Philosophy of Weibel Instability in Laser Fusion Plasma

Slimen Belghit; Beddiaf Zaidi; Oussama Boultif; Abdelaziz Sid

doi:doi:10.11648/j.jmpt.20180401.13

| Peer-Reviewed

Philosophy of Weibel Instability in Laser Fusion Plasma

Slimen Belghit, Beddiaf Zaidi, Oussama Boultif, Abdelaziz Sid

Published in Journal of Photonic Materials and Technology (Volume 4, Issue 1)

Received: 18 January 2018 Accepted: 5 February 2018 Published: 28 February 2018

Views: Downloads:

Download PDF

Share This Article

Twitter
Linked In
Facebook

Abstract

In this work, have put forward a philosophy of the Weibel instability in laser fusion plasma; these instabilities generated by several mechanisms, namely: the heat transport, the expansion of the plasma and the inverse bremsstrahlung absorption (IB). Several research papers have been presented as well as theoretical models for the relaxation and stability of these modes, which are considered to be very flammable and peaceful on the interaction yield between lasers and plasma. To resolve these modes must be combined with the magnetic field. The stabilization effect due to the coupling of the self-generated magnetic field by Weibel instability with the laser wave field is explicitly showed in recently paper. In these studies, the relativistic and non-relativistic or linear and non-linear effects are taken into account here; the basic equation is the Fokker-Planck (F-P) or Vlasov equation. The best result is that the coupling of self-generated magnetic field with the laser wave causes a stabilizing effect of excited Weibel modes in the all states. Found a decrease in the spectral range of Weibel unstable modes. This decreasing is accompanied by a reduction of orders in the growth rate of instability or even stabilization of these modes. It has been shown that the previous analysis of the Weibel instability due to IB have overestimated the values of the generated magnetic fields.

Published in	Journal of Photonic Materials and Technology (Volume 4, Issue 1)
DOI	10.11648/j.jmpt.20180401.13
Page(s)	15-18
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

Relativistic and Non-relativistic Weibel Instability, Laser Fusion Plasma, Static Magnetic Field, Stabilization, Laser Plasma Interaction

References

[1]	E. S. Weibel, Phys. Rev. Lett. 2, 83 (1959).
[2]	A. Bendib, K. Bendib and A. Sid, Phys. Rev. E55, 7522 (1997).
[3]	K. Bendib, A. Bendib and A. Sid, Laser and Particle Beams 16, 3 (1998).
[4]	S. Belghit and A. Sid, Pramana – J. Phys, 87:96 (2016).
[5]	S. Belghit and A. Sid, Physics of Plasmas 23, 063104 (2016).
[6]	A. B. Langdon, Phys. Rev. Lett. 44, 575 (1980).
[7]	A. Sid, Physics of Plasmas, 1, 214 (2003).
[8]	L. Bhatanagar, E. P. Gross, M. Krook, phys, Rev, 94,511(1954).
[9]	I. P. Shkarofsky, T. W. Johnston and M. P. Bachynski, The particule Kinetic of Plasmas, (Addison-Wesley) 1966.
[10]	K. Nishikawa, P. Hardee, G. Richardson, R. Preece, H. Sol and G. Fishman, Astrophysical Journal, 595(1), 555–563 (2003).
[11]	L. O. Silva, R. A. Fonseca, J. W. Tonge, J. M. Dawson, W. B. Mori and M. V. Medvedev, The Astrophysical Journal, 596(1), L121–L124 (2003).
[12]	R. C. Davidson and P. H. Yoon, Phys. Fluids B 1, 195 (1989).
[13]	U. S. Rolffs, I. Lerche, R. Schlickeiser, Physics of plasmas, 1070-664X,13 (2006).
[14]	F. Califano, T. Cecchi, and C. Chiuderi, Phys. Plasmas 1070-664X,9, 451 (2002)
[15]	S. I. Braginski, in (M. A. Leonvitch, Consultant Bureau) N. Y.1965.
[16]	S. Belghit and A. Sid, Elixir Nuclear & Radiation Phys. 90, 37561-37564 (2016)
[17]	S. Belghit, A. Sid and K. Bendib, International Journal of Physics, Vol. 2, No. 6, 226-230,2014.
[18]	D. Pesme, La fusion thermonucléaire contrôlée par laser, Ed. R. Dautrey et J. P. Watteau (Eyrolles, Paris 1993).
[19]	J. D. Lindl, R. L. McCroy and E. M. Campbell, Progress towards and burn propagation in inertiel confinement fusion, Phys. Today, 34, (1992).
[20]	R. C. Tautz, I. Lerche, the Astrophysical Journal. HE, 1003-1055, v2, 2010
[21]	Mikhail V. Medvedev, the Astrophysical Journal. HE, 1705.03169, v1, 2017
[22]	P. Alaterre, J. P. Matte and M. Lamoureux, Phys. Rev. A 34, 1578 (1986).
[23]	J. P. Matte, M. Lamoureux, C. Moller, R. Y. Yin, J. Delletrez, J. Virmont and T. W. Johnston, Plasma Phys. Controlled Fusion 30, 1665 (1988).
[24]	S. Zaheer and G. Murtaza, PHYSICS OF PLASMAS 14, 072106, (2007)
[25]	J. D. Lindl, R. L. McCroy and E. M. Campbell, Progress towards and burn propagation in inertiel confinement fusion, Phys. Today, 34, (1992).
[26]	P. Alaterre, J. P. Matte and M. Lamoureux, Phys. Rev. A 34, 1578 (1986).

Cite This Article

Plain Text BibTeX RIS

APA Style

Slimen Belghit, Beddiaf Zaidi, Oussama Boultif, Abdelaziz Sid. (2018). Philosophy of Weibel Instability in Laser Fusion Plasma. Journal of Photonic Materials and Technology, 4(1), 15-18. https://doi.org/10.11648/j.jmpt.20180401.13

Copy | Download

ACS Style

Slimen Belghit; Beddiaf Zaidi; Oussama Boultif; Abdelaziz Sid. Philosophy of Weibel Instability in Laser Fusion Plasma. J. Photonic Mater. Technol. 2018, 4(1), 15-18. doi: 10.11648/j.jmpt.20180401.13

Copy | Download

AMA Style

Slimen Belghit, Beddiaf Zaidi, Oussama Boultif, Abdelaziz Sid. Philosophy of Weibel Instability in Laser Fusion Plasma. J Photonic Mater Technol. 2018;4(1):15-18. doi: 10.11648/j.jmpt.20180401.13

Copy | Download

@article{10.11648/j.jmpt.20180401.13,
  author = {Slimen Belghit and Beddiaf Zaidi and Oussama Boultif and Abdelaziz Sid},
  title = {Philosophy of Weibel Instability in Laser Fusion Plasma},
  journal = {Journal of Photonic Materials and Technology},
  volume = {4},
  number = {1},
  pages = {15-18},
  doi = {10.11648/j.jmpt.20180401.13},
  url = {https://doi.org/10.11648/j.jmpt.20180401.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.jmpt.20180401.13},
  abstract = {In this work, have put forward a philosophy of the Weibel instability in laser fusion plasma; these instabilities generated by several mechanisms, namely: the heat transport, the expansion of the plasma and the inverse bremsstrahlung absorption (IB). Several research papers have been presented as well as theoretical models for the relaxation and stability of these modes, which are considered to be very flammable and peaceful on the interaction yield between lasers and plasma. To resolve these modes must be combined with the magnetic field. The stabilization effect due to the coupling of the self-generated magnetic field by Weibel instability with the laser wave field is explicitly showed in recently paper. In these studies, the relativistic and non-relativistic or linear and non-linear effects are taken into account here; the basic equation is the Fokker-Planck (F-P) or Vlasov equation. The best result is that the coupling of self-generated magnetic field with the laser wave causes a stabilizing effect of excited Weibel modes in the all states. Found a decrease in the spectral range of Weibel unstable modes. This decreasing is accompanied by a reduction of orders in the growth rate of instability or even stabilization of these modes. It has been shown that the previous analysis of the Weibel instability due to IB have overestimated the values of the generated magnetic fields.},
 year = {2018}
}

Copy | Download

TY  - JOUR
T1  - Philosophy of Weibel Instability in Laser Fusion Plasma
AU  - Slimen Belghit
AU  - Beddiaf Zaidi
AU  - Oussama Boultif
AU  - Abdelaziz Sid
Y1  - 2018/02/28
PY  - 2018
N1  - https://doi.org/10.11648/j.jmpt.20180401.13
DO  - 10.11648/j.jmpt.20180401.13
T2  - Journal of Photonic Materials and Technology
JF  - Journal of Photonic Materials and Technology
JO  - Journal of Photonic Materials and Technology
SP  - 15
EP  - 18
PB  - Science Publishing Group
SN  - 2469-8431
UR  - https://doi.org/10.11648/j.jmpt.20180401.13
AB  - In this work, have put forward a philosophy of the Weibel instability in laser fusion plasma; these instabilities generated by several mechanisms, namely: the heat transport, the expansion of the plasma and the inverse bremsstrahlung absorption (IB). Several research papers have been presented as well as theoretical models for the relaxation and stability of these modes, which are considered to be very flammable and peaceful on the interaction yield between lasers and plasma. To resolve these modes must be combined with the magnetic field. The stabilization effect due to the coupling of the self-generated magnetic field by Weibel instability with the laser wave field is explicitly showed in recently paper. In these studies, the relativistic and non-relativistic or linear and non-linear effects are taken into account here; the basic equation is the Fokker-Planck (F-P) or Vlasov equation. The best result is that the coupling of self-generated magnetic field with the laser wave causes a stabilizing effect of excited Weibel modes in the all states. Found a decrease in the spectral range of Weibel unstable modes. This decreasing is accompanied by a reduction of orders in the growth rate of instability or even stabilization of these modes. It has been shown that the previous analysis of the Weibel instability due to IB have overestimated the values of the generated magnetic fields.
VL  - 4
IS  - 1
ER  -

Copy | Download

Author Information

Slimen Belghit

Faculty of Material Sciences, University of Batna, Batna, Algeria
Beddiaf Zaidi

Faculty of Material Sciences, University of Batna, Batna, Algeria
Oussama Boultif

Faculty of Material Sciences, University of Batna, Batna, Algeria
Abdelaziz Sid

Faculty of Material Sciences, University of Batna, Batna, Algeria

Download PDF

Sections

Plain Text BibTeX RIS

APA Style

Slimen Belghit, Beddiaf Zaidi, Oussama Boultif, Abdelaziz Sid. (2018). Philosophy of Weibel Instability in Laser Fusion Plasma. Journal of Photonic Materials and Technology, 4(1), 15-18. https://doi.org/10.11648/j.jmpt.20180401.13

Copy | Download

ACS Style

Slimen Belghit; Beddiaf Zaidi; Oussama Boultif; Abdelaziz Sid. Philosophy of Weibel Instability in Laser Fusion Plasma. J. Photonic Mater. Technol. 2018, 4(1), 15-18. doi: 10.11648/j.jmpt.20180401.13

Copy | Download

AMA Style

Slimen Belghit, Beddiaf Zaidi, Oussama Boultif, Abdelaziz Sid. Philosophy of Weibel Instability in Laser Fusion Plasma. J Photonic Mater Technol. 2018;4(1):15-18. doi: 10.11648/j.jmpt.20180401.13

Copy | Download

@article{10.11648/j.jmpt.20180401.13,
  author = {Slimen Belghit and Beddiaf Zaidi and Oussama Boultif and Abdelaziz Sid},
  title = {Philosophy of Weibel Instability in Laser Fusion Plasma},
  journal = {Journal of Photonic Materials and Technology},
  volume = {4},
  number = {1},
  pages = {15-18},
  doi = {10.11648/j.jmpt.20180401.13},
  url = {https://doi.org/10.11648/j.jmpt.20180401.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.jmpt.20180401.13},
  abstract = {In this work, have put forward a philosophy of the Weibel instability in laser fusion plasma; these instabilities generated by several mechanisms, namely: the heat transport, the expansion of the plasma and the inverse bremsstrahlung absorption (IB). Several research papers have been presented as well as theoretical models for the relaxation and stability of these modes, which are considered to be very flammable and peaceful on the interaction yield between lasers and plasma. To resolve these modes must be combined with the magnetic field. The stabilization effect due to the coupling of the self-generated magnetic field by Weibel instability with the laser wave field is explicitly showed in recently paper. In these studies, the relativistic and non-relativistic or linear and non-linear effects are taken into account here; the basic equation is the Fokker-Planck (F-P) or Vlasov equation. The best result is that the coupling of self-generated magnetic field with the laser wave causes a stabilizing effect of excited Weibel modes in the all states. Found a decrease in the spectral range of Weibel unstable modes. This decreasing is accompanied by a reduction of orders in the growth rate of instability or even stabilization of these modes. It has been shown that the previous analysis of the Weibel instability due to IB have overestimated the values of the generated magnetic fields.},
 year = {2018}
}

Copy | Download

TY  - JOUR
T1  - Philosophy of Weibel Instability in Laser Fusion Plasma
AU  - Slimen Belghit
AU  - Beddiaf Zaidi
AU  - Oussama Boultif
AU  - Abdelaziz Sid
Y1  - 2018/02/28
PY  - 2018
N1  - https://doi.org/10.11648/j.jmpt.20180401.13
DO  - 10.11648/j.jmpt.20180401.13
T2  - Journal of Photonic Materials and Technology
JF  - Journal of Photonic Materials and Technology
JO  - Journal of Photonic Materials and Technology
SP  - 15
EP  - 18
PB  - Science Publishing Group
SN  - 2469-8431
UR  - https://doi.org/10.11648/j.jmpt.20180401.13
AB  - In this work, have put forward a philosophy of the Weibel instability in laser fusion plasma; these instabilities generated by several mechanisms, namely: the heat transport, the expansion of the plasma and the inverse bremsstrahlung absorption (IB). Several research papers have been presented as well as theoretical models for the relaxation and stability of these modes, which are considered to be very flammable and peaceful on the interaction yield between lasers and plasma. To resolve these modes must be combined with the magnetic field. The stabilization effect due to the coupling of the self-generated magnetic field by Weibel instability with the laser wave field is explicitly showed in recently paper. In these studies, the relativistic and non-relativistic or linear and non-linear effects are taken into account here; the basic equation is the Fokker-Planck (F-P) or Vlasov equation. The best result is that the coupling of self-generated magnetic field with the laser wave causes a stabilizing effect of excited Weibel modes in the all states. Found a decrease in the spectral range of Weibel unstable modes. This decreasing is accompanied by a reduction of orders in the growth rate of instability or even stabilization of these modes. It has been shown that the previous analysis of the Weibel instability due to IB have overestimated the values of the generated magnetic fields.
VL  - 4
IS  - 1
ER  -

Copy | Download