Multi-species kinetic models: GENERIC formulation and Fisher information

Manh Hong Duong; Zihui He

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arXiv · 2602.09875

Multi-species kinetic models: GENERIC formulation and Fisher information

Manh Hong Duong·Zihui He

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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.

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Manh Hong Duong, Zihui He. 2026-02-10. Multi-species kinetic models: GENERIC formulation and Fisher information. https://arxiv.org/abs/2602.09875

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