A scaling limit for Vlasov equations with electrostatic fluctuations
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916842235232256 |
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| author | Flandoli, Franco Luo, Dejun |
| author_facet | Flandoli, Franco Luo, Dejun |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_09922 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A scaling limit for Vlasov equations with electrostatic fluctuations Flandoli, Franco Luo, Dejun Probability Analysis of PDEs 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. |
| title | A scaling limit for Vlasov equations with electrostatic fluctuations |
| topic | Probability Analysis of PDEs |
| url | https://arxiv.org/abs/2507.09922 |