Nonperiodic time dependence at the onset of convection in a binary liquid mixture.

We report measurements of the convective heat transport near the onset of convection in a normal /sup 3/He-/sup 3/He mixture for values of the separation ratio psi between -0.044 and -0.010. For psiapprox. <-0.018, the first bifurcation was to a relatively large-amplitude time-dependent state with characteristic frequencies over an order of magnitude smaller than predicted by linear-stability analysis. The onset of the time dependence was intermittent and not hysteretic. Above onset, the frequency spectrum of the time dependence either contained discrete frequencies or not, depending on psi.

[1]  H. Moon,et al.  Three-Frequency Motion and Chaos in the Ginzburg-Landau Equation , 1982 .

[2]  P. Coullet,et al.  Large scale instability of nonlinear standing waves , 1985 .

[3]  R. Heinrichs,et al.  Convection in a binary mixture , 1987 .

[4]  Brand,et al.  Exact solution of the linear-stability problem for the onset of convection in binary fluid mixtures. , 1987, Physical review. A, General physics.

[5]  R. Heinrichs,et al.  Traveling waves and spatial variation in the convection of a binary mixture , 1987 .

[6]  D. Gutkowicz–Krusin,et al.  Rayleigh–Bénard instability in nonreactive binary fluids. II. Results , 1979 .

[7]  D. Gutkowicz–Krusin,et al.  Rayleigh–Bénard instability in nonreactive binary fluids. I. Theory , 1979 .

[8]  Convection in a binary mixture heated from below. , 1986, Physical review letters.

[9]  Hopf bifurcation to convection near the codimension-two point in a 3He-4He mixture. , 1988, Physical review letters.

[10]  L. M. Hocking,et al.  A nonlinear instability burst in plane parallel flow , 1972, Journal of Fluid Mechanics.

[11]  Moses,et al.  Multistability and confined traveling-wave patterns in a convecting binary mixture. , 1987, Physical review. A, General physics.

[12]  R. Deissler.  Noise-sustained structure, intermittency, and the Ginzburg-Landau equation , 1985 .

[13]  Walden,et al.  Traveling waves and chaos in convection in binary fluid mixtures. , 1985, Physical review letters.

[14]  P. Lucas,et al.  Benard instability measurements in 3He4He mixtures near their lambda temperatures , 1979 .

[15]  P. Lucas,et al.  Onset of Rayleigh-Bénard convection in binary liquid mixtures of 3He in 4He , 1983, Journal of Fluid Mechanics.

[16]  Anomalous period-doubling bifurcations leading to chemical turbulence , 1982 .

[17]  E. Jakeman,et al.  Soret-driven thermosolutal convection , 1971, Journal of Fluid Mechanics.

[18]  P. Hohenberg,et al.  Codimension-2 bifurcations for convection in binary fluid mixtures , 1984 .

[19]  Cross,et al.  Traveling and standing waves in binary-fluid convection in finite geometries. , 1986, Physical Review Letters.

[20]  Tachibana,et al.  Erratum: Excitation of the 1s5 and 1s4 levels of neon by low-energy electrons , 1988, Physical review. A, General physics.

[21]  R. Deissler.  Spatially growing waves, intermittency, and convective chaos in an open-flow system , 1987 .

[22]  A. Newell,et al.  Benjamin-Feir turbulence in convective binary fluid mixtures , 1986 .

[23]  Rehberg,et al.  Experimental observation of a codimension-two bifurcation in a binary fluid mixture. , 1985, Physical review letters.

[24]  Knobloch,et al.  Oscillatory convection in binary mixtures. , 1986, Physical review. A, General physics.

[25]  R. Deissler.  Turbulent bursts, spots and slugs in a generalized Ginzburg-Landau equation , 1987 .

[26]  L. Keefe,et al.  Dynamics of Perturbed Wavetrain Solutions to the Ginzburg‐Landau Equation , 1985 .