Universality in quasiperiodic Rayleigh-Benard convection

Journal Article · Sun Dec 15 00:00:00 EST 1991 · Physical Review A. General Physics; (United States)

DOI:https://doi.org/10.1103/PhysRevA.44.8103· OSTI ID:5103408

Ecke, R E; Mainieri, R; Sullivan, T S ^[1]

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1. Physics Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)

We study universal scaling properties of quasiperiodic Rayleigh-Benard convection in a {sup 3}He--superfluid-{sup 4}He mixture. The critical line is located in a parameter space of Rayleigh and Prandtl numbers using a transient-Poincare-section technique to identify transitions from nodal periodic points to spiral periodic points within resonance horns. We measure the radial and angular contraction rates and extract the linear-stability eigenvalues (Flouquet multipliers) of the periodic point. At the crossings of the critical line with the lines of fixed golden-mean-tail winding number we determine the universality class of our experimental dynamics using {ital f}({alpha}) and trajectory-scaling-function analyses. A technique is used to obtain a robust five-scale approximation to the universal trajectory scaling function. Different methods of multifractal analysis are employed and an understanding of statistical and systematic errors in these procedures is developed. The power law of the inflection point of the map, determined for three golden-mean-tail winding numbers, is 2.9{plus minus}0.3, corresponding to the universality class of the sine-circle map.

• OSTI ID: 5103408
• Journal Information: Physical Review A. General Physics; (United States), Vol. 44:12; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
HELIUM 3
CONVECTION
HELIUM 4
BINARY MIXTURES
MAPPING
SCALING LAWS
DISPERSIONS
ENERGY TRANSFER
EVEN-EVEN NUCLEI
EVEN-ODD NUCLEI
HEAT TRANSFER
HELIUM ISOTOPES
ISOTOPES
LIGHT NUCLEI
MASS TRANSFER
MIXTURES
NUCLEI
STABLE ISOTOPES
665420* - Superfluidity- (1992-)