Particles ejected from the Sun that stream through the surrounding plasma of
the solar wind are causing instabilities. These generate wavemodes in a certain
frequency range especially within shock regions, where particles are
accelerated. The aim of this paper is to investigate of amplified Alfvenic
wavemodes in driven incompressible magnetohydrodynamic turbulence. Results of
different heliospheric scenarios from isotropic and anisotropic plasmas, as
well as turbulence near the critical balance are shown. The energy transport of
the amplified wavemode is governed by the mechanisms of diffusion, convection
and dissipation of energy in wavenumber space. The strength of these effects
varies with energy and wavenumber of the mode in question. Two-dimensional
energy spectra of spherical k-space integration that permit detailed insight
into the parallel and perpendicular development are presented. The evolution of
energy injected through driving shows a strong energy transfer to perpendicular
wavemodes. The main process at parallel wavemodes is the dissipation of energy
in wavenumber space. The generation of higher harmonics along the parallel
wavenumber axis is observed. We find evidence for a critical balance in our
simulations.Comment: Accepted for publication in A&