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Dispersion Relation of Waves in Hot Plasma Located in Rotating Electromagnetic Field

Received: 30 October 2015     Accepted: 25 November 2015     Published: 16 January 2016
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Abstract

The procedure used to obtain the expression of the dielectric tensor of cold plasma in a rotating electromagnetic field has been presented in our previous paper. We used this procedure to derivate the dielectric tensor for hot plasma in a rotating electromagnetic field. By means of the expression of dielectric tensor which expresses the linear response of plasma, we derived, discussed and compared the dispersion relation for waves in hot plasma with the one obtained for cold plasma located in a rotating electromagnetic field. This dispersion relation, which is , depends on three variables: wave's vector , angular frequency Ω and temperature parameter Ta of particles kind ''a''. The super fix "c" means "hot" in this relation. We observed that more the temperature is higher, more is the electrical conductivity of plasma (weak is the resistivity of hot plasma). The study revealed that the dispersion relation has a temperature parameter in its exponential part. We observe also that: 1) when the temperature parameter Ta tends to zero, the exponential factor tends to unity.  is the dispersion relation of cold plasma, where the super fix "f" means "cold". 2) the temperature parameter Ta tends to infinity when exponential factor tends to zero.  is the limit case of dispersion relation of hot plasma.

Published in American Journal of Physics and Applications (Volume 4, Issue 1)
DOI 10.11648/j.ajpa.20160401.11
Page(s) 1-4
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), 2016. Published by Science Publishing Group

Keywords

Dispersion Relation, Waves in Hot Plasma, Dielectric Tensor

References
[1] KAZADI M.B, LIYOKO .M and NYAMU M, Physica Scripta, 80, 2009).
[2] Hui-Bin Qiu, Hai-Ying Song and Shi-Bing Liu, Physica Scripta, Vol. 90, N° 10, 1402 (2015).
[3] Daniel Verscharen and Benjamin D. G. Chandran, Astrophys. J., vol. 764, N° 88, 1-12 (2013).
[4] L.F. Ziebell and R.S. Schneider, Brazilian Journal of Physics, Vol. 34, N°3B, 1211-1223 (2004).
[5] D. Verscharen et al., The Astrophysical Journal, Vol. 773, N°8, 1-8 (2013).
[6] Jun Zhu and Peiyong Ji, Plasma Phys Control. Fusion, Vol 54, N° 6 2012.
[7] Roland H. T. and Nikolaos K. U., Radiowaves and Polaritons in Anisotropic Media, (WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim, 2006).
[8] Chen, F. F., Introduction to Plasma Physics, (New York: Plenum. 1974).
[9] Akutsu T. and Fukuyama A., J. Plasma Fusion. SERIES. Vol. 6, 164-168 (2004).
[10] S.S. Pavlov, Problems of Atomic Science And Technology, 2011. № 1. 53 Series: Plasma Physics (17), p. 53-55.
[11] LOFO L.B. and KAZADI M.B., Physica Scripta, 54, 370 - 375, (1996).
[12] KAZADI M.B and LOFO L.B., Physica Scripta, 58, 496-498, (1998).
[13] Jean Louis D. et Abraham B, Physique des plasmas 1, savoir actuels Inter Editions / CNRS Editions, Paris, (France) 1994.
[14] KAZADI M B, Sur le tenseur diélectrique du plasma dans un champ électromagnétique en rotation, Mémoire de Licence, Faculté des Sciences, Département Physique, Université de Kinshasa, (Kinshasa avril 1988), (inédit).
[15] T. H. Stix, The theory of plasma waves, (AIP, New York, 1992).
[16] Klimontovich, Yu. L., “The Statistical Theory of Non equilibrium processes in a Plasma”, (Pergamon Press Ltd, London, 1967).
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    Albert Kazadi Mukenga Bantu, Nyamu Molibi, Liyoko Mboyo, Alain Musongela Lubo, Philippe Badibanga Mudibu. (2016). Dispersion Relation of Waves in Hot Plasma Located in Rotating Electromagnetic Field. American Journal of Physics and Applications, 4(1), 1-4. https://doi.org/10.11648/j.ajpa.20160401.11

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    Albert Kazadi Mukenga Bantu; Nyamu Molibi; Liyoko Mboyo; Alain Musongela Lubo; Philippe Badibanga Mudibu. Dispersion Relation of Waves in Hot Plasma Located in Rotating Electromagnetic Field. Am. J. Phys. Appl. 2016, 4(1), 1-4. doi: 10.11648/j.ajpa.20160401.11

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    AMA Style

    Albert Kazadi Mukenga Bantu, Nyamu Molibi, Liyoko Mboyo, Alain Musongela Lubo, Philippe Badibanga Mudibu. Dispersion Relation of Waves in Hot Plasma Located in Rotating Electromagnetic Field. Am J Phys Appl. 2016;4(1):1-4. doi: 10.11648/j.ajpa.20160401.11

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  • @article{10.11648/j.ajpa.20160401.11,
      author = {Albert Kazadi Mukenga Bantu and Nyamu Molibi and Liyoko Mboyo and Alain Musongela Lubo and Philippe Badibanga Mudibu},
      title = {Dispersion Relation of Waves in Hot Plasma Located in Rotating Electromagnetic Field},
      journal = {American Journal of Physics and Applications},
      volume = {4},
      number = {1},
      pages = {1-4},
      doi = {10.11648/j.ajpa.20160401.11},
      url = {https://doi.org/10.11648/j.ajpa.20160401.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajpa.20160401.11},
      abstract = {The procedure used to obtain the expression of the dielectric tensor of cold plasma in a rotating electromagnetic field has been presented in our previous paper. We used this procedure to derivate the dielectric tensor for hot plasma in a rotating electromagnetic field. By means of the expression of dielectric tensor which expresses the linear response of plasma, we derived, discussed and compared the dispersion relation for waves in hot plasma with the one obtained for cold plasma located in a rotating electromagnetic field. This dispersion relation, which is , depends on three variables: wave's vector , angular frequency Ω and temperature parameter Ta of particles kind ''a''. The super fix "c" means "hot" in this relation. We observed that more the temperature is higher, more is the electrical conductivity of plasma (weak is the resistivity of hot plasma). The study revealed that the dispersion relation has a temperature parameter in its exponential part. We observe also that: 1) when the temperature parameter Ta tends to zero, the exponential factor tends to unity.  is the dispersion relation of cold plasma, where the super fix "f" means "cold". 2) the temperature parameter Ta tends to infinity when exponential factor tends to zero.  is the limit case of dispersion relation of hot plasma.},
     year = {2016}
    }
    

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    T1  - Dispersion Relation of Waves in Hot Plasma Located in Rotating Electromagnetic Field
    AU  - Albert Kazadi Mukenga Bantu
    AU  - Nyamu Molibi
    AU  - Liyoko Mboyo
    AU  - Alain Musongela Lubo
    AU  - Philippe Badibanga Mudibu
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    N1  - https://doi.org/10.11648/j.ajpa.20160401.11
    DO  - 10.11648/j.ajpa.20160401.11
    T2  - American Journal of Physics and Applications
    JF  - American Journal of Physics and Applications
    JO  - American Journal of Physics and Applications
    SP  - 1
    EP  - 4
    PB  - Science Publishing Group
    SN  - 2330-4308
    UR  - https://doi.org/10.11648/j.ajpa.20160401.11
    AB  - The procedure used to obtain the expression of the dielectric tensor of cold plasma in a rotating electromagnetic field has been presented in our previous paper. We used this procedure to derivate the dielectric tensor for hot plasma in a rotating electromagnetic field. By means of the expression of dielectric tensor which expresses the linear response of plasma, we derived, discussed and compared the dispersion relation for waves in hot plasma with the one obtained for cold plasma located in a rotating electromagnetic field. This dispersion relation, which is , depends on three variables: wave's vector , angular frequency Ω and temperature parameter Ta of particles kind ''a''. The super fix "c" means "hot" in this relation. We observed that more the temperature is higher, more is the electrical conductivity of plasma (weak is the resistivity of hot plasma). The study revealed that the dispersion relation has a temperature parameter in its exponential part. We observe also that: 1) when the temperature parameter Ta tends to zero, the exponential factor tends to unity.  is the dispersion relation of cold plasma, where the super fix "f" means "cold". 2) the temperature parameter Ta tends to infinity when exponential factor tends to zero.  is the limit case of dispersion relation of hot plasma.
    VL  - 4
    IS  - 1
    ER  - 

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Author Information
  • Department of Physics, University of Kinshasa, Kinshasa, Democratic Republic of Congo

  • Department of Physics, University of Kinshasa, Kinshasa, Democratic Republic of Congo

  • Department of Physics, University of Kinshasa, Kinshasa, Democratic Republic of Congo

  • Department of Physics, University of Kinshasa, Kinshasa, Democratic Republic of Congo

  • Department of Physics, University of Kinshasa, Kinshasa, Democratic Republic of Congo

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