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Alpha-Viscosity Effects in Slender Tori

机译:细长花托的α-粘度效应

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WeexploreeffectsoftheShakuraa€“Sunyaev$$alpha$$-viscosityonthedynamicsandoscillationsofslendertori.Westartwithaslowsecularevolutionofthetorus.Weshowthattheangular-momentumprofileapproachestheKeplerianoneonatimescalelongerthanadynamicalonebyafactorontheorderof1$$/alpha$$.Wethenfocusourattentionontheoscillationsofthetorus.Wediscusstheeffectsofvariousangular-momentumdistributions.Usingaperturbationtheory,wehavefoundarathergeneralresultthatthehigh-orderacousticmodesaredampedbytheviscosity,whilethehigh-orderinertialmodesareenhanced.Wecalculateviscousgrowthratesforthelowest-ordermodes,andshowthatalreadythelowest-orderinertialmodeisunstableforless-steepangular-momentumprofiles,orveryclosetothecentralgravitatingobject.
机译:WeexploreeffectsoftheShakuraa€“Sunyaev阿尔法$$ - viscosityonthedynamicsandoscillationsofslendertori.Westartwithaslowsecularevolutionofthetorus.Weshowthattheangular momentumprofileapproachestheKeplerianoneonatimescalelongerthanadynamicalonebyafactorontheorderof1 $$ /阿尔法$$ Wethenfocusourattentionontheoscillationsofthetorus.Wediscusstheeffectsofvariousangular momentumdistributions.Usingaperturbationtheory,wehavefoundarathergeneralresultthatthehigh orderacousticmodesaredampedbytheviscosity,whilethehigh orderinertialmodesareenhanced.Wecalculateviscousgrowthratesforthelowest ordermodes,andshowthatalreadythelowest orderinertialmodeisunstableforless steepangular-动量轮廓,或非常靠近中央重力物体。

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