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Alfvén solitons in a Fermionic quantum plasma
A J Keane1, A Mushtaq, M S Wheatland
1Sydney Institute for Astronomy, School of Physics, The University of Sydney, New South Wales 2006, Australia.
Summary
Alfvén envelope solitons propagate through quantum plasma, forming dressed density solitons. These stable structures, confirmed by numerical simulations, are relevant to dense astrophysical plasmas.
Area of Science:
- Plasma Physics
- Quantum Hydrodynamics
- Astrophysical Plasmas
Background:
- Alfvén waves are fundamental in magnetized plasmas.
- Quantum effects become significant in dense astrophysical environments.
Purpose of the Study:
- Investigate Alfvén envelope soliton propagation in Fermionic quantum plasma.
- Derive and solve governing equations for these solitons.
- Analyze the structure and stability of solitons.
Main Methods:
- Derived coupled Zakharov-type equations from Hall magnetohydrodynamics with quantum corrections.
- Numerically solved equations for time-independent and time-dependent cases.
- Analyzed soliton profiles and propagation characteristics.
Main Results:
- Identified dressed density solitons with Gaussian peaks and sinusoidal variations.
- Confirmed the stability and profile retention of solitons during propagation.
- Provided mathematical explanations for observed soliton behavior.
Conclusions:
- Fermionic quantum plasma supports stable Alfvén envelope solitons.
- These solitons exhibit unique density variation patterns.
- The findings have implications for understanding dense astrophysical plasmas, such as white dwarf interiors.
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