# Diffusion limit of the Vlasov equation in the weak turbulent regime

@article{Bardos2021DiffusionLO, title={Diffusion limit of the Vlasov equation in the weak turbulent regime}, author={Claude W. Bardos and Nicolas Besse}, journal={Journal of Mathematical Physics}, year={2021} }

In this paper we study the Hamiltonian dynamics of charged particles subject to a non-selfconsistent stochastic electric field, when the plasma is in the so-called weak turbulent regime. We show that the asymptotic limit of the Vlasov equation is a diffusion equation in the velocity space, but homogeneous in the physical space. We obtain a diffusion matrix, quadratic with respect to the electric field, which can be related to the diffusion matrix of the resonance broadening theory and of the…

## One Citation

About the derivation of the quasilinear approximation in plasma physics.

- Physics, Mathematics
- 2020

This contribution, built on the companion paper [1], is focused on the different mathematical approaches available for the analysis of the quasilinear approximation in plasma physics.

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