Weibel instability in Weakly Relativistic Laser Fusion Plasma

Authors

  • slimen belghit University of Batna

DOI:

https://doi.org/10.18063/eoaa.v2i2.945

Keywords:

relativistic Weibel instability, laser fusion plasma, static magnetic field, stabilization, Relativistic laser plasma interaction.

Abstract

In this work, we used the MATLAB code to calculate the growth rate of the Weibel instability (WI) in weakly relativistic parameters of laser-plasma interaction in the inertial thermonuclear fusion. In this study, the basic equation is the relativistic Fokker-Planck equation (FPE). However in our paper, the distribution function is not supposed but it is calculated from FPE by considering the fusion plasma heating by the laser source and the collisions term which corresponds to the laser fusion experiments. The main obtained result is a decrease in the spectral range of Weibel unstable modes. This decreasing is accompanied by a reduction of two orders in the growth rate spectrum of instability, this spectrum presents a maximum, which can be in terpreted by the competition between the loss effects (collisions and Landau damping) and the inverse bremsstrahlung absorption (IBA) with parameters of laser-plasma interactions.

Author Biography

slimen belghit, University of Batna

Balghit Sliman was born on 01/04/1984 In cheria city of Tebessa in Algeria.
A university professor who holds the following degrees:
- Graduate Certificate in Radiation Physics
- Magister Degree in Radiation Physics, plasma and Laser Physics
- PhD degree in science, specialization inradiation physics.
About the author:
From the works of the author:
1 - The National Conference of Physics and its Applications, University of Ouargla from 24 to 26 October 2010 in Algeria.
2. Twenty-fifth Conference of Energy Integration of the International Atomic Energy Agency in the Russian Federation from 13 to 18 October 2014
3. International Journal of Physics Vol. 2, No. 6, 226-230 / IJP / 2/6/7. (2014)
4 - Atwar and Wael Al-Lanspeh, European university publications ISBN 978-3-8416-6667-3 (2015)
5 - the first workshop of radiation and material at the University of Batna 1, Algeria from 10 to 12 April 2016.
6. International Journal of Nuclear Physics and Radiation 90 (2016) 37561-37564.
7 - Journal of plasma physics at the American Institute of Physics 23, 063104 (2016) .
8. Bermanah International Journal of Physics, Indian Academy of Sciences 87: 96 (2016)
9 - The Book of Twar and Weil Relativity in the Framework of Thermal Nuclear Integration in Its Edical Form, EDILIVRE.ISBN: 978-2-414-10051-4 (2017).
10 - Non-linear action book in the interaction between laser and plasma, European university publications ISBN: 978-3-330-87401-5. (2017)

References

E. S. Weibel , Phys. Rev. Lett. 2, 83 (1959).

K. Bendib, A. Bendib and A. Sid, Laser and Particle Beams 16, 3 (1998).

L. Bhatanagar,E.P.Gross,M.Krook,phys,rev,94,511(1954)

Slimen Belghit and Abdelaziz Sid, PHYSICS OF PLASMAS 23, 063104 (2016)

I. P. Shkarofsky, T.W. Johnston and M.P. Bachynski, The particule Kinetic of Plasmas, (Addison-Wesley) 1966.

M. Abramowitz and I. Stegun, Handbook of Mathematical Functions, (Dover, New York 1970).

T. M. Macrobert. Spherical harmonics an elementary treatise on harmonic functions with applications second edition, revised. 1947.

A. B. Langdon, Phys. Rev. Lett. 44, 575 (1980).

A. Bendib, K. Bendib and A. Sid, Phys. Rev. E55, 7522 (1997).

A. Bendib and J. F. Luciani, Phys. Fluids 30, 1353 (1987).

A. Sid, S. Belghit and A. Ghezal ,25th IAEA Fusion Energy Conference IAEA CN-221-IFE/P6-8,2014.

Wright, T. P. & Hadley, G. R. (1975).. Phys. Rev. A 12, no. 2, p. 686.697

D. Pesme, La fusion thermonucléaire contrôlée par laser, Ed. R. Dautrey et J. P. Watteau (Eyrolles, Paris 1993).

J. D. Lindl, R. L. McCroy and E. M. Campbell, Progress towards and burn propagation in inertiel confinement fusion, Phys. Today, 34, (1992).

P. Alaterre, J. P. Matte and M. Lamoureux, Phys. Rev. A 34, 1578 (1986).

J. P. Matte and all, Plasma Phys. Controlled Fusion 30, 1665 (1988).

A. Sid, Physics of Plasmas, 1, 214 (2003).

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Published

2019-01-28

Issue

Vol 2, No 2 ( In publishing)

Section

Review Articles

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