Alfven Wave Structure and Resonant Dissipation in Cylindrical Stability and Heating Problems

摘要

For / omega / approximately equal to epsilonsup(1/3)tausub(A)sup(-1), we obtain the general solution of the resistive differential equation for the radial M.H.D. displacement in cylindrical geometry, under the assumption of incompressibility. Here: omega is the wave frequency, Tausub(A) = r sub 0 Vsub(Atheta)sup(-1), r = r sub 0 is the surface at which q(r) = 1, Vsub(Atheta) = Btheta sub 0 / sqrt 4 pi rho(r sub 0 dq sub 0 /dr) (subscript zero indicates evaluation at r sub 0 ), epsilon = tausub(A) tausub(R)sup(-1) and tausub(R) is the resistive diffusion time. By using a flux function, we write the expression of the electromagnetic field and current density in the resistive layer. Finally, we discuss power dissipated in this layer by an external wave and the limit when the resistivity vanishes. (Atomindex citation 12:586708)