Hamiltonian Description of Convective-cell Generation | Zendy

J.A. Krommes and R.A. Kolesnikov | Zendy

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Hamiltonian Description of Convective-cell Generation

Author(s) -

J.A. Krommes and R.A. Kolesnikov

Publication year - 2004

Publication title -

osti oai (u.s. department of energy office of scientific and technical information)

Language(s) - English

Resource type - Reports

DOI - 10.2172/827672

Subject(s) - statistical physics , physics , nonlinear system , hamiltonian (control theory) , classical mechanics , theoretical physics , mathematics , quantum mechanics , mathematical optimization

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

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