Elimination of hysteresis in a system of coupled Ginzburg-Landau equations

Journal Article · Thu Nov 30 23:00:00 EST 1989 · Physical Review (Section) A: General Physics; (USA)

DOI:https://doi.org/10.1103/PhysRevA.40.6748· OSTI ID:7017488

Sullivan, T S ^[1]; Deissler, R J ^[2]

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1. Center for Nonlinear Studies, Mail Stop B258, Los Alamos, National Laboratory, Los Alamos, NM (USA) Physics Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (USA)
2. Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (USA)

We numerically study the effect of a stabilizing quintic term and a destabilizing cubic term in the coupled Ginzburg-Landau equations that describe the onset of traveling-wave convection in binary fluid mixtures. We present bifurcation diagrams which show that for large enough group velocity and coupling between the counter-propagating traveling waves, the expected hysteresis at onset is not present. We also show how a measure of the convected heat transport and its period vary with scaled Rayleigh number. While this model can explain certain features of recent experiments, a number of difficult issues remain.

• OSTI ID: 7017488
• Journal Information: Physical Review (Section) A: General Physics; (USA), Journal Name: Physical Review (Section) A: General Physics; (USA) Vol. 40:11; ISSN PLRAA; ISSN 0556-2791
• Country of Publication: United States
• Language: English

Related Subjects

640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BINARY MIXTURES
CONVECTION
COUPLING
DISPERSIONS
ENERGY TRANSFER
FLUIDS
GINZBURG-LANDAU THEORY
HEAT TRANSFER
MASS TRANSFER
MIXTURES
TRAVELLING WAVES