Generalized relativistic second order magnetohydrodynamics: A correlation function approach using Zubarev's nonequilibrium statistical operator

Abstract

We use total energy-momentum conservation and the Bianchi identity (magnetic-flux conservation) to construct second-order relativistic magnetohydrodynamics in a Zubarev's non-equilibrium statistical operator (NESO) framework. We obtain all dissipative tensors in the medium by focusing on a relativistic magnetized plasma that preserves parity and is symmetric to charge-conjugation. We also provide Kubo formulas for all transport coefficients that arise at second order. Moreover, we extend the NESO formalism to systematically take into account for nonlocal contributions.

44 pages

References in corpus (41)

• Generalized Global Symmetries
• Collective flow and viscosity in relativistic heavy-ion collisions
• New Forms of QCD Matter Discovered at RHIC
• Hydrodynamic Modeling of Heavy-Ion Collisions
• Binary neutron-star mergers: a review of Einstein's richest laboratory
• Why does the Quark-Gluon Plasma at RHIC behave as a nearly ideal fluid ?
• Event-by-event fluctuations in perturbative QCD + saturation + hydro model: pinning down QCD matter shear viscosity in ultrarelativistic heavy-ion collisions
• Relativistic Viscous Fluid Dynamics and Non-Equilibrium Entropy
• Relativistic Magnetohydrodynamics In Dynamical Spacetimes: Numerical Methods And Tests
• Generalized global symmetries and dissipative magnetohydrodynamics
• Relativistic magnetohydrodynamics
• Kubo formulas for relativistic fluids in strong magnetic fields
• Relativistic hydrodynamics in heavy-ion collisions: general aspects and recent developments
• Non-resistive dissipative magnetohydrodynamics from the Boltzmann equation in the 14-moment approximation
• Resistive dissipative magnetohydrodynamics from the Boltzmann-Vlasov equation
• Electromagnetic field and the chiral magnetic effect in the quark-gluon plasma
• Hydrodynamic approach to two-dimensional electron systems
• Relativistic hydrodynamics from quantum field theory on the basis of the generalized Gibbs ensemble method
• Magnetohydrodynamics as superfluidity
• Relativistic Spin Magnetohydrodynamics
• New developments in relativistic magnetohydrodynamics
• Relativistic non-resistive viscous magnetohydrodynamics from the kinetic theory:a relaxation time approach
• Anomalous magnetohydrodynamics with longitudinal boost invariance and chiral magnetic effect
• One-form superfluids and magnetohydrodynamics
• Relativistic Lattice Boltzmann Methods: Theory and Applications
• Relativistic resistive dissipative magnetohydrodynamics from the relaxation time approximation
• A stable and causal model of magnetohydrodynamics
• Chiral Magnetic Effect in Heavy Ion Collisions: The Present and Future
• Charge diffusion in relativistic resistive second-order dissipative magnetohydrodynamics
• Evolution of magnetic fields from the 3+1 dimensional self-similar and Gubser flows in ideal relativistic magnetohydrodynamics
• Resummed hydrodynamic expansion for a plasma of particles interacting with fields
• Thermomagnetic properties and Debye Screening for magnetized quark-gluon Plasma using the extended self-consistent quasiparticle model
• Revisiting relativistic magnetohydrodynamics from quantum electrodynamics
• Gapless non-hydrodynamic modes in relativistic kinetic theory
• Relativistic Dissipative Magnetohydrodynamics from the Boltzmann equation for a two-component gas
• Revisiting shear stress tensor evolution: Non-resistive magnetohydrodynamics with momentum-dependent relaxation time
• Relativistic second-order spin hydrodynamics: A Kubo-type formulation for the quark-gluon plasma
• Analytic solutions for the linearized first-order magnetohydrodynamics and implications for causality and stability
• Second-order spin hydrodynamics from Zubarev's nonequilibrium statistical operator formalism
• Generalized relativistic second-order dissipative hydrodynamics: coupling different rank tensors
• First-order spin magnetohydrodynamics