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This Erratum addresses errors that occurred in some of the analysis in our recent publication (Ref. 1). The main elements of Ref. 1 are (1) the presentation of kinetic simulations of simulated Brillouin backscattering (SBS) and the accompanying secondary instability of the primary SBS ion acoustic wave (IAW) with and without the inclusion of the second harmonic of the primary IAW; (2) analyses of the four-wave (primary IAW, low-frequency IAW, and two sidebands of the primary IAW) and seven-wave (includes the second harmonic of the primary IAW and its two sidebands, as well as the four waves defined in the foregoing) dispersion relations for the secondary IAW instability; (3) comparisons of the results of solving the dispersion relations to the two particle simulations; (4) mode coupling calculations for SBS and the four-wave system of IAWs that model the particle simulations; and (5) a discussion and summary. However, the simplified 7-wave dispersion relation used in Ref. 1 propagated a typographical error in Eq.(44) in Ref. 2, the Pesme, Riconda, and Tikhonchuk (PRT) paper. This Erratum corrects Eq.(44) of Ref. 2 (discussed in more detail in an Erratum3 for Ref. 2) and revises Sec. IV of Ref. 1 by correcting the analysismore » and comparisons of the 4-wave and 7-wave dispersion relations, and the comparison of the 7-wave dispersion relation to the particle simulations. We find that the results of the corrected 7-wave dispersion relation are not profoundly different from the corresponding results in Ref. 1 and the 7-wave growth rates of the most unstable modes are more similar to the results of the 4-wave dispersion relation. The main results of Ref. 1 are unchanged: (1) the particle simulations exhibit a secondary IAW instability that is a modulational instability involving parallel and obliquely propagating IAWs; (2) the two types of particle simulation exhibit similar spectra, and the second harmonic IAW is a transient feature in the first particle simulation that is not well differentiated from the noise in the streak spectra shown in Ref. 1; (3) the 4-wave dispersion relation fits the simulation data relatively well, and only the 4-wave dispersion relation is applicable to the simulation with the second harmonic IAW suppressed; (4) the results of the 7-wave dispersion relation do not differ profoundly from the 4-wave results for the modulational instability when frequency mismatch effects are included; and (5) it is problematic justifying the application of the 7-wave dispersion relation even to the first particle simulation because the second harmonic signal is either transient or weak. The 7-wave dispersion relation is not a primary focus of Ref. 1.« less

The acceleration of test electrons by a resonant, one—dimensional electric structure is studied in the convective regime with the Zakharov equations. Depending on the nonlinearity level the particle acceleration is due to diffusion or trapping by the plasma wave. Electron distributions are obtained and compared with 1-D particle code results. Influence of Landau damping formulation is discussed.

This paper is concerned with the role of self-consistency of the electric field in 1-0 plasma turbulence. We first show that in the non-self consistent electric field problem excellent agreement is found between numerical experiments and quasilinear theory whenever the imposed electric field Fourier components have random phase. A discrepancy is exhibited between quasilinear prediction and numerical simulations in the self-consistent electric field case. This discrepancy is explained by the creation of a long correlation time of the electric field resulting from a strong wave-particle interaction. A comparison is made between quasilinear and renormalized propagator theories, and the Dupree “Clump” theory. These three theories are found to be self-contradictory in the regime of strong wave-particle interaction because they make an a priori quasi-gaussian assumption for the electric field. The Direct Interaction Approximation is then shown to be a closure taking into account in a self-consistent way nongaussian effects.