A scaling limit for Vlasov equations with electrostatic fluctuations
Abstract
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.
Fields of Study & Subjects
Advanced Thermodynamics and Statistical Mechanics
Theoretical and Computational Physics
Phase Equilibria and Thermodynamics
Publication details
- Journal / source
- Nonlinearity
- Volume
- 39
- Issue
- 7
- Pages
- 075011–075011
- Publication date
- 6 July 2026
- Language
- EN