Relativistic hydrodynamics from projection operator method

Abstract

We study relativistic hydrodynamics in the linear regime, based on Mori's projection operator method. In relativistic hydrodynamics, it is considered that ambiguity about the fluid velocity occurs from a 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 the both frames by the projection operator method. We show that 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.

20 pages. The definition of the bulk viscosity is corrected

References in corpus (4)

• Stability and Causality in relativistic dissipative hydrodynamics
• Relativistic Dynamics of Non-ideal Fluids: Viscous and heat-conducting fluids II. Transport properties and microscopic description of relativistic nuclear matter
• Thermal momentum distribution from path integrals with shifted boundary conditions
• Transport Coefficients of Non-Newtonian Fluid and Causal Dissipative Hydrodynamics

Cited by in corpus (18)

• Fate of spin polarization in a relativistic fluid: An entropy-current analysis
• Counting rule for Nambu-Goldstone modes in nonrelativistic systems
• Chiral transport of neutrinos in supernovae: Neutrino-induced fluid helicity and helical plasma instability
• Electric conductivity of hot and dense quark matter in a magnetic field with Landau level resummation via kinetic equations
• Relativistic hydrodynamics from quantum field theory on the basis of the generalized Gibbs ensemble method
• New developments in relativistic magnetohydrodynamics
• Derivation of Hydrodynamics from the Hamiltonian description of particle systems
• Coarse Grained Quantum Dynamics
• Dispersion relations of Nambu-Goldstone modes at finite temperature and density
• Correlations of Energy-Momentum Tensor via Gradient Flow in SU(3) Yang-Mills Theory at Finite Temperature
• Broken spacetime symmetries and elastic variables
• Uniqueness of Landau-Lifshitz Energy Frame in Relativistic Dissipative Hydrodynamics
• Divergences in open quantum systems
• Landau and Eckart frames for relativistic fluids in nuclear collisions
• Generalized nonlinear Langevin equation from quantum nonlinear projection operator
• Dynamic density correlations in a baryon rich fluid using Mori-Zwanzig-Nakjima projection operator method
• Sonic velocity in holographic fluids and its applications
• Matter sources of gauge thermodynamics