Stochasticity reduction

A method for finding integrable Hamiltonian systems with one and a half degrees of freedom is introduced and applied to the problem of finding vacuum magnetic fields with rotational transform and a dense set of toroidal flux surfaces. In this method, the fixed points of the return map must be locate...

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Bibliographic Details
Published in:The Physics of fluids (1958) 1986-08, Vol.29 (8), p.2464-2473
Main Authors: Cary, John R., Hanson, James D.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Magnetic confinement and equilibrium
Physics
Physics of gases, plasmas and electric discharges
Physics of plasmas and electric discharges
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Summary:A method for finding integrable Hamiltonian systems with one and a half degrees of freedom is introduced and applied to the problem of finding vacuum magnetic fields with rotational transform and a dense set of toroidal flux surfaces. In this method, the fixed points of the return map must be located, and the values of the corresponding residues calculated. The residues, being indicators of stochasticity, are systematically reduced by variation of the parameters of the system. Application of this method to the problem of finding integrable magnetic fields shows that it is practical, and it yields substantial improvement of the configuration. In particular, this method can result in an increase of the simple equilibrium‐β estimate, ι2ε, by a factor of 2 or more.
ISSN:0031-9171
2163-4998
DOI:10.1063/1.865539