Abstract
Recent experiments by Meyeret al. on the onset of convection in a Rayleigh-Benard cell near the first convective instability can be described as being caused by random noise terms in the currents of heat and momentum, but the amplitude of these terms turns out to be about 105 times as large as would follow from standard fluctuating hydrodynamics.
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References
C. W. Meyer, G. Ahlers, and D. S. Cannell,Phys. Rev. Lett. 59:1577 (1987).
L. D. Landau and E. M. Lifshitz,Fluid Mechanics (Pergamon, New York, 1959).
G. Ahlers, M. C. Cross, P. C. Hohenberg, and S. Safran,J. Fluid Mech. 110:297 (1981).
H. van Beijeren and E. G. D. Cohen,Phys. Rev. Lett. 60:1208 (1988).
R. Schmitz and E. G. D. Cohen,J. Stat. Phys. 40:431 (1985).
M. Mareschal and E. Kestemont,J. Stat. Phys. 48:1187 (1987).
R. Schmitz and E. G. D. Cohen,J. Stat. Phys. 39:285 (1985).
T. R. Kirkpatrick and E. G. D. Cohen,J. Stat. Phys. 33:639 (1983).
J. B. Swift and P. C. Hohenberg,Phys. Rev. Lett. 60:75 (1988).
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van Beijeren, H., Cohen, E.G.D. The effects of thermal noise in a Rayleigh-Benard cell near its first convective instability. J Stat Phys 53, 77–94 (1988). https://doi.org/10.1007/BF01011546
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DOI: https://doi.org/10.1007/BF01011546