Quasiperiodicity, mode-locking, and universal scaling in Rayleigh-Benard convection

Conference · Mon Jan 01 00:00:00 EST 1990

OSTI ID:6361369

Ecke, R E

This major review paper describes research on a model nonlinear dynamical system of small-aspect-ratio Rayleigh-Benard convection in {sup 3}He {minus} {sup 4}He mixtures. The nonlinear effects of mode locking and quasiperiodic behavior are described. Analysis techniques for characterizing the state of the dynamical system include Fourier transforms, Poincare sections, phase differences, transients, multifractal f({proportional to}) spectra and scaling function dynamics. Theoretical results such as the fractal staircase of mode-locked intervals and the Arnold tongues are reproduced in experimental data. New techniques for analyzing scaling dynamics are developed and discussed. This is a tutorial article that introduces the major important concepts in nonlinear dynamics and focuses on experimental problems and techniques. 77 refs.

• Research Organization: Los Alamos National Lab., NM (USA)
• Sponsoring Organization: DOE/ER
• DOE Contract Number: W-7405-ENG-36
• OSTI ID: 6361369
• Report Number(s): LA-UR-90-3376; CONF-900687-1; ON: DE91002312; TRN: 91-000037
• Resource Relation: Conference: NATO Advanced Study Institute on chaos, order and patterns, Como (Italy), 25 Jun - 6 Jul 1990
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
CONVECTION
NONLINEAR PROBLEMS
HELIUM 4
FRACTALS
HELIUM 3
PARTITION FUNCTIONS
PHASE SPACE
RANDOMNESS
SUPERFLUIDITY
THERMODYNAMICS
TRAJECTORIES
ENERGY TRANSFER
EVEN-EVEN NUCLEI
EVEN-ODD NUCLEI
FUNCTIONS
HEAT TRANSFER
HELIUM ISOTOPES
ISOTOPES
LIGHT NUCLEI
MASS TRANSFER
MATHEMATICAL SPACE
NUCLEI
SPACE
STABLE ISOTOPES
640410* - Fluid Physics- General Fluid Dynamics
640450 - Fluid Physics- Superfluidity
990200 - Mathematics & Computers