A Neural Score-Based Particle Method for the Vlasov-Maxwell-Landau System
Plasma modeling is central to the design of nuclear fusion reactors, yet simulating collisional plasma kinetics from first principles remains a formidable computational challenge: the Vlasov-Maxwell-Landau (VML) system describes six-dimensional phase-space transport under self-consistent electromagnetic fields together with the nonlinear, nonlocal Landau collision operator. A recent deterministic particle method for the full VML system estimates the velocity score function via the blob method, a kernel-based approximation with $O(n^2)$ cost. In this work, we replace the blob score estimator with score-based transport modeling (SBTM), in which a neural network is trained on-the-fly via imp...
| Authors | Vasily Ilin, Jingwei Hu |
|---|---|
| Primary category | math.NA |
| Published | 26 March 2026 |
| Last updated at source | 26 March 2026 |
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