Theory of sheared flow generation by applied radio frequency waves

Computer Science

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Plasma Heating By Particle Beams, Tokamaks, Spherical Tokamaks, Electromagnetic Waves

Scientific paper

The possibility of employing rf to generate sheared flows in the edge plasma is of great interest as a means of accessing improved regimes of tokamak confinement. Here, we develop an electromagnetic nonlinear eikonal theory (with k⊥ρ~1 and k/k unrestricted) of the rf force terms which drive poloidal flow. Various cancellations, e.g., amongst parts of the electromagnetic and Reynolds stress terms, are exhibited analytically. At the heart of our calculation is the derivation of the nonlinear kinetic pressure tensor Π. A general expression for Π is obtained in terms of simple moments of the linear distribution function. In the electrostatic limit, the resulting nonlinear forces are expressible entirely in terms of the linear dielectric susceptibility tensor χ. Application to the ion Bernstein wave case, with retention of all Bessel function sums, is presented. Comparison is made to simpler approximate calculations.

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