The onset of vortex turbulence
Abstract
It is the goal of this thesis to investigate some of the unusual and spectacular properties near the transition to turbulence in a two-dimensional field of limit-cycle oscillators. Of particular interest are the dynamics of topological defects (vortices) associated with the onset of turbulence. The complex Ginzburg-Landau equation describes an extended reaction-diffusion system close to the bifurcation of a steady state into a stable, periodic orbit. In the jargon of nonlinear dynamics, it is the amplitude equation corresponding to a Hopf bifurcation. Because of the generality of the assumptions under which it is derived, the complex Ginzburg-Landau equation describes systems in contexts other than chemical reactions with diffusion. Examples include Rayleigh-Benard convection and the phase fields of multimode lasers. The reaction-diffusion model is however, a sufficiently general model to frame our discussion.
- Authors:
-
- Boston Univ., MA (United States). Center for Polymer Studies Lawrence Berkeley Lab., CA (United States)
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE; USDOD; National Aeronautics and Space Administration (NASA); USDOE, Washington, DC (United States); Department of Defense, Washington, DC (United States); National Aeronautics and Space Administration, Washington, DC (United States)
- OSTI Identifier:
- 6648229
- Report Number(s):
- LBL-33517
ON: DE93010424
- DOE Contract Number:
- AC03-76SF00098
- Resource Type:
- Technical Report
- Resource Relation:
- Other Information: Thesis (Ph.D.)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; TURBULENCE; GINZBURG-LANDAU THEORY; VORTICES; DIFFUSION; NONLINEAR PROBLEMS; NUCLEATION; SERIES EXPANSION; 665000* - Physics of Condensed Matter- (1992-); 990200 - Mathematics & Computers
Citation Formats
Huber, G. The onset of vortex turbulence. United States: N. p., 1992.
Web. doi:10.2172/6648229.
Huber, G. The onset of vortex turbulence. United States. https://doi.org/10.2172/6648229
Huber, G. 1992.
"The onset of vortex turbulence". United States. https://doi.org/10.2172/6648229. https://www.osti.gov/servlets/purl/6648229.
@article{osti_6648229,
title = {The onset of vortex turbulence},
author = {Huber, G},
abstractNote = {It is the goal of this thesis to investigate some of the unusual and spectacular properties near the transition to turbulence in a two-dimensional field of limit-cycle oscillators. Of particular interest are the dynamics of topological defects (vortices) associated with the onset of turbulence. The complex Ginzburg-Landau equation describes an extended reaction-diffusion system close to the bifurcation of a steady state into a stable, periodic orbit. In the jargon of nonlinear dynamics, it is the amplitude equation corresponding to a Hopf bifurcation. Because of the generality of the assumptions under which it is derived, the complex Ginzburg-Landau equation describes systems in contexts other than chemical reactions with diffusion. Examples include Rayleigh-Benard convection and the phase fields of multimode lasers. The reaction-diffusion model is however, a sufficiently general model to frame our discussion.},
doi = {10.2172/6648229},
url = {https://www.osti.gov/biblio/6648229},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Tue Dec 01 00:00:00 EST 1992},
month = {Tue Dec 01 00:00:00 EST 1992}
}