Role of the mean curvature in the geometry of magnetic confinement configurations

Journal Article · Wed Sep 15 00:00:00 EDT 2010 · Plasma Physics Reports

DOI:https://doi.org/10.1134/S1063780X10090096· OSTI ID:21443456

Skovoroda, A A ^[1]; Taimanov, I A ^[2]

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1. Russian Research Centre Kurchatov Institute (Russian Federation)
2. Russian Academy of Sciences, Sobolev Institute of Mathematics, Siberian Branch (Russian Federation)

Examples are presented of how the geometric notion of the mean curvature is applied to the vector of a general magnetic field and to magnetic surfaces. It is shown that the mean curvature is related to the variation of the absolute value of the magnetic field along its lines. Magnetic surfaces of constant mean curvature are optimum for plasma confinement in multimirror open confinement systems and rippled tori.

• OSTI ID: 21443456
• Journal Information: Plasma Physics Reports, Vol. 36, Issue 9; Other Information: DOI: 10.1134/S1063780X10090096; Copyright (c) 2010 Pleiades Publishing, Ltd.; ISSN 1063-780X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
CONFIGURATION
GEOMETRY
MAGNETIC CONFINEMENT
MAGNETIC FIELDS
MAGNETIC SURFACES
CONFINEMENT
MAGNETIC FIELD CONFIGURATIONS
MATHEMATICS
PLASMA CONFINEMENT