Nonlinear Magnetohydrodynamics

Nonlinear Magnetohydrodynamics from Gravity

We apply the recently established connection between nonlinear fluid dynamics and AdS gravity to the case of the dyonic black brane in AdS4. This yields the equations of fluid dynamics for a 2 + 1 dimensional charged fluid in a background magnetic field. We construct the gravity solution to second order in the derivative expansion. From this we find the fluid dynamical stress tensor and charge ...

Nonlinear QED Effects in Strong-Field Magnetohydrodynamics

We examine wave propagation and the formation of shocks in strongly magnetized plasmas by applying a variational technique and the method of characteristics to the coupled magnetohydrodynamic (MHD) and quantum-electrodynamic (QED) equations of motion. In sufficiently strong magnetic fields such as those found near neutron stars, not only is the plasma extremely relativistic but the effects of Q...

Nonlinear electron magnetohydrodynamics physics. III. Electron energization

Wave-particle interactions of low-frequency whistler modes with wave magnetic fields exceeding the ambient field are investigated experimentally. These highly nonlinear modes are excited with magnetic loop antennas in a large magnetized afterglow plasma. While the nonlinear wave properties are described elsewhere, the present paper focuses on the modification of the electron distribution functi...

Fully Implicit, Nonlinear 3D Extended Magnetohydrodynamics

Nonlinear extended magnetohydrodynamics simulation using high-order finite elements

Peak performance for magnetically confined fusion plasmas occurs near thresholds of instability for macroscopic modes that distort and possibly disrupt equilibrium conditions. In some cases, however, the best approach is to exceed stability thresholds and rely upon nonlinear saturation effects. Understanding this behaviour is essential for achieving ignition in future burning plasma experiments...