Publication

Topologic study of a magnetic perturbation in a 3D free boundary plasma equilibrium

Wilfred Anthony Cooper, Olivier Fischer
1998
Journal Articles

Abstract

We have investigated the topological modification of an equilibrium with nested magnetic flux surfaces computed with the free boundary variational moments equilibrium code (VMEC) subject to an applied magnetic field perturbation. Magnetic field lines are traced in the domain interior to the plasma-vacuum interface either in the coordinates of the VMEC (s, u, v) or using canonical coordinates (psi, theta*, v) that allow a Hamiltonian description of the magnetic field lines. The perturbation models the effect of the magnetic Bur leakage from the saturated iron core of the JET device. Island formation around resonant surfaces near the boundary is observed, but these islands do not overlap. The Chirikov parameters and the Liapunov exponents are specifically calculated to verify this.

Official source

https://infoscience.epfl.ch/entities/publication/182b79dd-6e59-4c88-a0f1-2e6d6124f8e5

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Wilfred Anthony Cooper, Olivier Fischer
1998
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/182b79dd-6e59-4c88-a0f1-2e6d6124f8e5

About this result

Related concepts (32)

Magnetic field

A magnetic field is a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials. A moving charge in a magnetic field experiences a force perpendicular to its own velocity and to the magnetic field. A permanent magnet's magnetic field pulls on ferromagnetic materials such as iron, and attracts or repels other magnets.

Thermodynamic equilibrium

Thermodynamic equilibrium is an axiomatic concept of thermodynamics. It is an internal state of a single thermodynamic system, or a relation between several thermodynamic systems connected by more or less permeable or impermeable walls. In thermodynamic equilibrium, there are no net macroscopic flows of matter nor of energy within a system or between systems. In a system that is in its own state of internal thermodynamic equilibrium, no macroscopic change occurs.

Canonical coordinates

In mathematics and classical mechanics, canonical coordinates are sets of coordinates on phase space which can be used to describe a physical system at any given point in time. Canonical coordinates are used in the Hamiltonian formulation of classical mechanics. A closely related concept also appears in quantum mechanics; see the Stone–von Neumann theorem and canonical commutation relations for details.

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Topologic study of a magnetic perturbation in a 3D free boundary plasma equilibrium

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