Enstrophy without boost symmetry
arXiv:2103.06840 · doi:10.21468/SciPostPhys.12.4.136
Abstract
We construct an approximately conserved current for dimensional, Aristotelian (non boost invariant), fluid flow. When Aristotelian symmetry is enhanced to Galilean symmetry, this current matches the enstrophy current responsible for the inverse cascade in incompressible fluids. Other enhancements of Aristotelian symmetry discussed in this work include Lorentzian, Carrollian and Lifshitz scale symmetry.
arXiv commentv2: a few more comments and clarifications
References in corpus (23)
- Flocks, herds, and schools: A quantitative theory of flocking
- General coordinate invariance and conformal invariance in nonrelativistic physics: Unitary Fermi gas
- Gauging the Carroll Algebra and Ultra-Relativistic Gravity
- Boundary Stress-Energy Tensor and Newton-Cartan Geometry in Lifshitz Holography
- Spacetime Symmetries of the Quantum Hall Effect
- Non-relativistic conformal symmetries and Newton-Cartan structures
- Dynamics of Carroll Particles
- Horava-Lifshitz Gravity From Dynamical Newton-Cartan Geometry
- Schroedinger Invariance from Lifshitz Isometries in Holography and Field Theory
- On the coupling of Galilean-invariant field theories to curved spacetime
- Covariant Galilean versus Carrollian hydrodynamics from relativistic fluids
- Perfect Fluids
- Galilean Isometries
- Fields and fluids on curved non-relativistic spacetimes
- Turbulent flows for relativistic conformal fluids in 2+1 dimensions
- Field Theory on Newton-Cartan Backgrounds and Symmetries of the Lifshitz Vacuum
- Non-Boost Invariant Fluid Dynamics
- Torsional Newton-Cartan Geometry from the Noether Procedure
- First order non-Lorentzian fluids, entropy production and linear instabilities
- Hydrodynamics without boosts
- Existence and Construction of Galilean invariant Theories
- Numerical Measurements of Scaling Relations in Two-Dimensional Conformal Fluid Turbulence
- Scaling Relations in Two-Dimensional Relativistic Hydrodynamic Turbulence