Uniqueness of Landau-Lifshitz energy frame in relativistic dissipative hydrodynamics

2012/06/18 by Kyosuke Tsumura, Teiji Kunihiro
Engineering · Mathematics · Physics and Astronomy · #Boltzmann equation #Classical mechanics #Dissipative system #Fluid Dynamics and Turbulent Flows #High-Energy Particle Collisions Research #Kinetic energy #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #Rest frame #Uniqueness #math-ph #math.MP #nucl-th #physics.flu-dyn

paper · pdf · doi:10.1103/physreve.87.053008

6 pages

arxiv created 2012/06/18 · openalex publication_date 2013/05/13 · arxiv updated 2015/06/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We show that the relativistic dissipative hydrodynamic equation derived from the relativistic Boltzmann equation by the renormalization-group method uniquely leads to the one in the energy frame proposed by Landau and Lifshitz, provided that the macroscopic-frame vector, which defines the local rest frame of the flow velocity, is independent of the momenta of constituent particles, as it should. We argue that the relativistic hydrodynamic equations for viscous fluids must be defined on the energy frame if consistent with the underlying relativistic kinetic equation.

Citations

• Dynamical Density Fluctuations around QCD Critical Point Based on Dissipative Relativistic Fluid Dynamics: Possible Fate of Mach Cone at the Critical Point
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