Hamiltonian Description of Convective-cell Generation

Krommes, J. A. ; Kolesnikov, R. A.

Princeton University. Plasma Physics Laboratory.

关键词: 99 General And Miscellaneous//Mathematics, Computing, And Information Science;    Nonlinear Problems Hamiltonian;    Electrostatics;    Scalars;    70 Plasma Physics And Fusion Technology;   

DOI  :  10.2172/827672
RP-ID  :  PPPL-3927
RP-ID  :  AC02-76CH03073
RP-ID  :  827672

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来源: UNT Digital Library

【 摘 要 】

The nonlinear statistical growth rate eq 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 eq 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.