Stimulated Raman scattering in nonextensive statistics

q-Gaussian Tsallis Line Shapes for Raman Spectroscopy: Fitting Simulations and Data Analysis

“…The Tsallis statistics, with the use of q-parameter to evaluate the degree of nonextensivity of the system, has been proposed for the Stimulated Raman Scattering (SRS) in a collisionless plasma by Sharifi & Parvazian (2015). SRS involves a resonant decay of laser electromagnetic waves into scattered electromagnetic waves and electron plasma waves (EPW).…”

“…"Most of the studies for SRS are derived in the frame of a fluid description, a Maxwellian distribution function, or a relativistic Maxwellian distribution function. However, many space and laboratory plasmas show a non-Maxwellian behavior" (Sharifi & Parvazian, 2015). According to Sharifi and Parvazian, new statistical approaches based on the generalization of Boltzmann-Gibbs entropy, have been proposed, according to the works by Alfred Rényi (1955) and Constantino Tsallis (1988).…”

Effects of Landau damping and collision on stimulated Raman scattering with various phase-space distributions

“…Suprathermal tails also exist in space plasmas, where the collisional effect is weak, and a stable superheat distribution or kappa distribution can be formed. [25][26][27][28][29] However, in the laserplasma environment, due to a relatively short time scale and the long-term impact of the collisional effect, a hot electron tail with Maxwellian distribution is commonly observed in experiments and simulations. [30][31][32][33] This hot Maxwellian tail is formed due to SRS or two-plasma decay instability, and the effective temperature is roughly approximated by T h ≈ 1 2 mv 2 φ where v φ is the phase velocity of the excited Langmuir wave.…”