First-order relativistic hydrodynamics is stable

Abstract

We study linearized stability in first-order relativistic viscous hydrodynamics in the most general frame. There is a region in the parameter space of transport coefficients where the perturbations of the equilibrium state are stable. This defines a class of stable frames, with the Landau-Lifshitz frame falling outside the class. The existence of stable frames suggests that viscous relativistic fluids may admit a sensible hydrodynamic description in terms of temperature, fluid velocity, and the chemical potential only, i.e. in terms of the same hydrodynamic variables as non-relativistic fluids. Alternatively, it suggests that the Israel-Stewart and similar constructions may be unnecessary for a sensible relativistic hydrodynamic theory.

arXiv comment26 pages. V2: Small clarifications, version published in JHEP

References in corpus (17)

• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Hydrodynamic Modeling of Heavy-Ion Collisions
• Quasinormal modes and holography
• Derivation of transient relativistic fluid dynamics from the Boltzmann equation
• Lectures on hydrodynamic fluctuations in relativistic theories
• Constraints on Fluid Dynamics from Equilibrium Partition Functions
• Towards hydrodynamics without an entropy current
• Causality and existence of solutions of relativistic viscous fluid dynamics with gravity
• Entropy Current in Conformal Hydrodynamics
• Relativistic magnetohydrodynamics
• A Bohr-Sommerfeld quantization formula for quasinormal frequencies of AdS black holes
• A theory of first order dissipative superfluid dynamics
• First order and stable relativistic dissipative hydrodynamics
• Constraints on the second order transport coefficients of an uncharged fluid
• Entropy Current from Partition Function: One Example
• Entropy current and equilibrium partition function in fluid dynamics
• Damping of hard excitations in strongly coupled $\mathcal{N}=4$ plasma

Cited by in corpus (170)

• Nonlinear causality of general first-order relativistic viscous hydrodynamics
• Dense Nuclear Matter Equation of State from Heavy-Ion Collisions
• The complex life of hydrodynamic modes
• Hydrodynamics of spin currents
• Stable and causal relativistic Navier-Stokes equations
• Relativistic second-order dissipative spin hydrodynamics from the method of moments
• Novel Relaxation Time Approximation to the Relativistic Boltzmann Equation
• Nonlinear Constraints on Relativistic Fluids Far From Equilibrium
• Relativistic fluid dynamics: physics for many different scales
• The smallest fluid on earth
• Can we make sense of dissipation without causality?
• Hydrodynamics of simply spinning black holes & hydrodynamics for spinning quantum fluids
• When the entropy has no maximum: A new perspective on the instability of the first-order theories of dissipation
• Fluctuation dynamics in a relativistic fluid with a critical point
• Future Physics Perspectives on the Equation of State from Heavy Ion Collisions to Neutron Stars
• Relativistic second-order spin hydrodynamics: an entropy-current analysis
• Theories of Relativistic Dissipative Fluid Dynamics
• New developments in relativistic magnetohydrodynamics
• Colloquium: Hydrodynamics and holography of charge density wave phases
• Chiral hydrodynamics in strong external magnetic fields
• Causality violations in realistic simulations of heavy-ion collisions
• Rigorous bounds on transport from causality
• Bounds on transport from hydrodynamic stability
• A numerical exploration of first-order relativistic hydrodynamics
• Hydrodynamics, spin currents and torsion
• Relativistic non-resistive viscous magnetohydrodynamics from the kinetic theory:a relaxation time approach
• Transient Relativistic Fluid Dynamics in a General Hydrodynamic Frame
• Bulk viscosity in relativistic fluids: from thermodynamics to hydrodynamics
• General-relativistic hydrodynamics of non-perfect fluids: 3+1 conservative formulation and application to viscous black-hole accretion
• Hydrodynamics for charge density waves and their holographic duals
• On non-conformal kinetic theory and hydrodynamics for Bjorken flow
• Gauges in Three-Dimensional Gravity and Holographic Fluids
• Constraints on quasinormal modes and bounds for critical points from pole-skipping
• Stability studies of first order spin-hydrodynamic frameworks
• Applying the Gibbs stability criterion to relativistic hydrodynamics
• Modeling general-relativistic plasmas with collisionless moments and dissipative two-fluid magnetohydrodynamics
• Fluctuating relativistic dissipative hydrodynamics as a gauge theory
• Probing internal dissipative processes of neutron stars with gravitational waves during the inspiral of neutron star binaries
• Dissipative Magnetohydrodynamics for Non-Resistive Relativistic Plasmas
• Conservative finite volume scheme for first-order viscous relativistic hydrodynamics
• Causal first-order hydrodynamics from kinetic theory and holography
• Inverse-Reynolds-Dominance approach to transient fluid dynamics
• Hydrodynamic Attractors in Ultrarelativistic Nuclear Collisions
• A stable and causal model of magnetohydrodynamics
• Progress and Challenges in Small Systems
• Dynamics of Hot QCD Matter -- Current Status and Developments
• Dispersion relations alone cannot guarantee causality
• Symmetric-hyperbolic quasi-hydrodynamics
• Perturbative approaches in relativistic kinetic theory and the emergence of first-order hydrodynamics
• First order non-Lorentzian fluids, entropy production and linear instabilities
• Dynamics and Observational Signatures of Shell-like Black Hole Mimickers
• Simulating bulk viscosity in neutron stars. II. Evolution in spherical symmetry
• Critical lensing and kurtosis near a critical point in the QCD phase diagram in and out-of-equilibrium
• Impact of bulk viscosity on the post-merger gravitational-wave signal from merging neutron stars
• Evolutions in first-order viscous hydrodynamics
• Relativistic Liquids: GENERIC or EIT?
• Hydrodynamic theories for a system of weakly self-interacting classical ultra-relativistic scalar particles: microscopic derivations and attractors
• Dissipative relativistic magnetohydrodynamics of a multicomponent mixture and its application to neutron stars
• 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?
• Non-Existence and Existence of Shock Profiles in the Bemfica-Disconzi-Noronha Model
• Effective field theory for non-relativistic hydrodynamics
• Is Relativistic Hydrodynamics always Symmetric-Hyperbolic in the Linear Regime?
• The regime of applicability of Israel-Stewart hydrodynamics
• A covariant approach to relativistic large-eddy simulations: The fibration picture
• The stochastic relativistic advection diffusion equation from the Metropolis algorithm
• Fluid nature constrains Horndeski gravity
• The Hydrohedron: Bootstrapping Relativistic Hydrodynamics
• Conformal Bjorken flow in the general frame and its attractor: Similarities and discrepancies with the Müller-Israel-Stewart formalism
• Transport coefficients of quasi-particle models within a new relaxation time approximation of the Boltzmann equation
• Universality Classes of Relativistic Fluid Dynamics: Foundations
• Relativistic hydrodynamics with momentum dependent relaxation time
• Numerical modelling of bulk viscosity in neutron stars
• Causal and stable first-order chiral hydrodynamics
• Relativistic Hydrodynamics: A Singulant Perspective
• Fully developed relativistic turbulence
• Fluctuating Relativistic hydrodynamics from Crooks theorem
• Strong-coupling dynamics and entanglement in de Sitter space
• Holographic approach of the spinodal instability to criticality
• Recent developments in mathematical aspects of relativistic fluids
• Causality Bounds on Dissipative General-Relativistic Magnetohydrodynamics
• Linearized dispersion relations in viscous relativistic hydrodynamics
• Cosmological consequences of first-order general-relativistic viscous fluid dynamics
• Correspondence between Israel-Stewart and first-order casual and stable hydrodynamics for the boost-invariant massive case with zero baryon density
• Relativistic second-order viscous hydrodynamics from kinetic theory with extended relaxation-time approximation
• Fluid-gravity correspondence and causal first-order relativistic viscous hydrodynamics
• Nonlinear Fluctuations in Relativistic Causal Fluids
• The non-relativistic limit of first-order relativistic viscous fluids
• Diffusion matrix associated with the diffusion processes of multiple conserved charges in a hot and dense hadronic matter
• Linear stability analysis in inhomogeneous equilibrium configurations
• Breakdown of smooth solutions to the Müller-Israel-Stewart equations of relativistic viscous fluids
• Perturbations of relativistic dissipative stars
• Stability of multicomponent Israel-Stewart-Maxwell theory for charge diffusion
• Causality and stability analysis of first-order field redefinition in relativistic hydrodynamics from kinetic theory
• Consistent inclusion of fluctuations in first-order causal and stable relativistic hydrodynamics
• Branch-cut in the shear-stress response function of massless $\lambda {\phi }^4$ with Boltzmann statistics
• Generic instabilities in the relativistic Chapman-Enskog heat conduction law
• Horizonless black hole mimickers with spin
• Anomalous Hall instability in the Chern-Simons magnetohydrodynamics
• Universality Classes of Relativistic Fluid Dynamics: Applications
• Leading order magnetic field dependence of conductivities in anomalous hydrodynamics
• Transport coefficients of magnetized neutron star cores
• Linearizing a Non-linear Formulation for General Relativistic Dissipative Fluids
• Second order relativistic viscous hydrodynamics within an effective description of hot QCD medium
• Phenomenological Relativistic Second-Order Hydrodynamics for Multiflavor Fluids
• General relativistic non-ideal fluid equations for dark matter from a truncated cumulant expansion
• Infinite Order Hydrodynamics: An Analytical Example
• Radiation in Fluid/Gravity and the Flat Limit
• Analytic solutions for the linearized first-order magnetohydrodynamics and implications for causality and stability
• Field redefinition and its impact in relativistic hydrodynamics
• Dynamical fixed points in holography
• Generalization of Bantilan-Ishi-Romatschke flow to Magnetohydrodynamics
• Analytic structure of diffusive correlation functions
• Nonlinear waves in a hot, viscous and nonextensive quark gluon plasma
• Correspondence between momentum dependent relaxation time and field redefinition of relativistic hydrodynamic theory
• Transport Coefficients of relativistic matter: A detailed formalism with a gross knowledge of their magnitude
• Heat propagation in rotating relativistic bodies
• Dynamical spectral structure of density fluctuation near QCD critical point
• First-order relativistic hydrodynamics with an information current
• Mapping GENERIC hydrodynamics into Carter's multifluid theory
• Higher-level large-eddy filtering strategy for general relativistic fluid simulations
• Effective field theory for hydrodynamics without boosts
• Relaxation time approximation revisited and non-analytical structure in retarded correlators
• Causality Criteria from Stability Analysis at Ultra-High Boost
• Noncovariant parabolic theories of relativistic diffusion
• Relativistic BGK hydrodynamics
• The evolution equation for the energy-momentum moments of the non-equilibrium density function & The regularized relativistic third order hydrodynamics
• Causality and stability in first-order conformal anisotropic hydrodynamics
• Relativistic heat conduction in the large-flux regime
• Generalized relativistic second-order dissipative hydrodynamics: coupling different rank tensors
• Sustaining quasi de-Sitter inflation with bulk viscosity
• First-Order Viscous Relativistic Hydrodynamics on the Two-Sphere
• Resurgence for the non-conformal Bjorken flow with Fermi-Dirac and Bose-Einstein statistics
• Spin hydrodynamics -- recent developments
• Radial Oscillations of Viscous Neutron Stars: Zero Diffusion Case
• Neutron star evolution with the Bemfica-Disconzi-Noronha-Kovtun viscous hydrodynamics framework
• Deformations of the AdS-Schwarzschild black brane and the shear viscosity of the quark-gluon plasma
• Confinement/deconfinement at low temperatures and rotation in the exact soft wall model
• Thermal dilepton production within conformal viscous Gubser flow
• Correspondence between Israel-Stewart and first-order causal and stable hydrodynamics for Bjorken-expanding baryon-rich systems with vanishing particle masses
• Holographic Constraints on Generalised Rivlin-Ericksen Fluid
• Firewall boundaries and mixed phases of rotating quark matter in linear sigma model
• Strongly hyperbolic quasilinear systems revisited, with applications to relativistic fluid dynamics
• Stable non-linear evolution in regularised higher derivative effective field theories
• Constraint evolution in first-order viscous relativistic fluids
• Projecting the likely importance of weak-interaction-driven bulk viscosity in neutron star mergers
• Causal and Stable Superfluid Hydrodynamics
• Resistive relativistic magnetohydrodynamics without Amperes Law
• Relativistic Fluids, Hydrodynamic Frames and their Galilean versus Carrollian Avatars
• Finite-time gradient blow-up and shock formation in Israel-Stewart theory: Bulk, shear, and diffusion regimes
• Radial Oscillations of Viscous Stars
• The initial data of effective field theories of relativistic viscous fluids and gravity
• How Lorentz boosts reshape relaxation spectra
• Linear response in a charged gas in curved spacetime and covariant heat equation
• Anomaly-induced edge currents in hydrodynamics with parity anomaly
• Nonlinear causality of Israel-Stewart theory with diffusion
• Acausality-driven instabilities in transient relativistic viscous hydrodynamics
• Transient fluid dynamics with general matching conditions: a first study from the method of moments
• The diffusion equation is compatible with special relativity
• Relativistic second-order dissipative hydrodynamics from Zubarev's non-equilibrium statistical operator
• Dynamics of a nonminimally coupled scalar field in asymptotically $Ad{S}_4$ spacetime
• Extending Israel and Stewart hydrodynamics to relativistic superfluids via Carter's multifluid approach
• Review of heat and charge transport in strongly magnetized relativistic plasmas
• Transport and response coefficients in second-order dissipative relativistic hydrodynamics with quantum corrections: probing the quark-gluon plasma
• Dissipative superfluid relativistic magnetohydrodynamics of a multicomponent fluid: the combined effect of particle diffusion and vortices
• Phase transitions at high and low densities for a rotating QCD matter from holography
• Stationary Couette-type flows in relativistic fluids
• Effective Lifshitz black holes, hydrodynamics, and transport coefficients in fluid/gravity correspondence
• Thermoelectric Conduction in General Relativity: A Causal, Stable, and Well Posed Theory
• A general relativistic kinetic theory approach to linear transport in generic hydrodynamic frame