Temperature in relativistic fluids

Abstract

For static matter in a gravitational field, different conventions for equilibrium local temperature exist in the classic physics literature. We illustrate the difference between two popular conventions using black-body radiation in a spherically symmetric gravitational potential. Equilibrium temperatures defined by the "Landau frame" or "Eckart frame" prescriptions most commonly used in relativistic fluid dynamics do not satisfy the statistical-mechanical relation $1/T=dS/dE$.

14 pages, 3 figures. V2: Small clarifications, version accepted for publication in PRD

References in corpus (8)

• Nonlinear Fluid Dynamics from Gravity
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Spectral sum rules for the quark-gluon plasma
• Kubo Formulae for Second-Order Hydrodynamic Coefficients
• Thermodynamical second-order hydrodynamic coefficients
• Relaxation time of a CFT plasma at finite coupling
• Second-order partition function of a non-interacting chiral fluid in 3+1 dimensions
• On the Gravitational Wave to Matter Coupling of Superfluid Fermi Gases Near Unitarity

Cited by in corpus (6)

• Causal and stable first-order chiral hydrodynamics
• Linear stability analysis in inhomogeneous equilibrium configurations
• Leading order magnetic field dependence of conductivities in anomalous hydrodynamics
• Heat propagation in rotating relativistic bodies
• Causal and Stable Superfluid Hydrodynamics
• Thermoelectric Conduction in General Relativity: A Causal, Stable, and Well Posed Theory