TY - JOUR
T1 - Convection at finite Rayleigh numbers in large-aspect-ratio containers
AU - Newell, A. C.
AU - Passot, T.
AU - Souli, M.
PY - 1990
Y1 - 1990
N2 - The phase diffusion and mean drift equations which describe the behavior of a convection pattern are derived, a step which is essential for obtaining quantitative comparisons between theory and experiment. The theory recovers the boundaries of the Busse Balloon, agrees closely with the dominant wave numbers observed by Heutmaker and Gollub [Phys. Rev. A 35, 242 (1987)] and Steinberg, Ahlers, and Cannell [Phys. Sci. 30, 534 (1985)] in natural and target patterns, predicts a new instability which is important in facilitating wave-number adjustment in circular target patterns and in initiating time dependence, and predicts the Rayleigh numbers at which loss of spatial correlation due to global defect nucleation will occur.
AB - The phase diffusion and mean drift equations which describe the behavior of a convection pattern are derived, a step which is essential for obtaining quantitative comparisons between theory and experiment. The theory recovers the boundaries of the Busse Balloon, agrees closely with the dominant wave numbers observed by Heutmaker and Gollub [Phys. Rev. A 35, 242 (1987)] and Steinberg, Ahlers, and Cannell [Phys. Sci. 30, 534 (1985)] in natural and target patterns, predicts a new instability which is important in facilitating wave-number adjustment in circular target patterns and in initiating time dependence, and predicts the Rayleigh numbers at which loss of spatial correlation due to global defect nucleation will occur.
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U2 - 10.1103/PhysRevLett.64.2378
DO - 10.1103/PhysRevLett.64.2378
M3 - Article
AN - SCOPUS:4243339909
SN - 0031-9007
VL - 64
SP - 2378
EP - 2381
JO - Physical review letters
JF - Physical review letters
IS - 20
ER -