2012/10/31 by Yuki Minami, Yoshimasa Hidaka · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Algorithm #Ambiguity #Classical mechanics #Computational Fluid Dynamics and Aerodynamics #Computer science #Cosmology and Gravitation Theories #Frame (networking) #Galaxy #Mathematical analysis #Mathematics #Operator (biology) #Physics #Projection (relational algebra) #Quantum mechanics #Reference frame #Rest (music) #Rest frame #cond-mat.stat-mech #hep-ph
paper · pdf · doi:10.1103/physreve.87.023007
20 pages. The definition of the bulk viscosity is corrected
openalex publication_date 2013/02/13 · arxiv created 2018/02/28 · arxiv updated 2018/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study relativistic hydrodynamics in the linear regime, based on Mori's projection operator method. In relativistic hydrodynamics, it is considered that an ambiguity about the fluid velocity occurs from the choice of a local rest frame: the Landau and Eckart frames. We find that the difference of the frames is not the choice of the local rest frame, but rather that of dynamic variables in the linear regime. We derive hydrodynamic equations in both frames by the projection operator method. We show that the natural derivation gives the linearized Landau equation. Also we find that, even for the Eckart frame, the slow dynamics is actually described by the dynamic variables for the Landau frame.