Open AccessHamiltonian 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