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Unraveling the dynamics of Lorentzian excitations in an ultra-relativistic degenerate plasma

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Abstract

The emergence of Lorentzian soliton is studied in an ultra-relativistic degenerate dense plasma by using the bifurcation technique. Based on the quantum hydrodynamic model for electrostatic excitations, the stability of possible equilibrium points is investigated which shows the occurrence of transcritical bifurcation. At the half-stable critical point, the plasma system supports a new localized structure with different tails from the regular solitons. According to the analytical solutions and phase portrait analysis, we find the effects of critical value of plasma density and Mach number on the appearance of Lorentzian solitons. Numerical simulations are performed to further verify the existence of the chaotic motions in the perturbed plasma system. The Lorentzian solitons at the bifurcation point undergo the onset of oscillatory instability, and the route from the stationary structure to the chaos state proceeds through quasi-periodic dynamics. The work presented here is related to electrostatic waves in dense astrophysical environment such as white dwarfs, neutron stars, and the core of massive planets.

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Funding

This work was supported by Babol Noshirvani University of Technology under Grant No. BNUT/391024/1402.

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Authors and Affiliations

  1. Department of Physics, Faculty of Basic Science, Babol Noshirvani University of Technology, Babol, 47148-71167, Iran

    F. Barmoodeh, H. Alinejad & M. Mahdavi

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  1. F. Barmoodeh
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  2. H. Alinejad
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  3. M. Mahdavi
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Contributions

F. B: Conceptualization, Methodology, Design, Formal analysis, Software, Writing. H. A: Supervision, Conceptualization, Validation, Writing, original draft. M. M: Software, Writing, review and editing

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Correspondence to H. Alinejad.

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Barmoodeh, F., Alinejad, H. & Mahdavi, M. Unraveling the dynamics of Lorentzian excitations in an ultra-relativistic degenerate plasma. Opt Quant Electron 56, 624 (2024). https://doi.org/10.1007/s11082-023-06275-6

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