Local approximation for contour dynamics in effectively two-dimensional ideal electron-magnetohydrodynamic flows
V. P. Ruban, S. L. Senchenko
Abstract
The evolution of piecewise constant distributions of a conserved quantity related to the frozen-in canonical vorticity in effectively two-dimensional incompressible ideal EMHD flows is analytically investigated by the Hamiltonian method. The study includes the case of axisymmetric flows with zero azimuthal velocity component and also the case of flows with the helical symmetry of vortex lines. For sufficiently large size of such a patch of the conserved quantity, a local approximation in the dynamics of the patch boundary is suggested, based on the possibility to represent the total energy as the sum of area and boundary terms. Only the boundary energy produces deformation of the shape with time. Stationary moving configurations are described.
Create a lesson
Related papers
Experimental setup for testing nanocalorimeter sensors as a plasma diagnostics tool
Carles Corbella, Feng Yi, Andrei Kolmakov
Gradient-Based Construction of Collisionless Steady-State Guiding-Center Distributions in Tokamaks and Stellarators
Jingyi Yu, Chang Liu
Indirect-Drive Fusion Target Design for Commercial Fusion Energy
C. R. Weber, A. L. Kritcher, S. Bhandarkar et al.
Efficient laser ion acceleration in near-critical density plasmas in the picosecond pulse regime
Joshua Luoma, Andreas Kemp, Andrew Longman et al.
Helicon wave propagation, plasma generation and interaction with low-frequency waves in toroidal magnetic configurations
Simon P. H. Vincent, Mounir Alfazzaa, Patrick Quigley et al.
Kilojoule-scale laser acceleration enabling efficient generation of electron-positron and muon beams
R. Babjak, M. Pouyez, C. Badiali et al.