Abstract
In this chapter, we discuss the interaction between charged particles and an astro- physical plasma. Historically, the first and most applied approach to determine spa- tial diffusion coefficients and other transport parameters is the so-called quasilinear theory (QLT). The quasilinear approximation is comparable to a first-order pertur- bation theory. In this chapter, different analytical and numerical results obtained within the magnetostatic slab, 2D, and composite model are presented. Hereafter we consider test-particle simulations and we compare their results with QLT. It is demonstrated that there are at least three cases for which QLT is insufficient. These three problems of QLT are the motivation for developing nonlinear transport theories.
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