2020/03/08 by Florian Kogelbauer
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Advanced Thermodynamics and Statistical Mechanics #Classical mechanics #Closure (psychology) #Gas Dynamics and Kinetic Theory #Kinetic energy #Manifold (fluid mechanics) #Mathematical analysis #Mathematics #Physics #Rank (graph theory) #Relaxation (psychology) #Slow manifold #Statistical physics #math-ph #math.MP #physics.flu-dyn
paper · pdf · doi:10.1007/s00161-020-00913-0
arxiv created 2020/03/08 · openalex publication_date 2020/08/12 · arxiv updated 2020/08/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We prove an explicit, non-local hydrodynamic closure for the linear one-dimensional kinetic equation independent on the size of the relaxation time. We compare this dynamical equation to the local approximations obtained from the Chapman--Enskog expansion for small relaxation times. Our results rely on the spectral theory of Jacobi operators with rank-one perturbations.