Lyapunov stability of flowing magnetohydrodynamic plasmas surrounded by resistive walls

Tasso, H.; Throumoulopoulos, G. N.
July 2011
Physics of Plasmas;Jul2011, Vol. 18 Issue 7, p070702
Academic Journal
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.


Related Articles

  • MHD stability condition of an anisotropic-pressure plasma in axially symmetric confinement systems formed by a poloidal field. Arsenin, V.; Terekhin, P. // Plasma Physics Reports;Nov2008, Vol. 34 Issue 11, p895 

    A set of integrodifferential (over the longitudinal coordinate) equations for the transverse components of the plasma displacement minimizing the Kruskal-Oberman functional of the potential energy of MHD perturbations is derived. The stability condition corresponds to the absence of negative...

  • Current sheets at three-dimensional magnetic nulls: Effect of compressibility. Pontin, D. I.; Bhattacharjee, A.; Galsgaard, K. // Physics of Plasmas;May2007, Vol. 14 Issue 5, p052109 

    The nature of current sheet formation in the vicinity of three-dimensional (3D) magnetic null points is investigated. The particular focus is upon the effect of the compressibility of the plasma on the qualitative and quantitative properties of the current sheet. An initially potential 3D null...

  • Lyapunov stability analysis of magnetohydrodynamic plasma equilibria with axisymmetric toroidal flow. Almaguer, Juan Antonio; Hameiri, Eliezer; Herrera, Julio; Holm, Darryl D. // Physics of Fluids (00319171);Jul88, Vol. 31 Issue 7, p1930 

    Lyapunov stability conditions for ideal magnetohydrodynamic (MHD) plasmas with mass flow in axisymmetric toroidal geometry are determined in the Eulerian representation. Axisymmetric equilibrium solutions of ideal MHD are associated to critical points of a nonlinearly conserved Lyapunov...

  • Alfvén Wave Spectrum in a Transversely Inhomogeneous Plasma with Dissipation. Churilov, S. M. // Plasma Physics Reports;May2003, Vol. 29 Issue 5, p391 

    The spectrum of Alfvén eigenmodes in a transversely inhomogeneous plasma with Ohmic dissipation is studied in the one-fluid MHD approximation. It is established that, along with a discrete spectrum of the modes confined to the plasma boundaries or the extremes of the Alfvén velocity, there...

  • Two dimensional nonplanar evolution of electrostatic shock waves in pair-ion plasmas. Masood, W.; Rizvi, H. // Physics of Plasmas;Jan2012, Vol. 19 Issue 1, p012119 

    Electrostatic waves in a two dimensional nonplanar geometry are studied in an unmagnetized, dissipative pair-ion plasma in the presence of weak transverse perturbations. The dissipation in the system is taken into account by incorporating the kinematic viscosity of both positive and negative...

  • Conformity between linear response and binary collision treatments of an ion energy loss in a magnetized quantum plasma. Nersisyan, H. B.; Zwicknagel, G.; Toepffer, C. // European Physical Journal D -- Atoms, Molecules, Clusters & Opti;Feb2004, Vol. 28 Issue 2, p235 

    In this paper the energy loss of a heavy ion moving in a magnetized quantum electron plasma is considered within the linear response and binary collision treatments. Treating the electron-ion interaction force as a small perturbation to the electron nth Landau level we show within the second...

  • Hall magnetohydrodynamics: Conservation laws and Lyapunov stability. Holm, Darryl D. // Physics of Fluids (00319171);May87, Vol. 30 Issue 5, p1310 

    Hall electric fields produce circulating mass flow in confined ideal-fluid plasmas. The conservation laws, Hamiltonian structure, equilibrium state relations, and Lyapunov stability conditions are presented here for ideal Hall magnetohydrodynamics (HMHD) in two and three dimensions. The approach...

  • No additional flow continua in magnetohydrodynamics. Goedbloed, J. P.; Beliën, A. J. C.; Holst, B. Van Der; Keppens, R. // Physics of Plasmas;Sep2004, Vol. 11 Issue 9, p4332 

    The classical continuous spectrum of fluid flow found by C.M. Case [Phys. Fluids 3, 143 (1960) ] is contained in the Alfvén and slow continua of magnetohydrodynamics (MHD). Contrary to several statements in the literature, most recently by S.N. Bhattacharyya and A. Bhattacharjee [Phys....

  • Scalings of steady state Hall magnetohydrodynamic reconnection in high-beta plasmas. Xiaogang Wang; Hong-Ang Yang; Shu-Ping Jin // Physics of Plasmas;Jun2006, Vol. 13 Issue 6, p060702 

    Scalings of Hall magnetohydrodynamics reconnection in high-β plasmas has been studied in steady states. It again confirms previous temporal evolution reconnection results that while the width of the reconnection layer is scaled by ωA/Ωci=di/Lc, where ωA is the Alfvén frequency,...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics