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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >New nonlinear eigenmodes of a self-gravitating spherical charged dust molecular cloud
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New nonlinear eigenmodes of a self-gravitating spherical charged dust molecular cloud

机译：自重力球形带电尘埃分子云的新非线性本征模

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摘要

We present a nonlinear stability analysis for an idealistic field-free hydrodynamic model of a self-gravitating massive charged dust molecular cloud in the presence of dust grain velocity convection. Identical spherical dust grains are equally charged, but the cloud as a whole is electrically neutral on the Jeans scale. Application of a multiscale analytical method shows that the self-gravitational potential fluctuation dynamics is governed by a new type of modified Kortewegde VriesBurger equation that has a self-consistent linear driving derivative source arising from dust flow convection. A detailed numerical analysis of the eigenmode structures in the steady state is carried out. It is found that the self-gravitational potential fluctuations contribute in the form of new oscillatory shock-like structures because of gravito-electrostatic coupling. The distinctive features of the eigenmode profiles are discussed in detail. In addition, the main conclusions relevant to the astrophysical context are briefly presented.
机译：我们提出了一个理想的无场流体动力学模型的非线性稳定性分析，该模型具有自重的带电尘埃分子云，在存在尘埃颗粒速度对流的情况下。相同的球形尘埃颗粒带相等电荷，但整个云在Jeans尺度上是电中性的。多尺度分析方法的应用表明，自重势势波动动力学受新型的改进的Kortewegde VriesBurger方程控制，该方程具有由尘埃流对流引起的自洽线性驱动导数源。对稳态下的本征模结构进行了详细的数值分析。发现由于重力-静电耦合，自重势能波动以新的振荡冲击样结构的形式起作用。详细讨论了本征模态特征的独特特征。此外，简要介绍了与天体物理学有关的主要结论。

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