Parity-Violating Hydrodynamics in 2+1 Dimensions

Abstract

We study relativistic hydrodynamics of normal fluids in two spatial dimensions. When the microscopic theory breaks parity, extra transport coefficients appear in the hydrodynamic regime, including the Hall viscosity, and the anomalous Hall conductivity. In this work we classify all the transport coefficients in first order hydrodynamics. We then use properties of response functions and the positivity of entropy production to restrict the possible coefficients in the constitutive relations. All the parity-breaking transport coefficients are dissipationless, and some of them are related to the thermodynamic response to an external magnetic field and to vorticity. In addition, we give a holographic example of a strongly interacting relativistic fluid where the parity-violating transport coefficients are computable.

39+1 pages

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Cited by in corpus (107)

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• Adiabatic hydrodynamics: The eightfold way to dissipation
• Relativistic magnetohydrodynamics
• Thermal Hall Effect and Geometry with Torsion
• On the coupling of Galilean-invariant field theories to curved spacetime
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• Triangle Anomalies, Thermodynamics, and Hydrodynamics
• Dissipative hydrodynamics in superspace
• Transport signatures of Hall viscosity
• Revisiting non-relativistic limits
• Effective actions for anomalous hydrodynamics
• Chiral conductivities and effective field theory
• Hall viscosity, topological states and effective theories
• Fields and fluids on curved non-relativistic spacetimes
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• Non-dissipative hydrodynamics: Effective actions versus entropy current
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• Aspects of hot Galilean field theory
• Heavy Operators and Hydrodynamic Tails
• Constraints on Superfluid Hydrodynamics from Equilibrium Partition Functions
• Chiral hydrodynamics in strong external magnetic fields
• Entropy current and equilibrium partition function in fluid dynamics
• Electron hydrodynamics with a polygonal Fermi surface
• Entropy Current from Partition Function: One Example
• A panoply of Schwinger-Keldysh transport
• Quasinormal modes of charged magnetic black branes & chiral magnetic transport
• Chiral and Gravitational Anomalies on Fermi Surfaces
• Phenomenology of non-relativistic parity-violating hydrodynamics in 2+1 dimensions
• Gyrohydrodynamics: Relativistic spinful fluid with strong vorticity
• Thermodynamics of polarized relativistic matter
• Non-Relativistic Parity-Violating Hydrodynamics in Two Spatial Dimensions
• Passive odd viscoelasticity
• Holographic perfect fluidity, Cotton energy-momentum duality and transport properties
• SL(2,Z) Action on AdS/BCFT and Hall Conductivities
• Holographic Fluids with Vorticity and Analogue Gravity
• Holography and magnetohydrodynamics with dynamical gauge fields
• Incompressible Navier-Stokes Equations from Einstein Gravity with Chern-Simons Term
• Kubo formulas for thermodynamic transport coefficients
• Holographic DC conductivity and Onsager relations
• Anomalous charged fluids in 1+1d from equilibrium partition function
• Spontaneous Generation of Angular Momentum in Holographic Theories
• Magneto-thermal transport implies an incoherent Hall conductivity
• Momentum and charge transport in non-relativistic holographic fluids from Hořava gravity
• Holographic Spontaneous Parity Breaking and Emergent Hall Viscosity and Angular Momentum
• A holographic model for the fractional quantum Hall effect
• Surface transport in plasma-balls
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• An entropy current in superspace
• Odd Parity Transport In Non-Abelian Superfluids From Symmetry Locking
• Topical Review on Skyrmions and Hall Transport
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• Universality of anomalous conductivities in theories with higher-derivative holographic duals
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• On the surface of superfluids
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• Entropy current for non-relativistic fluid
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• Ward Identities for Hall Transport
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• Chiral vortical effect from the compactified D4-branes with smeared D0-brane charge
• Probe particles in odd active viscoelastic fluids: how activity and dissipation determine linear stability
• Parity violating quantum kinetic theory in (2+1)-dimensions
• Hydrodynamic attractors for the speed of sound in holographic Bjorken flow
• Parity odd equilibrium partition function in 2+1 dimensions
• Temperature in relativistic fluids
• Hall Viscosity and Angular Momentum in Gapless Holographic Models
• Equilibrium thermodynamic susceptibilities for a dense degenerate Dirac field
• Hydrodynamics on the lowest Landau level
• Sign of viscous magnetoresistance in electron fluids
• Hydrodynamic Excitations from Chiral Kinetic Theory and the Hydrodynamic Frames
• Holographic parity violating charged fluid dual to Chern-Simons modified gravity
• Superfluid Kubo Formulas from Partition Function
• A Holographic Model for Pseudogap in BCS-BEC Crossover (I): Pairing Fluctuations, Double-Trace Deformation and Dynamics of Bulk Bosonic Fluid
• Membrane Paradigm, Gravitational $\Theta$-Term and Gauge/Gravity Duality
• Electric conductivity in non-Hermitian holography
• Hall Viscosity in a Strongly Coupled Magnetized Plasma
• Electron Currents from Gradual Heating in Tilted Dirac Cone Materials
• Non-equilibrium dynamics in Holography
• Torsional response of relativistic fermions in $2+1$ dimensions
• Angular Momentum Generation by Parity Violation
• Viscosity of holographic fluid in the presence of dark matter sector
• Hydrodynamics of a relativistic charged fluid in the presence of a periodically modulated chemical potential
• Hall viscosity and hydrodynamic inverse Nernst effect in graphene
• Angular Momentum Generation from Holographic Chern-Simons Models
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• Galilean Geometry in Condensed Matter Systems
• Generalizing Thiele Equation
• Skyrmions and Hall viscosity
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• Building Magnetic Hysteresis in Holography
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