Causal and stable first-order chiral hydrodynamics
arXiv:2308.02928 · doi:10.1103/PhysRevD.109.094007
Abstract
We derive the set of inequalities that is necessary and sufficient for nonlinear causality and linear stability of first-order relativistic hydrodynamics with either a conserved current or a current with a chiral anomaly or both. Our results apply to generic hydrodynamic frames in which no relations among the transport parameters are imposed. Furthermore, our analysis yields, to the best of our knowledge, the first theory of viscous chiral hydrodynamics proven to be causal and stable. We find that causality demands the absence of vorticity-induced heat flux, forcing a departure from the thermodynamic frame in the chiral case. The inequalities for causality and stability define a hypervolume in the space of transport parameters, wherein each point corresponds to a consistent formulation. Notably, causality is determined by just three combinations of transport parameters. We present our results in a form amenable to numerical hydrodynamic simulations.
21 pages, 1 figure. Version accepted for publication in Physical Review D
References in corpus (77)
- The Chiral Magnetic Effect
- The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
- Collective flow and viscosity in relativistic heavy-ion collisions
- Hydrodynamics with Triangle Anomalies
- Recent developments in transport phenomena in Weyl semimetals
- Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
- Derivation of transient relativistic fluid dynamics from the Boltzmann equation
- Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
- Fluid dynamics of R-charged black holes
- Binary neutron-star mergers: a review of Einstein's richest laboratory
- Lectures on hydrodynamic fluctuations in relativistic theories
- Gravitational Anomaly and Transport
- "Strongly interacting matter in magnetic fields": an overview
- Chiral Kinetic Theory
- Hydrodynamics from charged black branes
- Kinetic theory with Berry curvature from quantum field theories
- Constraints on Fluid Dynamics from Equilibrium Partition Functions
- Electromagnetic fields and anomalous transports in heavy-ion collisions --- A pedagogical review
- Towards hydrodynamics without an entropy current
- Berry curvature and 4-dimensional monopole in relativistic chiral kinetic equation
- First-order relativistic hydrodynamics is stable
- Causality and existence of solutions of relativistic viscous fluid dynamics with gravity
- Relativistic fluid dynamics with spin
- Relativistic Hydrodynamics with General Anomalous Charges
- On the importance of viscous dissipation and heat conduction in binary neutron-star mergers
- Chiral Plasma Instabilities
- Nonlinear causality of general first-order relativistic viscous hydrodynamics
- Holographic Gravitational Anomaly and Chiral Vortical Effect
- Fate of spin polarization in a relativistic fluid: An entropy-current analysis
- Relativistic Chiral Kinetic Theory from Quantum Field Theories
- Generating spin polarization from vorticity through nonlocal collisions
- The chiral magnetic effect in hydrodynamical approach
- Collisions in Chiral Kinetic Theory
- Relativistic dissipative spin dynamics in the relaxation time approximation
- Stability and Causality in relativistic dissipative hydrodynamics
- Complete and Consistent Chiral Transport from Wigner Function Formalism
- Anomalous Chiral Transport in Heavy Ion Collisions from Anomalous-Viscous Fluid Dynamics
- Hydrodynamics of spin currents
- Local thermodynamical equilibrium and the beta frame for a quantum relativistic fluid
- Stable and causal relativistic Navier-Stokes equations
- Self-similar inverse cascade of magnetic helicity driven by the chiral anomaly
- A theory of first order dissipative superfluid dynamics
- Anomalous transport coefficients from Kubo formulas in Holography
- Anomaly inflow and thermal equilibrium
- Relativistic second-order dissipative spin hydrodynamics from the method of moments
- Triangle Anomalies, Thermodynamics, and Hydrodynamics
- Causality of the Einstein-Israel-Stewart Theory with Bulk Viscosity
- Kinetic theory of chiral relativistic plasmas and energy density of their gauge collective excitations
- Nonlinear Constraints on Relativistic Fluids Far From Equilibrium
- Dynamical evolution of the chiral magnetic effect: Applications to the quark-gluon plasma
- First order and stable relativistic dissipative hydrodynamics
- Mixed Anomalies: Chiral Vortical Effect and the Sommerfeld Expansion
- Global Anomalies, Discrete Symmetries, and Hydrodynamic Effective Actions
- Signatures of Chiral Magnetic Effect in the Collisions of Isobars
- Chiral hydrodynamics in strong external magnetic fields
- Side-Jump Induced Spin-Orbit Interaction of Chiral Fluids from Kinetic Theory
- Bounds on transport from hydrodynamic stability
- Chiral Vortical Effect for Bosons
- A numerical exploration of first-order relativistic hydrodynamics
- Zilch Vortical Effect, Berry Phase, and Kinetic Theory
- Chiral vortical effect with finite rotation, temperature, and curvature
- Transient Relativistic Fluid Dynamics in a General Hydrodynamic Frame
- Causality of fluid dynamics for high-energy nuclear collisions
- The no-drag frame for anomalous chiral fluid
- General thermodynamic equilibrium with axial chemical potential for the free Dirac field
- Stability studies of first order spin-hydrodynamic frameworks
- The causality and stability of relativistic spin-hydrodynamics
- Perturbative approaches in relativistic kinetic theory and the emergence of first-order hydrodynamics
- Second-order dissipative hydrodynamics for plasma with chiral asymmetry and vorticity
- Evolutions in first-order viscous hydrodynamics
- Hydrodynamic theories for a system of weakly self-interacting classical ultra-relativistic scalar particles: microscopic derivations and attractors
- Causal, stable first-order viscous relativistic hydrodynamics with ideal gas microphysics
- Is first-order relativistic hydrodynamics in general frame stable and causal for arbitrary interaction?
- CVE for photons: black-hole vs. flat-space derivation
- Temperature in relativistic fluids
- On the existence of solutions and causality for relativistic viscous conformal fluids
- An expedition to the islands of stability in the first-order causal hydrodynamics
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- Progress and Challenges in Small Systems
- Recent developments in mathematical aspects of relativistic fluids
- Analytic solutions for the linearized first-order magnetohydrodynamics and implications for causality and stability
- Confinement/deconfinement at low temperatures and rotation in the exact soft wall model
- Causal and Stable Superfluid Hydrodynamics
- Nonlinear causality of Israel-Stewart theory with diffusion
- Phase transitions at high and low densities for a rotating QCD matter from holography