Hamilton flow generated by field lines near a toroidal magnetic surface

Journal Article · Mon Jul 15 00:00:00 EDT 2013 · Journal of Experimental and Theoretical Physics

DOI:https://doi.org/10.1134/S1063776113060228· OSTI ID:22210572

Skovoroda, A. A., E-mail: [e-mail] ^[1]

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1. National Research Center Kurchatov Institute (Russian Federation)

A method is described for obtaining the Hamiltonian of a vacuum magnetic field in a given 3D toroidal magnetic surface (superconducting shell). This method is used to derive the expression for the integrable surface Hamiltonian in the form of the expansion of a rotational transform of field lines on embedded near-boundary magnetic surfaces into a Taylor series in the distance from the boundary. This expansion contains the value of the rotational transform and its shear at the boundary surface. It is shown that these quantities are related to the components of the first and second quadratic forms of the boundary surface.

• OSTI ID: 22210572
• Journal Information: Journal of Experimental and Theoretical Physics, Vol. 117, Issue 1; Other Information: Copyright (c) 2013 Pleiades Publishing, Ltd.; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7761
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DISTANCE
HAMILTONIANS
INTEGRAL CALCULUS
MAGNETIC FIELDS
MAGNETIC SURFACES
ROTATIONAL TRANSFORM
SURFACES
THREE-DIMENSIONAL CALCULATIONS