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• W1997095914 abstract "The steady-state and dynamic properties of the transition to oscillatory convection in a low-Prandtl-number fluid, dilute $^{3}mathrm{He}$ in superfluid $^{4}mathrm{He}$, are presented. Critical slowing down is observed and characterized by a phenomenological Landau-Hopf equation in analogy with equilibrium mean-field critical phenomena. In contrast to the onset of classical time-independent Rayleigh-B'enard convection, where appreciable rounding is typically observed, there is no measurable rounding at the oscillatory onset down to a reduced Rayleigh number of 3ifmmodetimeselsetexttimesfi{}${10}^{mathrm{ensuremath{-}}4}$. Possible reasons for this are discussed. Different functional singularities are observed for the rms amplitudes of the fundamental and first harmonic spectral components of the oscillation. Finally, the Prandtl-number dependence of the parameters of the dynamics is presented." @default.
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• W1997095914 date "1986-03-01" @default.
• W1997095914 modified "2023-09-27" @default.
• W1997095914 title "Critical dynamics at a Hopf bifurcation to oscillatory Rayleigh-Bénard convection" @default.
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• W1997095914 doi "https://doi.org/10.1103/physreva.33.1870" @default.
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