“…Because the growth rate of Langmuir waves is proportional to their current level at a given wavenumber, this can suppress the instability (in line with Kontar, 2001b;Ledenev et al, 2004;Li et al, 2006b;Reid & Kontar, 2010). The density fluctuations can be either wave modes with wavelengths comparable to the Debye length (Vedenov et al, 1967;Goldman & Dubois, 1982;Yoon et al, 2005), or longer wavelength inhomogeneities (Ryutov, 1969;Nishikawa & Ryutov, 1976;Smith & Sime, 1979;Kontar, 2001a;Kontar et al, 2012). In the latter case, the Langmuir wave evolution can be described in the WKB approximation by (e.g.…”