An Explicit Energy-Conserving Particle Method for the Vlasov-Fokker-Planck Equation
Plasma Physics
2025-10-07 v1 Mathematical Physics
math.MP
Abstract
We propose an explicit particle method for the Vlasov-Fokker-Planck equation that conserves energy at the fully discrete level. The method features two key components: a deterministic and conservative particle discretization for the nonlinear Fokker-Planck operator (also known as the Lenard-Bernstein or Dougherty operator), and a second-order explicit time integrator that ensures energy conservation through an accuracy-justifiable correction. We validate the method on several plasma benchmarks, including collisional Landau damping and two-stream instability, demonstrating its effectiveness.
Cite
@article{arxiv.2510.03960,
title = {An Explicit Energy-Conserving Particle Method for the Vlasov-Fokker-Planck Equation},
author = {Jiyoung Yoo and Jingwei Hu and Lee F. Ricketson},
journal= {arXiv preprint arXiv:2510.03960},
year = {2025}
}