Causality and stability in relativistic viscous non-resistive magneto-fluid dynamics

Abstract

We investigate the causality and the stability of the relativistic viscous magneto-hydrodynamics in the framework of the Israel-Stewart (IS) second-order theory, and also within a modified IS theory which incorporates the effect of magnetic fields in the relaxation equations of the viscous stress. We compute the dispersion relation by perturbing the fluid variables around their equilibrium values. In the ideal magnetohydrodynamics limit, the linear dispersion relation yields the well-known propagating modes: the Alfvén and the magneto-sonic modes.In the presence of bulk viscous pressure, the causality bound is found to be independent of the magnitude of the magnetic field. The same bound also remains true, when we take the full non-linear form of the equation using the method of characteristics. In the presence of shear viscous pressure, the causality bound is independent of the magnitude of the magnetic field for the two magneto-sonic modes. The causality bound for the shear-Alfvén modes, however, depends both on the magnitude and the direction of the propagation. For modified IS theory in the presence of shear viscosity, new non-hydrodynamic modes emerge but the asymptotic causality condition is the same as that of IS. In summary, although the magnetic field does influence the wave propagation in the fluid, the study of the stability and asymptotic causality conditions in the fluid rest frame shows that the fluid remains stable and causal given that they obey certain asymptotic causality condition.

arXiv comment38 pages, 7 figures, published in JHEP

References in corpus (114)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• 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
• The equation of state in (2+1)-flavor QCD
• Conformal Relativistic Viscous Hydrodynamics: Applications to RHIC results at sqrt(s_NN) = 200 GeV
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Event-by-event generation of electromagnetic fields in heavy-ion collisions
• Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
• Transport coefficients in high temperature gauge theories: (II) Beyond leading log
• Derivation of transient relativistic fluid dynamics from the Boltzmann equation
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Parity violation in hot QCD: why it can happen, and how to look for it
• Electromagnetic field evolution in relativistic heavy-ion collisions
• Event-by-event fluctuations of magnetic and electric fields in heavy ion collisions
• Mapping the Phases of Quantum Chromodynamics with Beam Energy Scan
• Chiral Kinetic Theory
• Kinetic theory with Berry curvature from quantum field theories
• Electromagnetic fields and anomalous transports in heavy-ion collisions --- A pedagogical review
• Berry curvature and 4-dimensional monopole in relativistic chiral kinetic equation
• Higher flow harmonics from (3+1)D event-by-event viscous hydrodynamics
• Lorentz Invariance in Chiral Kinetic Theory
• Electrical conductivity of the quark-gluon plasma across the deconfinement transition
• Electrical conductivity and charge diffusion in thermal QCD from the lattice
• Relativistic Chiral Kinetic Theory from Quantum Field Theories
• Does stability of relativistic dissipative fluid dynamics imply causality?
• The electrical conductivity and soft photon emissivity of the QCD plasma
• General-relativistic resistive magnetohydrodynamics in three dimensions: Formulation and tests
• Generalized global symmetries and dissipative magnetohydrodynamics
• Numerical magneto-hydrodynamics for relativistic nuclear collisions
• Influence of a temperature-dependent shear viscosity on the azimuthal asymmetries of transverse momentum spectra in ultrarelativistic heavy-ion collisions
• Particle spectra in Pb-Pb collisions at 2.76 TeV
• Collisions in Chiral Kinetic Theory
• Nonlinear Responses of Chiral Fluids from Kinetic Theory
• Anisotropic Hydrodynamics, Bulk Viscosities and R-Modes of Strange Quark Stars with Strong Magnetic Fields
• Lambda hyperon polarization in relativistic heavy ion collisions from the chiral kinetic approach
• Real-time dynamics of the Chiral Magnetic Effect
• Relativistic magnetohydrodynamics
• Stability and Causality in relativistic dissipative hydrodynamics
• Complete and Consistent Chiral Transport from Wigner Function Formalism
• Analytic Bjorken flow in one-dimensional relativistic magnetohydrodynamics
• Kubo formulas for relativistic fluids in strong magnetic fields
• Chiral transport equation from the quantum Dirac Hamiltonian and the on-shell effective field theory
• Remarks on possible local parity violation in heavy ion collisions
• Axial Current Generation from Electric Field: Chiral Electric Separation Effect
• Holography and hydrodynamics with weakly broken symmetries
• Anomalous chiral transports and spin polarization in heavy-ion collisions
• Derivation of fluid dynamics from kinetic theory with the 14--moment approximation
• Electric conductivity of the quark-gluon plasma investigated using a perturbative QCD based parton cascade
• Experimental searches for the chiral magnetic effect in heavy-ion collisions
• Bjorken flow in one-dimensional relativistic magnetohydrodynamics with magnetization
• Magnetic fields in heavy ion collisions: flow and charge transport
• Causality of the Einstein-Israel-Stewart Theory with Bulk Viscosity
• Anomalous transport effects and possible environmental symmetry "violation" in heavy ion collisions
• Kinetic theory of chiral relativistic plasmas and energy density of their gauge collective excitations
• Chiral kinetic theory in curved spacetime
• Electromagnetic fields with electric and chiral magnetic conductivities in heavy ion collisions
• Non-resistive dissipative magnetohydrodynamics from the Boltzmann equation in the 14-moment approximation
• Longitudinal Conductivity in Strong Magnetic Field in Perturbative QCD: Complete Leading Order
• Resistive dissipative magnetohydrodynamics from the Boltzmann-Vlasov equation
• On the relative importance of second-order terms in relativistic dissipative fluid dynamics
• The chiral anomaly, Berry's phase and chiral kinetic theory, from world-lines in quantum field theory
• The viscosity of quark-gluon plasma at RHIC and the LHC
• Spin Polarizations in a Covariant Angular-Momentum-Conserved Chiral Transport Model
• Disentangling covariant Wigner functions for chiral fermions
• From kinetic theory to dissipative fluid dynamics
• Electric conductivity of hot and dense quark matter in a magnetic field with Landau level resummation via kinetic equations
• Extreme matter in electromagnetic fields and rotation
• Generalised global symmetries in holography: magnetohydrodynamic waves in a strongly interacting plasma
• Effect of intense magnetic fields on reduced-MHD evolution in $\sqrt{s_{\mathrm{NN}}}$ = 200 GeV Au+Au collisions
• Effective description of hot QCD medium in strong magnetic field and longitudinal conductivity
• Electrical conductivity of a warm neutron star crust in magnetic fields
• Chiral electric separation effect in the quark-gluon plasma
• Anisotropic transport properties of Hadron Resonance Gas in magnetic field
• Event-by-event distribution of magnetic field energy over initial fluid energy density in $\sqrt{s_{\mathrm{NN}}}$= 200 GeV Au-Au collisions
• Transport coefficients of hot magnetized QCD matter beyond the lowest Landau level approximation
• Anomalous-hydrodynamic analysis of charge-dependent elliptic flow in heavy-ion collisions
• Azimuthal angle dependence of the longitudinal spin polarization in relativistic heavy ion collisions
• Chiral Hall Effect and Chiral Electric Waves
• Electrical conductivity and Hall conductivity of hot and dense hadron gas in a magnetic field: a relaxation time approach
• Transport coefficients of hot and dense hadron gas in a magnetic field: a relaxation time approach
• The QGP shear viscosity -- elusive goal or just around the corner?
• Electrical conductivity and Hall conductivity of hot and dense quark gluon plasma in a magnetic field: a quasi particle approach
• Transverse flow induced by inhomogeneous magnetic fields in the Bjorken expansion
• Axial Ward identity and the Schwinger mechanism -- Applications to the real-time chiral magnetic effect and condensates
• Wigner function and pair production in parallel electric and magnetic fields
• Holographic Chiral Electric Separation Effect
• Electrical conductivity of quark matter at finite T under external magnetic field
• Nonlinear electromagnetic response in quark-gluon plasma
• Chiral kinetic approach to the chiral magnetic effect in isobaric collisions
• Chiral Kinetic Theory from Effective Field Theory Revisited
• Anomalous transport model study of chiral magnetic effects in heavy ion collisions
• On Mass correction to Chiral Vortical Effect and Chiral Separation Effect
• Causality of fluid dynamics for high-energy nuclear collisions
• Anomalous magnetohydrodynamics with longitudinal boost invariance and chiral magnetic effect
• Nonlinear Chiral Transport Phenomena
• Chiral kinetic theory from Landau level basis
• Comparison of results from a 2+1D relativistic viscous hydrodynamic model to elliptic and hexadecapole flow of charged hadrons measured in Au-Au collisions at $\sqrt{s_{\mathrm{NN}}}$ = 200 GeV
• Electrical Conductivity of Dense Quark Matter with Fluctuations and Magnetic Field Included
• Study of chiral vortical and magnetic effects in the anomalous transport model
• Shock propagation and stability in causal dissipative hydrodynamics
• Boost invariant formulation of the chiral kinetic theory
• Fluctuation and Dissipation of Axial Charge from Massive Quarks
• Axial Charge Fluctuation and Chiral Magnetic Effect from Stochastic Hydrodynamics
• Simulating the Chiral Magnetic Wave in a Box System
• The Subtleties of the Wigner Function Formulation of the Chiral Magnetic Effect
• Impact of longitudinal bulk viscous effects to heavy quark transport in a strongly magnetized hot QCD medium
• Non-Equilibrium Quantum Transport of Chiral Fluids from Kinetic Theory
• The QED Radiative Corrections to Chiral Magnetic Effect
• Chiral magnetic response to arbitrary axial imbalance
• Simulating chiral anomalies with spin dynamics
• Anomalous magnetohydrodynamics with constant anisotropic electric conductivities
• Negative Off-Diagonal Conductivities in a Weakly Coupled Quark Gluon Plasma
• Chiral Magnetic Effect in a Lattice Model

Cited by in corpus (26)

• Relativistic Spin Magnetohydrodynamics
• Hot QCD Phase Diagram From Holographic Einstein-Maxwell-Dilaton Models
• Theories of Relativistic Dissipative Fluid Dynamics
• New developments in relativistic magnetohydrodynamics
• Relativistic non-resistive viscous magnetohydrodynamics from the kinetic theory:a relaxation time approach
• General-relativistic hydrodynamics of non-perfect fluids: 3+1 conservative formulation and application to viscous black-hole accretion
• Stability studies of first order spin-hydrodynamic frameworks
• Modeling general-relativistic plasmas with collisionless moments and dissipative two-fluid magnetohydrodynamics
• Dissipative Magnetohydrodynamics for Non-Resistive Relativistic Plasmas
• A stable and causal model of magnetohydrodynamics
• Perturbative approaches in relativistic kinetic theory and the emergence of first-order hydrodynamics
• Anomalous magnetohydrodynamics with temperature-dependent electric conductivity and application to the global polarization
• Impact of vorticity and viscosity on the hydrodynamic evolution of hot QCD medium
• Causality Bounds on Dissipative General-Relativistic Magnetohydrodynamics
• Linearized dispersion relations in viscous relativistic hydrodynamics
• Linear stability analysis of Israel-Stewart theory in the case of a nonzero background charge
• Field redefinition and its impact in relativistic hydrodynamics
• Analytic solutions for the linearized first-order magnetohydrodynamics and implications for causality and stability
• Transport Coefficients of relativistic matter: A detailed formalism with a gross knowledge of their magnitude
• Anisotropic linear waves and breakdown of the momentum expansion in spin magnetohydrodynamics
• Relativistic resistive magnetohydrodynamics for a two-component plasma
• Order-by-order Anisotropic Transport Coefficients of a Magnetised Fluid: a Chapman-Enskog Approach
• Nonlinear analysis of causality for heat flow in heavy-ion collisions: constraints from equation of state
• Distinguishing gravity theories with networks of space-based gravitational-wave detectors
• Transient fluid dynamics with general matching conditions: a first study from the method of moments
• Magnetodynamic Characteristics and QGP Energy Dissipation in RMHD Framework with Relativistic Heavy-Ion Collisions