RESEARCH ARTICLE

Volume 3,Issue 1

Fall 2023

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15 November 2018

Weibel instability in weakly relativistic laser fusion plasma

Slimen Belghit1* Beddiaf Zaidi1 Oussama Boultif1 Abdelaziz Sid1
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1 PRIMALAB Laboratory, Department of Physics, Faculty of Material Sciences, University of Batna , Batna, 05000DZ, Algeria
© 2023 by the Author(s). Licensee Whioce Publishing, USA. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution 4.0 International License ( https://creativecommons.org/licenses/by/4.0/ )
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.

Keywords
relativistic Weibel instability
laser fusion plasma
static magnetic field
stabilization
Relativistic laser plasma interaction
References

[1] Weibel, S. (1959). Phys. Rev. Lett., 2, 83.
[2] Bendib, A., Bendib, A., & Sid, A. (1998). Laser and Particle Beams, 16, 3.
[3] Bhatanagar, L., Gross, E. P., & Krook, M. (1954). Phys. Rev., 94, 514.
[4] Belghit, S., & Sid, A. (2006). PHYSICS OF PLASMAS, 23, 063104.
[5] P. Shkarofsky, T.W. Johnston and M.P. Bachynski, The particule Kinetic of Plasmas, (Addison-Wesley) 1966.
[6] Abramowitz and I. Stegun, Handbook of Mathematical Functions, (Dover, New York 1970).
[7] M. Macrobert. Spherical harmonics an elementary treatise on harmonic functions with applications second edition, revised. 1947.
[8] Sid, S. Belghit and A. Ghezal ,25th IAEA Fusion Energy Conference IAEA CN-22-IFE/P6-8,2004.
[9] right, T. P. & Hadley, G. R. Phys. Rev. A 1975; 22(2): 686.697
[10] Pesme, La fusion thermonucléaire contrôlée par laser, Ed. R. Dautrey et J. P. Watteau (Eyrolles, Paris 1993).
[11] D. Lindl, R. L. McCroy and E. M. Campbell, Progress towards and burn propagation in inertiel confinement fusion, Phys. Today, 1992: 34.
[12] Alaterre, J. P. Matte and M. Lamoureux, Phys. Rev. A 1986; 34, 1578.
[13] P. Matte and all, Plasma Phys. Controlled Fusion 1988; 30, 1665.
[14] Sid, Physics of Plasmas, 2003; 10, 244.

Conflict of interest
The authors declare they have no competing interests.
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