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Title: Hamiltonian Description of Convective-cell Generation

Abstract

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.

Authors:
Publication Date:
Research Org.:
Princeton Plasma Physics Laboratory, Princeton, NJ (US)
Sponsoring Org.:
USDOE Office of Science (SC) (US)
OSTI Identifier:
827672
Report Number(s):
PPPL-3927
TRN: US0403630
DOE Contract Number:  
AC02-76CH03073
Resource Type:
Technical Report
Resource Relation:
Other Information: PBD: 11 Mar 2004
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; ELECTROSTATICS; FUNCTIONALS; HAMILTONIANS; ION TEMPERATURE; PARTIAL DIFFERENTIAL EQUATIONS; SCALARS; TURBULENCE; NONLINEAR PROBLEMS; HAMILTONIAN; NONLINEAR THEORIES

Citation Formats

J.A. Krommes and R.A. Kolesnikov. Hamiltonian Description of Convective-cell Generation. United States: N. p., 2004. Web. doi:10.2172/827672.
J.A. Krommes and R.A. Kolesnikov. Hamiltonian Description of Convective-cell Generation. United States. https://doi.org/10.2172/827672
J.A. Krommes and R.A. Kolesnikov. 2004. "Hamiltonian Description of Convective-cell Generation". United States. https://doi.org/10.2172/827672. https://www.osti.gov/servlets/purl/827672.
@article{osti_827672,
title = {Hamiltonian Description of Convective-cell Generation},
author = {J.A. Krommes and R.A. Kolesnikov},
abstractNote = {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.},
doi = {10.2172/827672},
url = {https://www.osti.gov/biblio/827672}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Thu Mar 11 00:00:00 EST 2004},
month = {Thu Mar 11 00:00:00 EST 2004}
}