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A magnetohydrodynamic model for quantum plasmas
Abstract
The quantum hydrodynamic model for charged particle systems is extended to the cases of nonzero magnetic fields. In this way, quantum corrections to magnetohydrodynamics are obtained starting from the quantum hydrodynamical model with magnetic fields. The importance of the quantum corrections is described by a parameter H which can be significant in dense astrophysical plasmas. The quantum magnetohydrodynamic model is analyzed in the infinite conductivity limit. The conditions for equilibrium in ideal quantum magnetohydrodynamics are established. Translationally invariant exact equilibrium solutions are obtained in the case of the ideal quantum magnetohydrodynamic model.
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Citations
Cited by
Colloquium : Nonlinear collective interactions in quantum plasmas with degenerate electron fluids
Shukla, P. K., & Eliasson, B. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.885 · Cited by 477
Dynamics of Spin-12Quantum Plasmas
Marklund, M., & Brodin, G. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.025001 · Cited by 465
Quantum hydrodynamic model for the nonlinear electron dynamics in thin metal films
Crouseilles, N., Hervieux, P.-A., & Manfredi, G. (2008) · Physical Review B · doi:10.1103/physrevb.78.155412 · Cited by 346
Nematizadeh Juneghani, S., Bagheri, M., & Shokri, B. (2021) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2021/09/002 · Cited by 2
Metadata
- Authors
- Haas, F.
- Venue
- Physics of Plasmas
- Publisher
- AIP Publishing
- Published
- 2005-06-01
- Volume
- 12
- Issue
- 6
- ISSN
- 1070-664X (ISSN-L)
- 1089-7674
- OpenAlex
- W2083860895
- Cited by
- 484
- References
- 0
- FWCI
- 15.78
- Type
- journal article
- Language
- en
- Open access
- closed
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- Haas, F. (2005). A magnetohydrodynamic model for quantum plasmas. Physics of Plasmas. https://doi.org/10.1063/1.1939947
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