Abstract
The study is the description of a three fluid (electrons, ions, and negatively charged dust grains) model of dusty plasmas which is a strong coupling between the magnetic field and the fluid aspects of the plasma. The generalized vorticities and the associated flows become parallel to each other by satisfying the Beltrami condition. Having solved the steady-state solutions with the Ampère's law for the magnetic field has given rise to a quadruple Beltrami state. The self-organized state has four scale parameters. The dynamics of the magnetic field are illustrated graphically in the x–y plane. The characteristics of the self-organized structures are strongly influenced by the scale parameters and the mass of the negatively charged dust grains. The equilibria magnetic field structures for the Earth's mesosphere revealed diamagnetic behavior. A transition into a paramagnetic state from a diamagnetic state was observed by slightly decreasing the mass of the dust grains. This identification can be useful to study and understand the noctilucent cloud and polar mesospheric summer echo in the Earth's mesosphere. The current study will be suitable to study the environmental and defense science. Moreover, this work will be fruitful to understand the environment of the planet Earth in the future.
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