Bifurcation analysis and nonlinear self-sustainment of drift turbulence
Conference
·
OSTI ID:489459
- Princeton Univ., NJ (United States)
Several conceptual and technical issues in the theory of nonlinear self-sustainment of turbulent transport are discussed. The possibility that linearly stable macroscopic profiles can nevertheless sustain turbulence and carry a significant turbulent flux is linked to the existence of subcritical bifurcations of the nonlinear dynamics. This issue is explored in the context of simple models. An introduction to bifurcation theory is presented. Then, as an example, the details of the bifurcation analysis of Drake`s recent reduced model of nonlinear instability are described. Attention is paid to the role of dissipation in the model. A variety of {open_quotes}unfoldings{close_quotes} of the bifurcation in terms of dissipation parameters are classified, and their relationship to the behavior near the point of bifurcation is explained. The relevance of the results to the behavior and interpretation of computer simulations and experimental data is discussed.
- DOE Contract Number:
- AC02-76CH03073
- OSTI ID:
- 489459
- Report Number(s):
- CONF-960354--
- Country of Publication:
- United States
- Language:
- English
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