A scaling limit for Vlasov equations with electrostatic fluctuations
Probability
2025-07-15 v1 Analysis of PDEs
Abstract
We consider a Vlasov equation for a plasma with a given constant magnetic field, and introduce a white noise perturbation of the electric field in the electrostatic approximation, with a discussion of the motivations of such random perturbation. We prove that diffusion in velocity emerges in a suitable scaling limit of the noise, and also discuss the physical relevance of this result.
Cite
@article{arxiv.2507.09922,
title = {A scaling limit for Vlasov equations with electrostatic fluctuations},
author = {Franco Flandoli and Dejun Luo},
journal= {arXiv preprint arXiv:2507.09922},
year = {2025}
}
Comments
26 pages