# Pinch dynamics in a low-β plasma

@article{Moffatt2017PinchDI,
title={Pinch dynamics in a low-$\beta$ plasma},
author={H. K. Moffatt and Krzysztof A. Mizerski},
journal={Fluid Dynamics Research},
year={2017},
volume={50}
}
• Published 2 March 2017
• Physics
• Fluid Dynamics Research
The relaxation of a helical magnetic field B ( x , t ) in a high-conductivity plasma contained in the annulus between two perfectly conducting coaxial cylinders is considered. The plasma is of low density and its pressure is negligible compared with the magnetic pressure; the flow of the plasma is driven by the Lorentz force and energy is dissipated primarily by the viscosity of the medium. The axial and toroidal fluxes of magnetic field are conserved in the perfect-conductivity limit, as is…
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## References

SHOWING 1-10 OF 12 REFERENCES

### Magnetic relaxation and the Taylor conjecture

A one-dimensional model of magnetic relaxation in a pressureless low-resistivity plasma is considered. The initial two-component magnetic field $\boldsymbol{b}(\boldsymbol{x},t)$ is strongly

### MAGNETIC RELAXATION, CURRENT SHEETS, AND STRUCTURE FORMATION IN AN EXTREMELY TENUOUS FLUID MEDIUM

• Physics
• 2013
The process of relaxation of a unidirectional magnetic field in a highly conducting tenuous fluid medium is considered. Null points of the field play a critical role in this process. During an

### Large scale EMF in current sheets induced by tearing modes

An extension of the analysis of resistive instabilities of a sheet pinch from a famous work by Furth et al (1963 Phys. Fluids 6 459) is presented here, to study the mean electromotive force (EMF)

### Magnetostatic equilibria and analogous Euler flows of arbitrarily complex topology. Part 2. Stability considerations

The stability (i) of fully three-dimensional magnetostatic equilibria of arbitrarily complex topology, and (ii) of the analogous steady solutions of the Euler equations of incompressible inviscid

### Magnetostatic equilibria and analogous Euler flows of arbitrarily complex topology. Part 1. Fundamentals

The well-known analogy between the Euler equations for steady flow of an inviscid incompressible fluid and the equations of magnetostatic equilibrium in a perfectly conducting fluid is exploited in a

### Finite-Resistivity Instabilities of a Sheet Pinch

An algebraic but general procedure which is the direct application of semi-group representation is used to obtain the criteria for instabilities and a simple evaluation of their growth rates is

### Self-consistent dynamolike activity in turbulent plasmas.

• Physics, Medicine
Physical review letters
• 1986
Determination de la forme fonctionnelle du champ electrique moyen pour les fluctuations engendrees par les modes de dechirure et d'echange resistifs entrainent une inversion du champ toroidal.

### Advanced Mathematical Methods For Scientists And Engineers

• Mathematics
• 1978
This book gives a self-contained presentation of the methods of asymptotics and perturbation theory, methods useful for obtaining approximate analytical solutions to differential and difference

### The asymptotic Hopf invariant and its applications

The classical Hopf invariant distinguishes among the homotopy classes of continuous mappings from the three-sphere to the two-sphere and is equal to the linking number of the two curves that are the