Resonant Excitation of Disk Oscillations in Deformed Disks. VI. Stability Criterion Revisited

Kato Shoji

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Resonant Excitation of Disk Oscillations in Deformed Disks. VI. Stability Criterion Revisited

机译：变形磁盘中磁盘振荡的共振激励。 VI。再谈稳定性标准

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Were-examinetheexcitationofasetofdiskoscillationsinadeformeddiskbyaresonantprocess.Weassumethatthediskisdeformedfromanaxisymmetricsteadystatebyanoscillatorydeformationwithfrequency$$omega_{ mD}$$andazimuthalwavenumber$$m_{ mD}$$.Then,weconsidertwonormalmodeoscillationswithasetoffrequenciesandtheazimuthalwavenumberbeing($$omega_1,m_1$$)and($$omega_2,m_2$$)andsatisfyingtheresonantconditions($$omega_1+omega_2+omega_{ mD}=$$0and$$m_1+m_2+m_{ mD}=$$0).Theseoscillationsareresonantlyexcitedif$$E_1E_2gt$$0,where$$E_1$$and$$E_2$$arethewaveenergiesoftheabovetwooscillations,whenthedeformationismaintainedbyexternalforces,orhasalargeamplitudecomparedwiththeoscillations.Thisinstabilityconditionisrathergeneralaslongastheunperturbeddensityandpressurevanishonthesurfaceofthesystem.Thepossibilityofapplicationstosuperhumpsandnegativesuperhumpsinthesuperoutburststateofdwarfnovaearebrieflydiscussed.

机译：是-examinetheexcitationofasetofdiskoscillationsinadeformeddiskbyaresonantprocess.Weassumethatthediskisdeformedfromanaxisymmetricsteadystatebyanoscillatorydeformationwithfrequency $$ omega_ {毫达西} $$ andazimuthalwavenumber $$ M_ {毫达西} $$。然后，weconsidertwonormalmodeoscillationswithasetoffrequenciesandtheazimuthalwavenumberbeing（$$ omega_1，M_1 $$）和（$$ omega_2，M_2 $$）andsatisfyingtheresonantconditions（$$ omega_1 + omega_2 + omega_ {mD} = $$ 0和$$ m_1 + m_2 + m_ {mD} = $$ 0）。如果$$ E_1E_2gt $$ 0时，这些振荡会被谐振，其中，$ E_1 $$和$$ E_2 $$随振幅的增大而保持不变，而振幅随振幅的增大而增大。这种不稳定状况通常会随着系统表面上扰动的密度和压力的消失而消失。在讨论超新星爆发的脑虫的超级爆发状态下，超级驼峰和负超级驼峰的应用可能性已得到讨论。

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《PASJ: Publications of the Astronomical Society of Japan》 |2013年第4期|共页
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Kato Shoji;
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机译：变形磁盘中磁盘振动的共振激发。 VI。再谈稳定性标准
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6. Resonant Excitation of Disk Oscillations in Deformed Disks VI: Stability Criterion Revisited [O] . 2016

机译：变形盘中盘振动的共振激发VI：再论稳定性判据

Resonant Excitation of Disk Oscillations in Deformed Disks. VI. Stability Criterion Revisited

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