Investigating Nonlinear Dynamics in Quantum Magnetoplasmas: Acoustic Solitons in Dense Electron-Positron Systems
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2022
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| _version_ | 1866901078972301312 |
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| author | Dr. Sofia Jensen and Prof. Julian Lee |
| author_facet | Dr. Sofia Jensen and Prof. Julian Lee |
| contents | <p>—Propagation of nonlinear acoustic wave in dense electron-positron (e-p) plasmas in the presence of an external magnetic field and stationary ions (to neutralize the plasma background) is studied. By means of the quantum hydrodynamics model and applying the reductive perturbation method, the ZakharovKuznetsov equation is derived. Using the bifurcation theory of planar dynamical systems, the compressive structure of electrostatic solitary wave and periodic travelling waves is found. The numerical results show how the ion density ratio, the ion cyclotron frequency, and the direction cosines of the wave vector affect the nonlinear electrostatic travelling waves. The obtained results may be useful to better understand the obliquely nonlinear electrostatic travelling wave of small amplitude localized structures in dense magnetized quantum ep plasmas and may be applicable to study the particle and energy transport mechanism in compact stars such as the interior of massive white dwarfs etc</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19326062 |
| institution | Zenodo |
| language | |
| publishDate | 2022 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Investigating Nonlinear Dynamics in Quantum Magnetoplasmas: Acoustic Solitons in Dense Electron-Positron Systems Dr. Sofia Jensen and Prof. Julian Lee Bifurcation theory magnetized electron-positron plasma phase portrait the Zakharov-Kuznetsov equation. <p>—Propagation of nonlinear acoustic wave in dense electron-positron (e-p) plasmas in the presence of an external magnetic field and stationary ions (to neutralize the plasma background) is studied. By means of the quantum hydrodynamics model and applying the reductive perturbation method, the ZakharovKuznetsov equation is derived. Using the bifurcation theory of planar dynamical systems, the compressive structure of electrostatic solitary wave and periodic travelling waves is found. The numerical results show how the ion density ratio, the ion cyclotron frequency, and the direction cosines of the wave vector affect the nonlinear electrostatic travelling waves. The obtained results may be useful to better understand the obliquely nonlinear electrostatic travelling wave of small amplitude localized structures in dense magnetized quantum ep plasmas and may be applicable to study the particle and energy transport mechanism in compact stars such as the interior of massive white dwarfs etc</p> |
| title | Investigating Nonlinear Dynamics in Quantum Magnetoplasmas: Acoustic Solitons in Dense Electron-Positron Systems |
| topic | Bifurcation theory magnetized electron-positron plasma phase portrait the Zakharov-Kuznetsov equation. |
| url | https://doi.org/10.5281/zenodo.19326062 |