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Theory for nucleus-acoustic waves in warm degenerate quantum plasmas

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Abstract

The linear and nonlinear properties of degenerate pressure driven nucleus-acoustic waves in a warm degenerate multi-nucleus quantum plasma medium have been theoretically studied. The constituents of warm degenerate multi-nucleus plasma system are non- and ultra-relativistically degenerate electron species, warm adiabatic light and heavy ions/nuclei elements. The standard pseudo-potential method has been used to study the arbitrary amplitude nucleus-acoustic solitary pulses. We have shown that depending on the value of heavy nucleus number density, our plasma system allows the existence of nucleus-acoustic solitary pulses associated with positive electrostatic potential. It is also found that the rise of adiabatic temperature of non-degenerate light or heavy nucleus species significantly modifies the basic properties (viz. phase speed, amplitude, and width) of solitary waves. The results are useful for understanding the basic properties of nucleus-acoustic mode in astrophysical compact objects, space, and laboratory plasma environments.

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Acknowledgements

The author is very grateful to the Alexander von Humboldt (AvH) Foundation (Bonn, Germany) and Professor Dr. Tomáš Dohnal (Institut für Mathematik, Martin Luther Universität Halle-Wittenberg, Halle (Saale), Germany) for their supports in getting the AvH Return Fellowship (just after completion of the author’s AvH Postdoctoral Research Fellowship). The author would also like to thanks Professor Dr. A A Mamun (Department of Physics, Jahangirnagar University, Dhaka, Bangladesh) for his helpful scientific discussions during the course of this work.

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Correspondence to Abdul Mannan.

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Mannan, A. Theory for nucleus-acoustic waves in warm degenerate quantum plasmas. Rev. Mod. Plasma Phys. 6, 3 (2022). https://doi.org/10.1007/s41614-022-00066-4

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  • DOI: https://doi.org/10.1007/s41614-022-00066-4

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