Current drive via magnetohydrodynamic helicity waves in a nonuniform plasma

Mett, Richard R.; Tataronis, John A.
October 1990
Physics of Fluids B: Plasma Physics;Oct90, Vol. 2 Issue 10, p2334
Academic Journal
Fundamentals of low-frequency current drive produced by a packet of arbitrarily polarized nonlinear Alfvén waves in an incompressible plasma with an inhomogeneous equilibrium magnetic field and aligned fluid velocity are explored. Analysis of the equations of magnetohydrodynamics with electrical conductivity and kinematic viscosity using an eikonal formulation yields coupled nonlinear equations for the Alfvén wave amplitude and an induced magnetic field and fluid velocity. Introduction of suitable variables allows simplification of the nonlinear system into a system of coupled linear integrodifferential equations. Particular solutions relate the plasma current to the helicity of the Alfvén wave. Two separate and distinct agents contribute to the current drive process: (1) wave dissipation, and (2) spatial inhomogeneity of the plasma medium. The plasma inhomogeneities cause a direct transfer of helicity from the applied Alfvén wave to the equilibrium magnetic field and are connected to the damping of a single component of the wave fluctuation due to phase mixing.


Related Articles

  • Absolute and convective instabilities of parallel propagating circularly polarized Alfvén waves: Decay instability. Ruderman, M. S.; Simpson, D. // Physics of Plasmas;Sep2004, Vol. 11 Issue 9, p4178 

    The absolute and convective instabilities of circularly polarized Alfvén waves propagating along an ambient magnetic field are studied. The approximation of ideal magnetohydrodynamics is used. The analysis is restricted to the decay instability that occurs when the sound speed is smaller than...

  • Generation of magnetoacoustic zonal flows by Alfvén waves in a rotating plasma. Mikhailovskii, A. B.; Lominadze, J. G.; Churikov, A. P.; Erokhin, N. N.; Tsypin, V. S.; Smolyakov, A. I.; Galvão, R. M. O. // Physics of Plasmas;Aug2007, Vol. 14 Issue 8, p082302 

    Analytical theory of nonlinear generation of magnetoacoustic zonal flows in a rotating plasma is developed. As the primary modes causing such a generation, a totality of the Alfvén waves are considered, along with the kinetic, inertial, and rotational. It is shown that in all these cases of...

  • Computer simulation of a magnetohydrodynamic dynamo. II. Kageyama, Akira; Sato, Tetsuya // Physics of Plasmas;May95, Vol. 2 Issue 5, p1421 

    Describes a computer simulation of a magnetohydrodynamic dynamo in a rapidly rotating spherical shell. Influence of resistivity on total magnetic energy and total kinetic energy of convection motion; Comparison of the two ways in which the magnetic field is organized.

  • Nonlinear hydromagnetic waves in a cylindrical current-carrying plasma. II. Exact helically symmetric solutions. Hamabata, Hiromitsu // Physics of Fluids B: Plasma Physics;Dec90, Vol. 2 Issue 12, p2995 

    Exact wave solutions of the nonlinear magnetohydrodynamic equations for a highly conducting incompressible fluid within an axisymmetric container are obtained for the case when the physical quantities are helically symmetric in cylindrical coordinates. The solutions represent the waves...

  • Alfvén wave heating of low-beta, nonaxisymmetric, toroidal plasmas. Tataronis, J. A.; Lewis, H. R. // Physics of Fluids (00319171);Jan86, Vol. 29 Issue 1, p167 

    Solutions of the Alfvén wave continuum equation for a pressureless, magnetohydrodynamic plasma in nonaxisymmetric, toroidal geometry are presented. The analysis is based on the Hamiltonian form of the continuum equation along lines of force of the equilibrium magnetic field. Canonical...

  • Comments on ‘‘A fluid theory of ion collection by probes in strong magnetic fields with plasma flow’’ [Phys. Fluids 30, 3777 (1987)]. Stangeby, P. C. // Physics of Fluids (00319171);Sep88, Vol. 31 Issue 9, p2726 

    In a recently published probe theory Hutchinson argues that the cross-field viscosity coefficient n⊥≊ρD⊥, where ρ is the mass density and D⊥ is the diffusion coefficient. This argument is questioned.

  • High β relaxed states with internal conductor plasma configuration. Iqbal, M.; Mirza, A. M.; Murtaza, G.; Yoshida, Z. // Physics of Plasmas;May2001, Vol. 8 Issue 5, p1559 

    In a two-fluid dissipationless plasma, strong coupling of magnetic field and flow velocity introduced by the Hall term leads to the equilibrium solution characterized by the “double curl Beltrami equation.” Internal conductor plasma configuration is investigated employing the double...

  • Tearing stability of the two-dimensional magnetotail. Harrold, B. G.; Battacharjee, A.; Xiaogang Wang // Physics of Plasmas;Oct95, Vol. 2 Issue 10, p3857 

    Demonstrates how the linearized incompressible magnetohydrodynamic equations that include a generalized Ohm's law are solved for tearing eigenmodes of a plasma sheet with a normal magnetic field. Calculation of growth rates using a generalized Ohm's law that includes collisional resistivity and...

  • Computer simulation of Alfvén wave heating. Geary, J. L.; Leboeuf, J.-N.; Tajima, T. // Physics of Fluids B: Plasma Physics;Apr90, Vol. 2 Issue 4, p773 

    A particle simulation study of shear Alfvén wave resonance heating is presented. A particle simulation model has been developed for this application that incorporates Darwin’s formulation of the electromagnetic fields with a guiding center approximation for electron motion...


Read the Article


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

Try another library?
Sign out of this library

Other Topics