Restoring time-reversal covariance in relaxed hydrodynamics

Abstract

In hydrodynamics, for generic relaxations, the stress tensor and $U(1)$ charge current two-point functions are not time-reversal covariant. This remains true even if the Martin-Kadanoff procedure happens to yield Onsager reciprocal correlators. We consider linearised relativistic hydrodynamics on Minkowski space in the presence of energy, $U(1)$ charge and momentum relaxation. We then show how one can find the minimal relaxed hydrodynamic framework that does yield two-point functions consistent with time-reversal covariance. We claim the same approach naturally applies to boost agnostic hydrodynamics and its limits (e.g. Carrollian, Galilean and Lifshitz fluids).

arXiv comment16 pages, no figures, Submission to SciPost

References in corpus (25)

• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Lectures on hydrodynamic fluctuations in relativistic theories
• A simple holographic model of momentum relaxation
• Hydrodynamic theory of thermoelectric transport and negative magnetoresistance in Weyl semimetals
• Perfect Fluids
• Thermo-electric transport in gauge/gravity models with momentum dissipation
• Non-Boost Invariant Fluid Dynamics
• Magneto-transport from momentum dissipating holography
• The no-drag frame for anomalous chiral fluid
• Damping of Pseudo-Goldstone Fields
• Hydrodynamic Modes of Homogeneous and Isotropic Fluids
• Newton-Cartan Submanifolds and Fluid Membranes
• Hydrodynamic magneto-transport in charge density wave states
• Holographic plasma and anyonic fluids
• Hydrodynamics without boosts
• Magneto-thermal transport implies an incoherent Hall conductivity
• Holography in flat spacetime: 4D theories and electromagnetic duality on the border
• Hydrodynamics of charged two-dimensional Dirac systems I: thermo-electric transport
• Hydrodynamic approach to electronic transport in graphene: energy relaxation
• On the hydrodynamics of (2 + 1)-dimensional strongly coupled relativistic theories in an external magnetic field
• Non-dissipative electrically driven fluids
• A strongly coupled anyon material
• Electronic viscosity and energy relaxation in neutral graphene
• Magneto-transport in an anomalous fluid with weakly broken symmetries, in weak and strong regime
• Leading order magnetic field dependence of conductivities in anomalous hydrodynamics

Cited by in corpus (6)

• Relaxed hydrodynamic theory of electrically driven non-equilibrium steady states
• Relaxation terms for anomalous hydrodynamic transport in Weyl semimetals from kinetic theory
• Thermodynamic constraints and exact scaling exponents of flocking matter
• Dissipative electrically driven fluids
• The Hamiltonian mechanics of exotic particles
• Holographic D-brane constructions with dynamical gauge fields