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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), 2022. 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
[1] Giannatale, G. Di., Falessi, M. V., Grasso, D., F. Pegoraro, F, and T. J. Schep, T. (2018), Coherent transport structures in magnetized plasmas. Phys. Plasmas 25.5 052307. Doi: 10.1063/1.5020163.
[2] Pegoraro, F., Bonfiglio, D., Cappello, S., Giannatale, G. Di., Falessi, M. V., Grasso, D., and Veranda, M. (2019). Coherent magnetic structures in self-organized plasmas. Plasma Phys. Control. Fusion 61 044003. Doi: 10.1103/118.083602.
[3] Scazza, F., Valtolina, G., Massignan, P., Recati, A., Amico, A., Burchianti, C., Fort, M. Inguscio, Fort. M., Zaccanti, M., and Roati, G. (2017), Repulsive Fermi Polarons in a Resonant Mixture of Ultracold 6Li Atoms, Physical Review Letters, 118 (8). Doi: 10.1103/118.083602.
[4] Schirotzek, A., Wu, C., Sommer, A., and Zwierlein, M. W. (2009). Observation of Fermi Polarons in a Tunable Fermi Liquid of Ultracold Atoms. Phys. Rev. Lett., 102 230402. Doi: 10.1103/102.230402.
[5] Torrejon, T. E., Gouveia, E. M., Pino, D., Kadowaki, L. H. S. (2021). Particle Acceleration by Relativistic Magnetic Reconnection Driven by Kink Instability Turbulence in Poynting Flux–Dominated Jets, ApJ, 908 193.
[6] Shahid, M. m and Murtaza, G. (2013). On the two-stream instability with electron spin effects, Phys. Plasmas 20, 082124. Doi: 10.1063/1.5101001.
[7] Grant, S., Jess, T. Zaqarashvili, D., Beck, C., SocasNavarro, H., Aschwanden, M., and R. Hewitt, R. (2018). Alfvén wave dissipation in the solar chromosphere, Nature Physics 14 480. Doi: 10.1038/s41567-018-0058-3.
[8] Sharma, P., and R. K. Chhajlani, (2015). Modified dispersion properties of lower hybrid wave with exchange correlation potential in ultra-relativistic degenerate plasma, Physics Letters A 21, 032101. Doi: 10.1016/2018.04.013.
[9] Uzdensky, D. A., and Rightley, S. (2014). Plasma physics of extreme astrophysical environments, NCBI 77, Issue 3, 036902. Doi: 10.1088/0034-4885/77/3/036902.
[10] Lancia L. (2014). Inhibition of fast electron energy deposition due to preplasma filling of cone-attached targets, American Institute of Physics. 15, 042706 Doi: 10.1063/1.2903054.
[11] Inhibition of fast electron energy deposition due to preplasma filling of cone-attached targets, 15, 042706. Doi: 10.1063/1.2903054.
[12] Altug A., Can, J. ((2021). Solutions of Pauli-Dirac Equation in terms of Laguerre Polynomials within Perturbative Scheme, Quantum Physics. Phys., 99, 778. Doi: 10.1139/cjp-2021-0013.
[13] Kaltsas, D. A., G. N. Throumoulopoulos, G. N., Morrison, P. J. (2021). Hamiltonian Kinetic-Hall magnetohydrodynamics with fluid and kinetic ions in the current and pressure coupling schemes, Vol 87 (5) Doi: 10.1017/s0022377821000994.
[14] Manda, D., Sharma, D., and Schamel, H. (2018). Electron hole instability as a primordial step towards sustained intermittent turbulence in linearly subcritical plasmas, New Journal of Physics,.20 3004. Doi: 10.1088/1367-2630.
[15] Hans J. Fahr. (2021). The MHD Plasma Flow Near the Heliopause Stagnation Region with A View On Kinetic Consistency, Advances in Theoretical & Computational Physics, 6, 1399. Doi: 10.33140/04.01.06.
[16] Guo-Liang Peng, Jun-Jie Zhang, Jian-Nan Chen, Tai-Jiao Du, and Hai-Yan Xie, (2021). Two typical collective behaviors of the heavy ions expanding in cold plasma with ambient magnetic field, 33, 076602. Doi: 10.1063/5.0053404.
[17] Jackson Kimball, D. F., Boyd, A., and Budker, D. (2010). onstraints on anomalous spin-spin interactions from spin-exchange collisions, Phys. Rev. A 82 062714. Doi; 10.1103/82.062714.
[18] Ivanov, A. N., and Wellenzohn, M. (2016). Spin precession of slow neutrons in Einstein-Cartan gravity with torsion, chameleon, and magnetic field, Phys. Rev. D 93 045031. Doi: 10.1103/PhysRevD.93.045031.
[19] Son, S., Ku, S., and Moon, S. J. (2013). Frequency downshift of Nd-YAG lasers and terahertz radiation, NIH., 17, 114506. Doi; 10.1364/38.004578.
[20] Kaltsas, D. A., Throumoulopoulos, G. N., and Morrison, P. J. (2021). Hamiltonian Kinetic-Hall Magnetohydrodynamics with fluid and kinetic ions in the current and pressure coupling schemes, 87 (5), 835870502. Doi: 10.1017/S0022377821000994.
[21] Angus, J. R., Swanekamp, S. B., Schumer, J. W., Hinshelwood, D. D., Mosher, D., and Ottinger, P. F. (2016). 21 48044914. Doi: 10.1063/1.4950840.
[22] Phelps, A. V., and Pitchford, L. C. Anisotropic scattering of electrons by N2N2 and its effect on electron transport, Phys. Rev. A 31, 2932–2949 (1985). Doi: 10.1103/31.2932.
[23] Niedziela, R., Murawski, K., Poedts, S. (2021). Chromospheric heating and generation of plasma outflows by impulsively generated two-fluid magnetoacoustic waves, A&A 652, A124. Doi: 10.1051/0004-6361/202141027.
[24] Swanekamp, S. B., Holloway, J. P., Kammash, T., and Gilgenbach, R. m. (1992). The theory and simulation of relativistic electron beam transport in the ion-focused regime, Phys. Fluids B 4, 1332–1348. Doi: 10.1063/1.860088.
[25] Richardson, A. S., Swanekamp, S. B., N. D. Isner,. Hinshelwood, N. D., Mosher, D., Adamson, P. E., Petrova, Tz. B., and Watkins, D. J. (2021). Modeling intense-electron-beam generated plasmas using a rigid-beam approximation, Physics of Plasmas 28, 093508. Doi: 10.1063/5.0058006.
[26] Boris, D. R., Petrov, G. M., Lock, H., Petrova, T. B., Fernsler, R. F., and Walton, S. G. ((2013). Controlling the electron energy distribution function of electron beam generated plasmas with molecular gas concentration: I. Experimental results, Plasma Sources Sci. Technol. 22, 065004. Doi: 10.1088/0963-0252/22/6/065004.
[27] Mahajam S., Asenjo F. (2007). Dynamics of Spin-1/2 Quantum Plasmas, Phys. Rev. Lett., 107, 195003. Doi: 10.1103/98.02500.
[28] Jinsoo Park, Jin-Jian Zhou, and Marco Bernardi, (2020). Phys. Rev. B 101, 045202. Doi; 10.1103/101.045202.
[29] Strecka, J., Karlova, K., Ghannada, A. (2021). Influence of a spatial anisotropy on presence of the intermediate one-half magnetization plateau of a spin-1/2 Ising–Heisenberg branched chain, J. Magn. Magn. Mater. 542. Doi: 10.1016/168547.
[30] Laura de Sousa Oliveira, S. Aria Hosseini, S. A., Greaney, A., and Neophytos Neophytou, (2020). Phys. Rev. B, 102, 20540. Doi: 10.1103/102.205405.
[31] Kiyoto Nakamura and Yoshitaka Tanimura, (2021). Open quantum dynamics theory for a complex subenvironment system with a quantum thermostat: Application to a spin heat bath, Chem. Phys. 155. Doi: 10.1063/5.0074047.
[32] S. Akhanjee and Y. Tserkovnyak, (2011). Critical exponents for the spin Coulomb drag in the Hubbard chain Journal of Applied Physics 109, 07E107 doi: 10.1063/1.3540286.
[33] Sponar, S., Sedmik, R. I. P., Pitschmann, M., Abele, H., and Hasegawa, Y. (2021). Tests of fundamental quantum mechanics and dark interactions with low-energy neutrons, Nature Rev. Phys. 3 309-327. Doi: 10.1038/s42254-021-00298-2.
[34] Ahmet Keleş and Erhai Zhao, (2016). Competing many-body instabilities in two-dimensional dipolar Fermi gases, Phys. Rev. A 94, 033616. Doi: 10.1103/94.033616.
[35] Zoran Ristivojevic and K. A. Matveev, K. A. (2021). Quasiparticle Energy Relaxation in a Gas of One-Dimensional Fermions with Coulomb Interaction, Phys. Rev. Lett. 127, 086803. Doi: 10.1103/127.086803.
[36] Zoran Ristivojevic, (2021). Exact result for the polaron mass in a one-dimensional gas, PHYSICAL REVIEW A, 104, 052218. Doi: 10.1103/104.052218.
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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