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 |
Dispersion Relation, Waves in Hot Plasma, Dielectric Tensor
| [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). |
APA Style
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
ACS 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
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
Share This Article
Twitter
Linked In
Facebook
Copy
Download@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}
}
TY - JOUR 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 Y1 - 2016/01/16 PY - 2016 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 -
Email: