A Decay of Langmuir Wave Quanta in Their Scatter by Plasma Electrons

A drift of Langmuir waves in a magnetized inhomogeneous plasma

“…Initially, it was formulated for plasmas with turbulent fields of potential waves (Erofeev 2011 a ). This helped us to recover the concept of Langmuir wave collisionless dissipation through stochastic plasma electron acceleration (Erofeev 2002 a , b , 2004 b , 2010), to highlight its implications for the beginning of weak Langmuir turbulence theory (the impossibility of formation of the Langmuir condensate in weakly turbulent plasmas (Erofeev 2002 a ), the impossibility of Langmuir wave collapse (Erofeev 2002 b ) and the impossibility of Vedenov–Rudakov’s (long-wavelength) plasma modulational instability (Erofeev 2011 a , 2004 b )), and to highlight the shortcomings of the traditional understanding of wave scattering by plasma electrons (Erofeev 2000, 2011 b ) and the electron kinetics in the respective scattering process (Erofeev 2003).…”

Coulomb collisions in a “single” ionized plasma

“…Both functions Φ k (t, t ) and B k (t, t ) decay with increasing t > t , due to the temporal loss in correlations of microfields. Equation (11) should be used to iteratively express the two-time function Φ k (t, t ) in terms of its unknown initial data Φ k (t , t ) that possess the short-wavelength limit (7). After this, the two-time function should be substituted into the analytical analog of the expression of the two-point function [δN α F] k in Figure 1.…”

“…(Explanations on this point are given in Refs. [4][5][6][7]). They dictate the following ideas of developing the most informative of possible plasma scenarios.…”

Dissipation of Langmuir waves in the process of their nonlinear conversion into electromagnetic waves

“…This implies, in particular, that the usual freedom of intermediate transitions from time originals of particle distributions and electromagnetic field to their Fourier (Laplace) transforms should be substantially restricted in plasma considerations (Erofeev 2002(Erofeev , 2003(Erofeev , 2004b(Erofeev , 2011b. related perturbation theory is small (ε 1).…”