Nonlinear Sciences – Chaotic Dynamics
Scientific paper
1996-05-01
Nonlinear Sciences
Chaotic Dynamics
RevTex 38 pages with 13 figures. Due to their large size, some figures are stored as separate gif images. The paper with inclu
Scientific paper
We present a study of the recently discovered spatially-extended chaotic state known as spiral-defect chaos, which occurs in low-Prandtl-number, large-aspect-ratio Rayleigh-Benard convection. We employ the modulus squared of the space-time Fourier transform of time series of two-dimensional shadowgraph images to construct the structure factor ${S}({\vec k},\omega )$. This analysis is used to characterize the average spatial and temporal scales of the chaotic state. We find that the correlation length and time can be described by power-law dependences on the reduced Rayleigh number ${\epsilon}$. These power laws have as yet no theoretical explanation.
Ahlers Guenter
Bodenschatz Eberhard
Cannell David S.
Morris Stephen W.
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