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arXiv · 2510.03960

An Explicit Energy-Conserving Particle Method for the Vlasov-Fokker-Planck Equation

Jiyoung Yoo·Jingwei Hu·Lee F. Ricketson
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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.

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Jiyoung Yoo, Jingwei Hu, Lee F. Ricketson. 2025-10-04. An Explicit Energy-Conserving Particle Method for the Vlasov-Fokker-Planck Equation. https://arxiv.org/abs/2510.03960

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