Hydrodynamics without boosts

Abstract

We construct the general first-order hydrodynamic theory invariant under time translations, the Euclidean group of spatial transformations and preserving particle number, that is with symmetry group ${\mathbb{R}}_t\times$ISO$(d)\times$U$(1)$. Such theories are important in a number of distinct situations, ranging from the hydrodynamics of graphene to flocking behaviour and the coarse-grained motion of self-propelled organisms. Furthermore, given the generality of this construction, we are are able to deduce special cases with higher symmetry by taking the appropriate limits. In this way we write the complete first-order theory of Lifshitz-invariant hydrodynamics. Among other results we present a class of non-dissipative first order theories which preserve parity.

25 pages

References in corpus (9)

• Hydrodynamics of electrons in graphene
• Newtonian Gravity and the Bargmann Algebra
• Revisiting non-relativistic limits
• Aspects of hot Galilean field theory
• Universal spatial structure of nonequilibrium steady states
• Lifshitz Hydrodynamics from Lifshitz Black Branes with Linear Momentum
• Horava-Lifshitz Black Hole Hydrodynamics
• Non-equilibrium steady states in quantum critical systems with Lifshitz scaling
• Dispersion relations in non-relativistic two-dimensional materials from quasinormal modes in Hořava Gravity

Cited by in corpus (22)

• Conformal Carroll Scalars with Boosts
• Colloquium: Hydrodynamics and holography of charge density wave phases
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• Ideal fracton superfluids
• The stochastic relativistic advection diffusion equation from the Metropolis algorithm
• Hydrodynamic effective field theories with discrete rotational symmetry
• Thermodynamic origin of the Landau instability of superfluids
• Hydrodynamics of plastic deformations in electronic crystals
• Non-dissipative electrically driven fluids
• Restoring time-reversal covariance in relaxed hydrodynamics
• Hydrodynamics of thermal active matter
• Enstrophy without boost symmetry
• Thermodynamic constraints and exact scaling exponents of flocking matter
• Field redefinition and its impact in relativistic hydrodynamics
• Beyond Drude transport in hydrodynamic metals
• Hydrodynamics without Boost-Invariance from Kinetic Theory: From Perfect Fluids to Active Flocks
• Fractons in curved space
• Effective field theory for hydrodynamics without boosts
• Dissipative electrically driven fluids
• Lifshitz hydrodynamics at generic $z$ from a moving black brane
• Counterflow and coflow instabilities in miscible binary superfluids