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Non-thermal electron populations are observed throughout the heliosphere. Therelaxation of an electron beam is known to produce Langmuir waves which, inturn, may substantially modify the electron distribution function. As theLangmuir waves are refracted by background density gradients and as the solarand heliospheric plasma density is naturally perturbed with various levels ofinhomogeneity, the interaction of Langmuir waves with non-thermal electrons ininhomogeneous plasmas is an important topic. We investigate the role played byambient density fluctuations on the beam-plasma relaxation, focusing on theeffect of acceleration of beam electrons. The scattering of Langmuir waves offturbulent density fluctuations is modeled as a wavenumber diffusion processwhich is implemented in numerical simulations of the one-dimensionalquasilinear kinetic equations describing the beam relaxation. The results showthat a substantial number of beam electrons are accelerated when the diffusivetime scale in wavenumber space \tau_D is of the order of the quasilinear timescale \tau_ql, while when \tau_D << \tau_ql, the beam relaxation is suppressed.Plasma inhomogeneities are therefore an important means of energyredistribution for waves and hence electrons, and so must be taken into accountwhen interpreting, for example, hard X-ray or Type III emission fromflare-accelerated electrons.

Density fluctuations and the acceleration of electrons by beam-generated Langmuir waves in the solar corona