Extensive scaling and nonuniformity of the Karhunen-Loève decomposition for the spiral-defect chaos state
By analyzing large-aspect-ratio spiral-defect chaos (SDC) convection images, we show that the Karhunen-Loève decomposition (KLD) scales extensively for subsystem sizes larger than [Formula Presented] (d is the fluid depth), which strongly suggests that SDC is extensively chaotic. From this extensive scaling, the intensive length [Formula Presented] is computed and found to have a different dependence on the Rayleigh number than the two-point correlation length [Formula Presented] Local computations of [Formula Presented] reveal a spatial nonuniformity of SDC images that extends over radii [Formula Presented] in a [Formula Presented] aspect-ratio cell. © 1998 The American Physical Society.
Zoldi, SM; Liu, J; Bajaj, KMS; Greenside, HS; Ahlers, G
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