Anisotropic linear waves and breakdown of the momentum expansion in spin magnetohydrodynamics

Abstract

We formulate spin magnetohydrodynamics (MHD) by including the magnetic-flux and total angular momentum conservation laws in the hydrodynamic framework. To specify the local angular momentum conservation, we choose the totally antisymmetric spin current. The entropy-current analysis allows for ten dissipative first-order transport coefficients including anisotropic spin relaxation rates and the conversion rate between a vorticity (shear) to a symmetric stress (antisymmetric torque), as well as anisotropic viscosities and resistivities. By employing the linear-mode analysis, we solve the first-order spin MHD equations to determine the dispersion relations with the complete information of anisotropy retained. Our analytic solutions indicate that the small-momentum expansion is spoiled by blow up of the higher-order terms when the angle between the momentum and the magnetic field approaches the right angle. This also reveals the existence of another expansion parameter, and, in light of it, we provide solutions in an alternative series expression beyond the critical angle. We confirm that these two series expansions work well in the appropriate angle ranges as compared with numerical results. Building on our findings regarding the breakdown of the small-momentum expansion in first-order theory, we proceed to discussing how these first-order solutions are modified when we include the relaxation dynamics for dissipative modes with the Israel-Stewart framework. We find that, due to the presence of the critical behavior in the first-order solutions, there remains a diffusive window even after the relaxation dynamics is introduced.

arXiv comment18 pages, 4 figures. Analyses of IS extension added in Sec.IV.D

References in corpus (89)

• The Chiral Magnetic Effect
• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• Global $\Lambda$ hyperon polarization in nuclear collisions: evidence for the most vortical fluid
• Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
• Parity violation in hot QCD: why it can happen, and how to look for it
• Globally Polarized Quark-gluon Plasma in Non-central A+A Collisions
• Angular momentum conservation in heavy ion collisions at very high energy
• Chiral Magnetic Wave
• Possibility of spontaneous parity violation in hot QCD
• Global polarization of $\Lambda$ hyperons in Au+Au collisions at $\sqrt{s_{{}_{NN}}}$ = 200 GeV
• Global hyperon polarization at local thermodynamic equilibrium with vorticity, magnetic field and feed-down
• Spin Alignment of Vector Mesons in Non-central A+A Collisions
• Causality and existence of solutions of relativistic viscous fluid dynamics with gravity
• Relativistic fluid dynamics with spin
• Study of Lambda polarization in relativistic nuclear collisions at sqrt{s}_NN = 7.7-200 GeV
• Polarization of $\Lambda$ ($\bar{\Lambda }$) hyperons along the beam direction in Au+Au collisions at $\sqrt{s_{{}_{NN}}}$ = 200 GeV
• Polarization probes of vorticity in heavy ion collisions
• Global quark polarization in non-central $A+A$ collisions
• Nonlinear causality of general first-order relativistic viscous hydrodynamics
• Shear-induced spin polarization in heavy-ion collisions
• Fate of spin polarization in a relativistic fluid: An entropy-current analysis
• Polarization of massive fermions in a vortical fluid
• Local polarization and isothermal local equilibrium in relativistic heavy ion collisions
• Generalized global symmetries and dissipative magnetohydrodynamics
• Generating spin polarization from vorticity through nonlocal collisions
• Spin-thermal shear coupling in a relativistic fluid
• Novel quantum phenomena induced by strong magnetic fields in heavy-ion collisions
• Relativistic magnetohydrodynamics
• Stability and Causality in relativistic dissipative hydrodynamics
• Spin tensor and its role in non-equilibrium thermodynamics
• Spin Hydrodynamics and Symmetric Energy-Momentum Tensors -- A current induced by the spin vorticity --
• Hydrodynamics of spin currents
• Spin polarization induced by the hydrodynamic gradients
• Non-dissipative second-order transport, spin, and pseudo-gauge transformations in hydrodynamics
• The ideal relativistic fluid limit for a medium with polarization
• Global polarization of $\Xi$ and $\Omega$ hyperons in Au+Au collisions at $\sqrt{s_{{}_{NN}}}$ = 200 GeV
• Dissipative Spin Dynamics in Relativistic Matter
• The ideal relativistic rotating gas as a perfect fluid with spin
• Chiral Magnetic Effect Task Force Report
• Local spin polarization in high energy heavy ion collisions
• Bjorken flow in one-dimensional relativistic magnetohydrodynamics with magnetization
• Relativistic second-order dissipative spin hydrodynamics from the method of moments
• From Kadanoff--Baym to Boltzmann equations for massive spin-1/2 fermions
• Effective quantum kinetic theory for spin transport of fermions with collsional effects
• A hydrodynamic study of hyperon spin polarization in relativistic heavy ion collisions
• Non-resistive dissipative magnetohydrodynamics from the Boltzmann equation in the 14-moment approximation
• Resistive dissipative magnetohydrodynamics from the Boltzmann-Vlasov equation
• Linear response theory of relativistic hydrodynamics with spin
• Relativistic Spin Magnetohydrodynamics
• Hydrodynamics of simply spinning black holes & hydrodynamics for spinning quantum fluids
• Measurement of the J/$\psi$ polarization with respect to the event plane in Pb-Pb collisions at the LHC
• New developments in relativistic magnetohydrodynamics
• Relativistic first-order spin hydrodynamics via the Chapman-Enskog expansion
• Holographic spin liquids and Lovelock Chern-Simons gravity
• MagnetoHydrodynamics with chiral anomaly: phases of collective excitations and instabilities
• Spin alignment of vector mesons by glasma fields
• Rigorous bounds on transport from causality
• Nonequilibrium Thermodynamical Inequivalence of Quantum Stress-energy and Spin Tensors
• Bounds on transport from hydrodynamic stability
• Local Equilibrium Spin Distribution From Detailed Balance
• Gyrohydrodynamics: Relativistic spinful fluid with strong vorticity
• Spin Polarization Formula for Dirac Fermions at Local Equilibrium
• Relativistic resistive dissipative magnetohydrodynamics from the relaxation time approximation
• Spin relaxation rate for heavy quarks in weakly coupled QCD plasma
• Stability studies of first order spin-hydrodynamic frameworks
• Kubo formulae for first-order spin hydrodynamics
• $\Lambda /\bar{\Lambda }$ Polarization and Splitting Induced by Rotation and Magnetic Field
• Causality and stability in relativistic viscous non-resistive magneto-fluid dynamics
• The causality and stability of relativistic spin-hydrodynamics
• A stable and causal model of magnetohydrodynamics
• Damping of spin waves
• Relativistic hydrodynamics with spin in the presence of electromagnetic fields
• Shear induced polarization: Collisional contributions
• Spin polarization and correlation of quarks from glasma
• Spin alignment measurement of vector mesons produced in high energy collisions
• The Hydrohedron: Bootstrapping Relativistic Hydrodynamics
• Linear mode analysis from spin transport equation
• Resummed spin hydrodynamics from quantum kinetic theory
• Towards Holographic Spintronics
• Anomalous magnetohydrodynamics with temperature-dependent electric conductivity and application to the global polarization
• Spin polarization induced by magnetic field and the relativistic Barnett effect
• Directed flow in relativistic resistive magneto-hydrodynamic expansion for symmetric and asymmetric collision systems
• Relativistic resistive magneto-hydrodynamics code for high-energy heavy-ion collisions
• The linear mode analysis and spin relaxation
• Cross effects in spin hydrodynamics: A revisit Entropy analysis and statistical operator
• Revisiting relativistic magnetohydrodynamics from quantum electrodynamics
• Collisional corrections to spin polarization from quantum kinetic theory using Chapman-Enskog expansion
• Charge-dependent anisotropic flow in high-energy heavy-ion collisions from relativistic resistive magneto-hydrodynamic expansion
• Analytic solutions for the linearized first-order magnetohydrodynamics and implications for causality and stability

Cited by in corpus (2)

• Physics of strong electromagnetic fields in relativistic heavy-ion collisions
• Guiding center hydrodynamics with spin