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Title: On the Helical MHD Mode in a Finite-Conductivity Tokamak Plasma

Abstract

A helical MHD perturbation in a finite-conductivity tokamak plasma has been considered in the straight-cylinder model in a situation where there is no resonance surface q = m/n in plasma. The radial eigenfunction of the helical mode, in addition to the large-scale component described at σ{sub ||}→ ∞ by the ideal MHD equation, contains a small-scale component localized near the wall and near discontinuities in the radial profiles of the unperturbed quantities. At smooth profiles, the small-scale component is attached to the wall and is smaller in magnitude than the large-scale component. Therefore, beyond a thin near-wall plasma layer, the mode is close to the large-scale ideal MHD mode. The presence of the small-scale component is necessary to satisfy the boundary conditions for the perturbed field on the wall.

Authors:
 [1]
  1. National Research Center Kurchatov Institute (Russian Federation)
Publication Date:
OSTI Identifier:
22763210
Resource Type:
Journal Article
Journal Name:
Plasma Physics Reports
Additional Journal Information:
Journal Volume: 44; Journal Issue: 10; Other Information: Copyright (c) 2018 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-780X
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; EIGENFUNCTIONS; MAGNETOHYDRODYNAMICS; PLASMA; TOKAMAK DEVICES

Citation Formats

Arsenin, V. V., E-mail: Arsenin-VV@nrcki.ru. On the Helical MHD Mode in a Finite-Conductivity Tokamak Plasma. United States: N. p., 2018. Web. doi:10.1134/S1063780X1810001X.
Arsenin, V. V., E-mail: Arsenin-VV@nrcki.ru. On the Helical MHD Mode in a Finite-Conductivity Tokamak Plasma. United States. doi:10.1134/S1063780X1810001X.
Arsenin, V. V., E-mail: Arsenin-VV@nrcki.ru. Mon . "On the Helical MHD Mode in a Finite-Conductivity Tokamak Plasma". United States. doi:10.1134/S1063780X1810001X.
@article{osti_22763210,
title = {On the Helical MHD Mode in a Finite-Conductivity Tokamak Plasma},
author = {Arsenin, V. V., E-mail: Arsenin-VV@nrcki.ru},
abstractNote = {A helical MHD perturbation in a finite-conductivity tokamak plasma has been considered in the straight-cylinder model in a situation where there is no resonance surface q = m/n in plasma. The radial eigenfunction of the helical mode, in addition to the large-scale component described at σ{sub ||}→ ∞ by the ideal MHD equation, contains a small-scale component localized near the wall and near discontinuities in the radial profiles of the unperturbed quantities. At smooth profiles, the small-scale component is attached to the wall and is smaller in magnitude than the large-scale component. Therefore, beyond a thin near-wall plasma layer, the mode is close to the large-scale ideal MHD mode. The presence of the small-scale component is necessary to satisfy the boundary conditions for the perturbed field on the wall.},
doi = {10.1134/S1063780X1810001X},
journal = {Plasma Physics Reports},
issn = {1063-780X},
number = 10,
volume = 44,
place = {United States},
year = {2018},
month = {10}
}