Report
Derivation of Vlasov equations for multi-species fermions
| العنوان: | Derivation of Vlasov equations for multi-species fermions |
|---|---|
| المؤلفون: | Chen, Hongshuo, Chen, Li, Lee, Jinyeop, Sun, Zhiwei |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics |
| الوصف: | 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 (BBGKY) hierarchy with error terms. We provide proofs of the smallness of these errors in the semiclassical and mean-field limits, fixing $\hbar = N^{-1/3}$. 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 the $N$-particle Schr\"odinger equation approximates the solution of the Vlasov equation for two-species systems. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2312.01075 |
| رقم الانضمام: | edsarx.2312.01075 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |