A bstract We provide a statistical mechanical derivation of relativistic magnetohydrodynamics on the basis (3 + 1)-dimensional quantum electrodynamics; system endowed with magnetic one-form symmetry. The conservation laws and constitutive relations are presented in manifestly covariant way respect to general coordinate transformation. method local Gibbs ensemble (or nonequilibrium operator) com...

A wave turbulence theory is developed for inertial electron magnetohydrodynamics (IEMHD) in the presence of a relatively strong and uniform external magnetic field $\boldsymbol {B_0} = B_0 \hat {\boldsymbol {e}}_\|$ . This regime relevant scales smaller than length $d_e$ We derive kinetic equations that describe three-wave interactions between whistler or Alfvén waves. show both invariants, ene...

Magnetohydrodynamics MHD concerns the motion of a conducting fluid in an electromagnetic field with a very wide range of applications. The dynamic motion of the fluids and the magnetic field strongly interact each other, and thus, both the hydrodynamic and electrodynamic effects have to be considered. The governing equations of the plane magnetohydrodynamic compressible flows have the following...

It is proved that irrespective of compressibility tokamak steady states with purely poloidal mass flow can not exist in the framework of either magnetohydrodynamics (MHD) or Hall MHD models. Non-existence persists within single fluid plasma models with pressure anisotropy and incompressible flows.

The quad-curl problem arises in the study of the electromagnetic interior transmission problem and magnetohydrodynamics (MHD). In this paper, we study the quad-curl eigenvalue problem and propose a mixed method using edge elements. Assuming stringent regularity of the solution of the quadcurl source problem, we prove the convergence and show that the divergencefree condition can be bypassed.