonthly Notices of the Royal Astronomical Societyen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectAccretionen_US
dc.subjectAccretion discsen_US
dc.subjectBlack hole physicsen_US
dc.subjectHydrodynamicsen_US
dc.subjectInstabilitiesen_US
dc.titleInstability of warped discsen_US
dc.typeArticleen_US

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