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Magnetized Two-Fluid Spin Quantum Plasmas and Impurity Effect

Received: 10 December 2021    Accepted: 5 January 2022    Published: 14 June 2022
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Abstract

In an electron-ion plasma, ions can consider are fixed and electrons moving due to the high mass of ions relative to electrons. In a piece of metal, free electrons are almost like electrons in a plasma, and ions are stationary. By applying electric and magnetic fields, the behavior of these electrons can be predicted by studing the two-fluid electron-ion model. This paper derives a set of two-fluid (electron-ion) plasma equations based on the quantum magnetic hydrodynamic model (QMHD) for each of the two electron-ion fluids. We consider the electron-ion as two different types of particles and follow a path for discussion that is different from the usual path and obtain new dispersion equations. We consider the two regimes of non-spin and spin plasma separately and analyze the propagation of waves that correspond to perturbations in parallel and perpendicular to the external magnetic field, and obtain their vibrational modes. Then we return to the subject of the metal part and the ions and set the flow velocity of the ions to zero. Finally, we consider a one-dimensional grid of ions, at any given length L0, with one electron impurity as a Fermi polaron. We study its effect on ground state energy. Due to the long-range nature of the electron-ion interaction, these systems have several properties distinct from their ordinary counterparts such as the simultaneous presence of several stable. Surprisingly, the residue of electrons is shown to increase with the Fermi density for fixed interaction strength.

Published in American Journal of Modern Physics (Volume 11, Issue 3)
DOI 10.11648/j.ajmp.20221103.12
Page(s) 60-66
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Fermi Polaron, Magnetized Two-Fluid Spin Quantum Plasmas, Quantum Hydrodynamic Plasmas, Spin-Spin Interaction, Spin-Magnetic Field Coupling

References
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Cite This Article
  • APA Style

    Farshid Nooralishahi, Mohammad Kazem Salem, Mohammad Reza Tanhayi. (2022). Magnetized Two-Fluid Spin Quantum Plasmas and Impurity Effect. American Journal of Modern Physics, 11(3), 60-66. https://doi.org/10.11648/j.ajmp.20221103.12

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    ACS Style

    Farshid Nooralishahi; Mohammad Kazem Salem; Mohammad Reza Tanhayi. Magnetized Two-Fluid Spin Quantum Plasmas and Impurity Effect. Am. J. Mod. Phys. 2022, 11(3), 60-66. doi: 10.11648/j.ajmp.20221103.12

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    AMA Style

    Farshid Nooralishahi, Mohammad Kazem Salem, Mohammad Reza Tanhayi. Magnetized Two-Fluid Spin Quantum Plasmas and Impurity Effect. Am J Mod Phys. 2022;11(3):60-66. doi: 10.11648/j.ajmp.20221103.12

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  • @article{10.11648/j.ajmp.20221103.12,
      author = {Farshid Nooralishahi and Mohammad Kazem Salem and Mohammad Reza Tanhayi},
      title = {Magnetized Two-Fluid Spin Quantum Plasmas and Impurity Effect},
      journal = {American Journal of Modern Physics},
      volume = {11},
      number = {3},
      pages = {60-66},
      doi = {10.11648/j.ajmp.20221103.12},
      url = {https://doi.org/10.11648/j.ajmp.20221103.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20221103.12},
      abstract = {In an electron-ion plasma, ions can consider are fixed and electrons moving due to the high mass of ions relative to electrons. In a piece of metal, free electrons are almost like electrons in a plasma, and ions are stationary. By applying electric and magnetic fields, the behavior of these electrons can be predicted by studing the two-fluid electron-ion model. This paper derives a set of two-fluid (electron-ion) plasma equations based on the quantum magnetic hydrodynamic model (QMHD) for each of the two electron-ion fluids. We consider the electron-ion as two different types of particles and follow a path for discussion that is different from the usual path and obtain new dispersion equations. We consider the two regimes of non-spin and spin plasma separately and analyze the propagation of waves that correspond to perturbations in parallel and perpendicular to the external magnetic field, and obtain their vibrational modes. Then we return to the subject of the metal part and the ions and set the flow velocity of the ions to zero. Finally, we consider a one-dimensional grid of ions, at any given length L0, with one electron impurity as a Fermi polaron. We study its effect on ground state energy. Due to the long-range nature of the electron-ion interaction, these systems have several properties distinct from their ordinary counterparts such as the simultaneous presence of several stable. Surprisingly, the residue of electrons is shown to increase with the Fermi density for fixed interaction strength.},
     year = {2022}
    }
    

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  • TY  - JOUR
    T1  - Magnetized Two-Fluid Spin Quantum Plasmas and Impurity Effect
    AU  - Farshid Nooralishahi
    AU  - Mohammad Kazem Salem
    AU  - Mohammad Reza Tanhayi
    Y1  - 2022/06/14
    PY  - 2022
    N1  - https://doi.org/10.11648/j.ajmp.20221103.12
    DO  - 10.11648/j.ajmp.20221103.12
    T2  - American Journal of Modern Physics
    JF  - American Journal of Modern Physics
    JO  - American Journal of Modern Physics
    SP  - 60
    EP  - 66
    PB  - Science Publishing Group
    SN  - 2326-8891
    UR  - https://doi.org/10.11648/j.ajmp.20221103.12
    AB  - In an electron-ion plasma, ions can consider are fixed and electrons moving due to the high mass of ions relative to electrons. In a piece of metal, free electrons are almost like electrons in a plasma, and ions are stationary. By applying electric and magnetic fields, the behavior of these electrons can be predicted by studing the two-fluid electron-ion model. This paper derives a set of two-fluid (electron-ion) plasma equations based on the quantum magnetic hydrodynamic model (QMHD) for each of the two electron-ion fluids. We consider the electron-ion as two different types of particles and follow a path for discussion that is different from the usual path and obtain new dispersion equations. We consider the two regimes of non-spin and spin plasma separately and analyze the propagation of waves that correspond to perturbations in parallel and perpendicular to the external magnetic field, and obtain their vibrational modes. Then we return to the subject of the metal part and the ions and set the flow velocity of the ions to zero. Finally, we consider a one-dimensional grid of ions, at any given length L0, with one electron impurity as a Fermi polaron. We study its effect on ground state energy. Due to the long-range nature of the electron-ion interaction, these systems have several properties distinct from their ordinary counterparts such as the simultaneous presence of several stable. Surprisingly, the residue of electrons is shown to increase with the Fermi density for fixed interaction strength.
    VL  - 11
    IS  - 3
    ER  - 

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Author Information
  • Plasma Physics Research Center, Science and Research Branch Islamic Azad University, Tehran, Iran

  • Plasma Physics Research Center, Science and Research Branch Islamic Azad University, Tehran, Iran

  • Central Tehran Branch, Islamic Azad University, Tehran, Iran

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