We investigate the dynamics of the dust acoustic wave (DAW, low-fugacity) and the dust Coulomb wave (DCW, high-fugacity) in self-gravitating magnetized viscoelastic spherical dusty astroclouds. It consists of the inertial dust grains with variable charge alongside the nonthermal electrons and ions in a generalized hydrodynamic framework. A spherical wave analysis yields a unique generalized quadratic dispersion relation. The fluctuations are free from the viscoelasticity effects in the weakly coupled limit (WCL) against the strongly coupled limit (SCL). The electron concentration, dust charge, and magnetic field act as stabilizing and accelerating agencies. The ion density and nonthermality parameters show destabilizing and decelerating effects. The cloud size shows a unique stabilizing feature in the ultralow-frequency domain. Both the DAW and DCW are dispersive in the short-wavelength (acoustic) regime and nondispersive in the long-wavelength (gravitational) regime. The distinctive WCL–SCL scenarios are explicitly compared. The results show correlative consistencies in real astronomic circumstances sketchily.

Graphical abstract

The dust acoustic wave (DAW) and the dust Coulomb wave (DCW) in self-gravitating magnetized viscoelastic spherical dusty astroclouds with extreme dust-fugacity moderations are explored. The spatiospectral profiles of (a) \(\Omega_{r}\) and (b) \(\Omega_{i}\) with \(K\) and \(\xi\) in the SCL (upper row) and in the WCL (lower row) of the HFR in the \(\kappa\)-case are numerically portrayed.

中文翻译：

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球形磁化粘弹性星云中激发的适应性不稳定性，尘埃烟度适度

我们研究了在自重磁化的粘弹性球形尘埃状星云中尘埃声波（DAW，低烟度）和库仑尘埃（DCW，高烟度）的动力学。它由具有可变电荷的惯性尘埃颗粒以及非热电子和离子组成，并具有广义流体力学框架。球面波分析产生唯一的广义二次方色散关系。该波动不受弱耦合极限（WCL）和强耦合极限（SCL）的粘弹性影响。电子浓度，尘埃电荷和磁场起着稳定和加速的作用。离子密度和非热性参数显示出不稳定和减速作用。云的大小在超低频域中显示出独特的稳定功能。DAW和DCW都在短波（声学）状态下是分散的，而在长波（重力）状态下是不分散的。明确比较了独特的WCL–SCL方案。结果粗略地显示了在实际天文环境中的相关一致性。

图形概要

研究了自重磁化的粘尘球形尘土星云中尘埃声波（DAW）和库仑尘埃波（DCW），其中尘埃烟度适度。SCL（上排）中的（a）\（\ Omega_ {r} \）和（b）\（\ Omega_ {i} \）的时空光谱图以及\（K \）和\（\ xi \）用数字描绘了\（\ kappa \）情况下HFR的WCL（下一行）中的数字。