Nonlinear properties of a weakly collisional plasma at low radiation intensities

Response of Piezoelectric Lead–Zirconate–Titanate to Hypervelocity Silver Particles

“…With the expressions for the collision integrals (5) and (7), equation (4) is a nonlinear integro-differential equation for the EDF in the presence of a laser field. A huge number of papers (see, for instance, [3,4,[6][7][8][9][10][11][12][13][14][15][27][28][29][30][31][32]) have been devoted to the solution of this equation. Nevertheless, a general solution to this equation has still not been found.…”

“…This discrepancy is very important for the theory of parametric instabilities. As shown in [26,27] an adequate description of phenomena such as filamentation and stimulated Brillouin scattering is possible only taking into account the variation of the EDF due to inverse bremsstrahlung field absorption.…”

“…When such collisions may be neglected the self-similar EDF of [29] goes over to (24), while in the general case it exhibits a behaviour versus electron velocity intermediate between (24) and a Maxwellian with the same temperature. The formation of selfsimilar distributions leads to significant changes in the values of plasma parameters such as the absorption coefficient [3,14], the electron transport coefficients [5-7, 14, 15], the rate of radiation recombination processes [16][17][18] and the growth rate of many instabilities [19][20][21]27]. …”

“…In the last few years, following the development of the theory of parametric instabilities [23][24][25][26], a rigorous description of the slow electron kinetics is called for, even in a relatively weak high-frequency field when v E < v T / √ Z. In this latter limit, a quasistationary EDF is formed, which departs from a Maxwellian in the velocity region v v L ≈ (Zv 2 E v T ) 1/3 [27]. The formation of such an EDF yields significant alterations to the thresholds of filamentation and stimulated Brillouin scattering.…”