PPPL-3927 is available in <a href="PPPL-3927.pdf">pdf</a> format (832 KB).

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<b>Hamiltonian Description of Convective-cell Generation</b>
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<b>Authors:</b> J.A. Krommes and R.A. Kolesnikov
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<b>Date of PPPL Report:</b> March 2004
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<b>Published in</b>: Physics of Plasmas <b>11</b>:6 (June 2004) L29-L32
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The nonlinear statistical growth rate &lambda;<sub>q</sub> for convective cells driven by drift-wave (DW) interactions is studied with the aid of a covariant Hamiltonian formalism for the gyrofluid nonlinearities. A statistical energy theorem is proven that relates &#955;</font><sub>q</sub> to a second functional tensor derivative of the DW energy. This generalizes to a wide class of systems of coupled partial differential equations a previous result for scalar dynamics. Applications to (i) electrostatic ion-temperature-gradient-driven modes at small ion temperature, and (ii) weakly electromagnetic collisional DW's are noted.




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