Hamiltonian description of closed configurations of the vacuum magnetic field

Journal Article · Fri May 15 00:00:00 EDT 2015 · Plasma Physics Reports

DOI:https://doi.org/10.1134/S1063780X15050062· OSTI ID:22472339

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

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1. National Research Centre Kurchatov Institute (Russian Federation)

Methods of obtaining and using the Hamiltonians of closed vacuum magnetic configurations of fusion research systems are reviewed. Various approaches to calculate the flux functions determining the Hamiltonian are discussed. It is shown that the Hamiltonian description allows one not only to reproduce all traditional results, but also to study the behavior of magnetic field lines by using the theory of dynamic systems. The potentialities of the Hamiltonian formalism and its close relation to traditional methods are demonstrated using a large number of classical examples adopted from the fundamental works by A.I. Morozov, L.S. Solov’ev, and V.D. Shafranov.

• OSTI ID: 22472339
• Journal Information: Plasma Physics Reports, Vol. 41, Issue 5; Other Information: Copyright (c) 2015 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-780X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
CLOSED CONFIGURATIONS
EV RANGE
HAMILTONIANS
MAGNETIC FIELD CONFIGURATIONS
MAGNETIC FIELDS
REVIEWS