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Title: Lyapunov stability of flowing magnetohydrodynamic plasmas surrounded by resistive walls

Abstract

A general stability condition for plasma-vacuum systems with resistive walls is derived by using the Frieman Rotenberg Lagrangian stability formulation [Rev. Mod. Phys. 32, 898 (1960)]. It is shown that the Lyapunov stability limit for external modes does not depend upon the gyroscopic term but upon the sign of the perturbed potential energy only. In the absence of dissipation in the plasma such as viscosity, it is expected that the flow cannot stabilize the system.

Authors:
 [1];  [2]
  1. Max-Planck-Institut fuer Plasmaphysik, Euratom Association, 85748 Garching (Germany)
  2. Association Euratom-Hellenic Republic, Department of Physics, University of Ioannina, GR 451 10 Ioannina (Greece)
Publication Date:
OSTI Identifier:
22046861
Resource Type:
Journal Article
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 18; Journal Issue: 7; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-664X
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; LAGRANGIAN FUNCTION; LYAPUNOV METHOD; MAGNETOHYDRODYNAMICS; PLASMA; PLASMA INSTABILITY; POTENTIAL ENERGY; VACUUM SYSTEMS; VISCOSITY; WALL EFFECTS

Citation Formats

Tasso, H., and Throumoulopoulos, G. N. Lyapunov stability of flowing magnetohydrodynamic plasmas surrounded by resistive walls. United States: N. p., 2011. Web. doi:10.1063/1.3606470.
Tasso, H., & Throumoulopoulos, G. N. Lyapunov stability of flowing magnetohydrodynamic plasmas surrounded by resistive walls. United States. doi:10.1063/1.3606470.
Tasso, H., and Throumoulopoulos, G. N. Fri . "Lyapunov stability of flowing magnetohydrodynamic plasmas surrounded by resistive walls". United States. doi:10.1063/1.3606470.
@article{osti_22046861,
title = {Lyapunov stability of flowing magnetohydrodynamic plasmas surrounded by resistive walls},
author = {Tasso, H. and Throumoulopoulos, G. N.},
abstractNote = {A general stability condition for plasma-vacuum systems with resistive walls is derived by using the Frieman Rotenberg Lagrangian stability formulation [Rev. Mod. Phys. 32, 898 (1960)]. It is shown that the Lyapunov stability limit for external modes does not depend upon the gyroscopic term but upon the sign of the perturbed potential energy only. In the absence of dissipation in the plasma such as viscosity, it is expected that the flow cannot stabilize the system.},
doi = {10.1063/1.3606470},
journal = {Physics of Plasmas},
issn = {1070-664X},
number = 7,
volume = 18,
place = {United States},
year = {2011},
month = {7}
}