A probabilistic view on the general relativistic Boltzmann equation

2011/07/04 by Ismaël Bailleul, Ismael Bailleul, Bailleul, Ismael +2
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Mathematics #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #Mathematical Physics (math-ph) #Probability (math.PR) #Statistical Mechanics and Entropy #math-ph #math.MP #math.PR

paper · pdf · doi:10.48550/arxiv.1107.0567

12 pages

arxiv created 2011/07/04 · openalex publication_date 2011/07/04 · arxiv updated 2011/07/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A new probalistic approach to general relativistic kinetic theory is proposed. The general relativistic Boltzmann equation is linked to a new Markov process in a completely intrinsic way. This treatment is then used to prove the causal character of the relativistic Boltzmann model.

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