Derivation of Vlasov equations for multi-species fermions
We explore a system of two-species fermions with N particles. Through this exploration, we establish a two-species Husimi measure and construct a two-species Bogoliubov–Born–Green–Kirkwood–Yvon hierarchy hierarchy with error terms. We provide proofs of the smallness of these errors in the semiclassical and mean-field limits, fixing ℏ = N−1/3. After that, we rigorously establish the uniqueness of this hierarchy. This allows us to conclude that the two-species Husimi measure from the solution of N-particle Schrödinger equation approximates the solution of the Vlasov equation for two-species systems.
Authors
- Jinyeop Lee (ORCID: https://orcid.org/0000-0001-8887-6944)
- Li Chen (ORCID: https://orcid.org/0000-0002-4190-022X)
- Hongshuo Chen (ORCID: https://orcid.org/0000-0001-6385-2030)
- Zhiwei Sun (ORCID: https://orcid.org/0009-0007-6708-2310)
Institutions
- Chongqing University (CN)
- University of Mannheim (DE)
- University of Basel (CH)
- Soochow University (CN)
- Ludwig-Maximilians-Universität München (DE)
Publication Details
- Journal
- Journal of Mathematical Physics
- Published
- 2025-02-01
- DOI
- https://doi.org/10.1063/5.0228404
- Primary Topic
- Cold Atom Physics and Bose-Einstein Condensates
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Center of Competence in Research AntiResist
- Deutsche Forschungsgemeinschaft
- National Research Foundation of Korea
- European Research Council