Relativistic Dissipative Magnetohydrodynamics from the Boltzmann equation for a two-component gas

Abstract

We derive the equations of motion of relativistic magnetohydrodynamics, as well as microscopic expressions for all of its transport coefficients, from the Boltzmann equation using the method of moments. In contrast to reference Phys. Rev. D 98(7) 2018, where a single component gas was considered, we perform our derivation for a locally neutral fluid composed of two massless particle species with opposite charges. We demonstrate that the magnetohydrodynamical equations of motion become dramatically different for this more realistic system. The shear-stress tensor no longer obeys a single differential equation; it breaks into three non-degenerate components with respect to the magnetic field, each evolving according to different dynamical equations. For large magnetic fields, we further show that the solution of this theory displays oscillatory behaviour that can no longer be described by an Israel-Stewart-like theory. Finally, we investigate the derived equations in a Bjorken flow scenario.

18 pages, 12 figures

References in corpus (12)

• Cosmology with inhomogeneous magnetic fields
• Novel quantum phenomena induced by strong magnetic fields in heavy-ion collisions
• Electrical Conductivity of Quark-Gluon Plasma in Strong Magnetic Fields
• Resistive dissipative magnetohydrodynamics from the Boltzmann-Vlasov equation
• Bulk Viscosity of Quark-Gluon Plasma in Strong Magnetic Fields
• A systematic study of magnetic field in Relativistic Heavy-ion Collisions in the RHIC and LHC energy regions
• Theories of Relativistic Dissipative Fluid Dynamics
• New developments in relativistic magnetohydrodynamics
• Relativistic non-resistive viscous magnetohydrodynamics from the kinetic theory:a relaxation time approach
• Relativistic resistive dissipative magnetohydrodynamics from the relaxation time approximation
• A stable and causal model of magnetohydrodynamics
• Charge diffusion in relativistic resistive second-order dissipative magnetohydrodynamics

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• On the Wiedemann-Franz law violation in Graphene and quark-gluon plasma systems
• Possibility of quantum Hall effect in dense quark matter environments: A chiral model approach