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Title: 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:
 [1]
  1. 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}
}