Two-parameter study of the quasiperiodic route to chaos in convecting sup 3 He--superfluid- sup 4 He mixtures

Journal Article · Mon Nov 20 00:00:00 EST 1989 · Physical Review Letters; (USA)

DOI:https://doi.org/10.1103/PhysRevLett.63.2357· OSTI ID:5019421

Mainieri, R ^[1]; Sullivan, T S; Ecke, R E ^[2]

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1. New York University, 14 Washington Place, New York, New York 10003 (USA)
2. Physics Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (USA)

We study the frequency lockings of two intrinsic hydrodynamic modes of a convecting {sup 3}He-superfluid-{sup 4}He mixture by independently varying the Rayleigh and Prandtl numbers. We establish points on the critical line in this parameter space using a transient technique to locate the spiral-node transition in the interior of three resonance horns. Universal scaling is demonstrated at winding numbers with golden mean tails by computing the {ital f}({alpha}) singularity spectrum.

• OSTI ID: 5019421
• Journal Information: Physical Review Letters; (USA), Vol. 63:21; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
HELIUM 3
CONVECTION
HELIUM 4
HYDRODYNAMICS
INSTABILITY
MIXTURES
MODE LOCKING
PRANDTL NUMBER
RESONANCE
SCALING LAWS
SUPERFLUIDITY
ULTRALOW TEMPERATURE
DISPERSIONS
ENERGY TRANSFER
EVEN-EVEN NUCLEI
EVEN-ODD NUCLEI
FLUID MECHANICS
HEAT TRANSFER
HELIUM ISOTOPES
ISOTOPES
LIGHT NUCLEI
MASS TRANSFER
MECHANICS
NUCLEI
STABLE ISOTOPES
640450* - Fluid Physics- Superfluidity