PPPL-3514 is available in <a href="PPPL-3514.pdf">pdf</a> or 
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<b>Generation of Plasma Rotation in a Tokamak by Ion-Cyclotron Absorption of Fast Alfv&#233;n Waves</b>
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Authors: F.W. Perkins, R.B. White, P.T. Bonoli, and V.S. Chan
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<b>Date of PPPL Report:</b> November 2000
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<b>Presented at:</b> the 18th International Atomic Energy Agency's (IAEA) Fusion Energy Conference 2000 (FEC-2000) held in Sorrento, Italy, October 4-10, 2000. An unedited proceedings will be published by IAEA in electronic format (CD-ROM) only.
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A mechanism is proposed and evaluated for driving rotation in tokamak plasmas by minority ion-cyclotron heating, even though this process introduces negligible angular momentum. The mechanism has two elements: First, angular momentum transport is governed by a diffusion equation with a non-slip boundary condition at the sepatratrix. Second, Monte-Carlo calculations show that energized particles will provide a torque density source which has a zero volume integral but separated positive and negative regions. With such a source, a solution of the diffusion equation predicts the on-axis rotation frequency <font face ="symbol">W</font> to be <font face ="symbol">W</font> = (4q <sub>max</sub> W J * ) (eBR<sup>3</sup>a<sup>2</sup>n<sub>e</sub>(2<font face ="symbol">p</font>)<sup>2</sup>)<sup>-1</sup>(<font face="symbol">t</font>M/<font face="symbol">tE</font>) where | J * |  approximatelty equal to 5-10 is a nondimensional rotation frequency calculated by the Monte-Carlo ORBIT code. Overall, agreement with experiment is good, when the resonance is on the low-field-side of the magnetic axis. The rotation becomes more counter-current and reverses sign on the high field side for a no-slip boundary. The velocity shear layer position is controllable and of sufficient magnitude to affect microinstabilities.

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