Stimulated Raman scattering in nonextensive statistics

• Stimulated Raman scattering (SRS) in a nonextensive plasma is analytically and numerically investigated.
• The generalized wavenumbers and growth rates are derived as a function of qq-parameter.
• A relativistic Eulerian Vlasov code is used for comparing the analytical results with numerical simulations.

Stimulated Raman scattering (SRS) in a collisionless plasma was analytically and numerically investigated in the context of nonextensive statistics proposed by Tsallis. The generalized wavenumbers and growth rates in both backward and forward scattering were derived as a function of different values of the nonextensive parameter qq, which quantified the degree of nonextensivity of the system. It was shown that the increased numbers of superthermal particles and low velocity particles could affect the evolution of stimulated Raman scattering. A relativistic Eulerian Vlasov code for conditions similar to single-hot-spot experiments was used in order to compare the analytical results for the frequency and wavenumber with the quantities obtained from the numerical simulations. A nonextensive qq-distribution by the restriction q<1q<1 was used as the initial velocity distribution. The results of numerical simulation showed a strong reflection by SRS. According to the simulation, the peak of the main components in both wavenumber and frequency spectra were found at positions estimated from the phase-matching conditions and the analytical data.