Stabilization effect of Weibel modes in relativistic laser fusion plasma

Abstract

In this work, the Weibel instability (WI) due to inverse bremsstrahlung (IB) absorption in a laser fusion plasma has been investigated. The stabilization effect due to the coupling of the self-generated magnetic field by WI with the laser wave field is explicitly shown. In this study, the relativistic effects are taken into account. Here, the basic equation is the relativistic Fokker-Planck (F-P) equation. The main obtained result is that the coupling of self-generated magnetic field with the laser wave causes a stabilizing effect of excited Weibel modes. We found a decrease in the spectral range of Weibel unstable modes. This decreasing is accompanied by a reduction of two orders in the growth rate of instable Weibel modes or even stabilization of these modes. It has been shown that the previous analysis of the Weibel instability due to IB has overestimated the values of the generated magnetic fields. Therefore, the generation of magnetic fields by the WI due to IB should not affect the experiences of an inertial confinement fusion.

Weibel Instability in Relativistic-Maxwellian Laser Fusion Plasma

“…This result shows that the second anisotropy is positive:F s0 (2) (p) > 0, which corresponds to a temperature anisotropy T ∥ > T ⊥ ,where T ∥ the temperature in the ox direction and T ⊥ the temperature in the perpendicular [12].…”

“…The temperature anisotropy can be generated in plasma by different mechanisms, specifically the heat transport, the expansion of the plasma, and the inverse bremsstrahlung (IB) absorption [5]. The WI is intensively studied in the literature in the all regime [6][7][8][9][10][11][12][13][14], The Classical WI interpreted in the references [6][7][8][9] by considered different theoretical models which is the Fokker-Planck equation Were develop the electronic distribution function on the Legendre polynomials and deduce the growth rate of WI. The main results obtained in this works are that the inclusion of self-generated magnetic field due to Weibel instability stabilizing Weibel modes.…”

Philosophy of Weibel Instability in Laser Fusion Plasma

“…In the ref [5] the Weibel instability due to inverse bremsstrahlung (IB) absorption in laser fusion plasma has been investigated. The stabilization effect due to the coupling of the self-generated magnetic field by Weibel instability with the laser wave field is explicitly showed.…”

“…Several authors have made the case that Weibel instability can and should be taught to undergraduate physics students [1][2][3][4][5] and many other articles can be found offering advice in this endeavor [6,7]. Surely another important two components of good teaching are to identify the subtle areas and to present them clearly using careful mathematic method.…”

Relativistic Weibel instability in magneto‐inertial fusion using Krook collision model

“…In Ref. [12], a theoretical model and numerical treatment, using the relativistic Fokker–Planck equation and accounting for the stabilization effect resulting from the coupling of the self‐generated magnetic field by the WI with the laser wave field in the relativistic regime, show a decrease in the growth rate of the Weibel mode. Therefore, new studies of WI in quantum plasma, as discussed in References, 13 and 14 ] using Wigner–Maxwell model, have obtained results indicating that the quantum effect tends to weaken or suppress the growth rate of Weibel instability.…”