Multi-species kinetic models: GENERIC formulation and Fisher information
Abstract
In this paper, we study the GENERIC structures of multi-species spatially inhomogeneous Boltzmann and Landau equations with Bose-Einstein, Maxwell-Boltzmann, and Fermi-Dirac statistics. In addition, under suitable assumptions on the collision kernels, we show that the Fisher information for the multi-species spatially homogeneous Boltzmann equation is non-increasing in time.
Fields of Study & Subjects
Gas Dynamics and Kinetic Theory
Statistical Mechanics and Entropy
Advanced Thermodynamics and Statistical Mechanics
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 10 February 2026
- Language
- EN
- Document type
- Preprint