Surface currents on ideal plasmas

Webster, Anthony J.
November 2010
Physics of Plasmas;Nov2010, Vol. 17 Issue 11, p110708
Academic Journal
The surface (or 'skin') current that can flow at a perturbed interface between plasma and vacuum is considered in the approximation where a surface marks a sharp transition from plasma to vacuum. A short magnetohydrodynamic calculation gives an exact and general expression for the component perpendicular to the average of the magnetic field either side of the surface, finding it proportional to the edge plasma pressure. A consequence is that for all plasmas with zero surface current at equilibrium, the surface current associated with any linear instability will flow parallel to the magnetic field. The surface current is calculated for a simple but realistic model of a cylindrical plasma, and found to depend on the type of instability, and consequently on the particular plasma equilibrium. This is illustrated for two well known cases.


Related Articles

  • Sufficient conditions for linear long-wave instability of steady-state axisymmetric flows of an ideal liquid with a free boundary in an azimuthal magnetic field. Gubarev, Yu. // Technical Physics;Mar2011, Vol. 56 Issue 3, p345 

    The problem of linear stability of steady-state axisymmetric shear jet flows of an inviscid ideally conducting incompressible liquid with a free surface and 'frozen-in' azimuthal magnetic field is analyzed. The sufficient conditions for theoretical (on semi-infinite time intervals) and practical...

  • Chiral Thermodynamics in a Magnetic Field. Agasian, N. O. // Physics of Atomic Nuclei;Mar2001, Vol. 64 Issue 3, p554 

    The phase structure of the QCD vacuum in a magnetic field H is investigated at low temperatures T. The free energy of the hadronic phase in a constant homogeneous magnetic field is calculated in the one-loop approximation of chiral perturbation theory. The quark and the gluon condensate are...

  • Marginal dimensions for multicritical phase transitions. Dudka, M.; Folk, R.; Holovatch, Yu.; Moser, G. // Condensed Matter Physics;2012, Vol. 15 Issue 4, p1 

    The field-theoreticalmodel describingmulticritical phenomena with two coupled order parameters with nǁ and n components and of O(nǁ)⊕O(n) symmetry is considered. Conditions for realization of different types of multicritical behaviour are studied within the field-theoretical...

  • Formulation of magnetically perturbed time-dependent density functional theory. Seth, Michael; Ziegler, Tom // Journal of Chemical Physics;10/7/2007, Vol. 127 Issue 13, p134108 

    A formulation of time-dependent density functional theory (TDDFT) in the presence of a static imaginary perturbation is derived. A perturbational approach is applied leading to corrections to various orders in the quantities of interest, namely, the excitation energies and transition densities....

  • Transition from order to chaos, and density limit, in magnetized plasmas. Carati, A.; Zuin, M.; Maiocchi, A.; Marino, M.; Martines, E.; Galgani, L. // Chaos;Sep2012, Vol. 22 Issue 3, p033124 

    It is known that a plasma in a magnetic field, conceived microscopically as a system of point charges, can exist in a magnetized state, and thus remain confined, inasmuch as it is in an ordered state of motion, with the charged particles performing gyrational motions transverse to the field....

  • The chiral phase transition and the role of vacuum fluctuations. Khan, Rashid; Kyllingstad, Lars T. // AIP Conference Proceedings;5/23/2011, Vol. 1343 Issue 1, p504 

    We investigate the chiral phase transition in the quark-meson effective model using optimised perturbation theory to one loop. Certain terms in the free energy are frequently omitted in calculations, on the assumption that their contribution is negligible. We show that this is not necessarily...

  • Rayleigh-Taylor instability in quantum magnetized viscous plasma. Hoshoudy, G. // Plasma Physics Reports;Sep2011, Vol. 37 Issue 9, p775 

    Quantum effects on Rayleigh-Taylor instability of stratified viscous plasmas layer under the influence of vertical magnetic field are investigated. By linearly solving the viscous QMHD equations into normal mode, a forth-order ordinary differential equation is obtained to describe the velocity...

  • Effect of toroidal magnetic field on n = 1 mode stability in rotamak plasmas. Yang, X.; Goss, J.; Kalaria, D.; Huang, T. S. // Physics of Plasmas;Aug2011, Vol. 18 Issue 8, p080708 

    To study the effect of toroidal magnetic field on n = 1 mode stability, a series of experiments with linearly ramping the axial current Iz, which makes field-reversed configuration (FRC) to spherical tokamak (ST) transition, have been conducted in rotamak. Results clearly demonstrate that the...

  • Three-dimensional instability of dust ion-acoustic solitary waves in a magnetized dusty plasma with two different types of nonisothermal electrons. Shalaby, M.; EL-Labany, S. K.; EL-Shamy, E. F.; Khaled, M. A. // Physics of Plasmas;Nov2010, Vol. 17 Issue 11, p113709 

    The nonlinear propagation of dust ion-acoustic solitary waves (DIASWs) in a magnetized dusty plasma which consists of two different types of nonisothermal electrons, hot adiabatic inertial ions fluid and immobile negatively charged dust particles is studied. The modified Zakharov-Kuznetsov (MZK)...


Read the Article


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

Try another library?
Sign out of this library

Other Topics