The relationship between flux coordinates and equilibrium-based frames of reference in fusion theory

@article{Kruger2019TheRB,
  title={The relationship between flux coordinates and equilibrium-based frames of reference in fusion theory},
  author={S. E. Kruger and John Morton Greene},
  journal={Physics of Plasmas},
  year={2019}
}
The properties of two local reference frames based on the magnetic field and the current density are investigated for magnetized plasmas in toroidal geometry with symmetric angle. The magnetic field-based local frame of reference has been well-studied for example by Dewar and colleagues [Phys. Fluids 27, 1723 (1984)] An analogous frame based on the current density vector is possible because it is also divergence free and perpendicular to the gradient of the poloidal flux. The concept of… 
3 Citations

Tables from this paper

Snell Law for an Electromagnetic Pulse Travelling over a Torus Surface and Scattered by a Flat

We apply a new tool that is the Maxwell-Fredholm equations, to study the collision of an electromagnetic pulse with a flat surface of separation between the two parts of a torus-shaped artefact with

Some mathematics for quasi-symmetry

Quasi-symmetry of a steady magnetic field means integrability of first-order guiding-centre motion. Here we derive many restrictions on the possibilities for a quasi-symmetry. We also derive an

An electromagnetic pulse over a torus, a particularization of Snell´s law

We apply a new tool that is the Maxwell-Fredholm equations, to study the collision of an electromagnetic pulse with a flat surface of separation between the two parts of a torus-shaped artefact with

References

SHOWING 1-10 OF 32 REFERENCES

Hydromagnetic equilibria and their proper coordinates

Proper coordinate systems are constructed in hydromagnetic equilibria and their properties are studied. First, the contra-gradient components of magnetic field and of current density are surface

The direct criterion of Newcomb for the ideal MHD stability of an axisymmetric toroidal plasma

A method is presented for determining the ideal magnetohydrodynamic stability of an axisymmetric toroidal plasma, based on a toroidal generalization of the method developed by Newcomb for

Generalized reduced magnetohydrodynamic equations

A new derivation of reduced magnetohydrodynamic (MHD) equations is presented. A multiple-time-scale expansion is employed. It has the advantage of clearly separating the three time scales of the

Steepest‐descent moment method for three‐dimensional magnetohydrodynamic equilibria

An energy principle is used to obtain the solution of the magnetohydrodynamic (MHD) equilibrium equation J×B−∇p=0 for nested magnetic flux surfaces that are expressed in the inverse coordinate

The second region of stability against ballooning modes

A new type of axisymmetric magnetohydrodynamic equilibrium is presented. It is characterized by a region of pressure and safety factor variation with a short scale length imposed as a perturbation.

Magnetic coordinates for equilibria with a continuous symmetry

Magnetic coordinates for hydromagnetic equilibria are defined which treat toroidal and ‘‘straight’’ helical plasmas equivalently and yet exploit the existence of a continuous symmetry to derive

A new form of the magnetohydrodynamic potential energy

In this Letter a useful and instructive form of the magnetohydrodynamic potential energy is presented. In this form all but one term is positive definite, each term is self‐adjoint, and it can be

Resistive instabilities in a diffuse linear pinch

The effects of small electrical resistivity, viscosity, and thermal conductivity on hydromagnetic instabilities for diffuse linear pinch configurations are considered. For finite-pressure systems,