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Extensive scaling and nonuniformity of the Karhunen-Loe`ve decomposition for the spiral-defect chaos state
 

Summary: Extensive scaling and nonuniformity of the Karhunen-Loe`ve decomposition for the spiral-defect
chaos state
Scott M. Zoldi,1,
* Jun Liu,1,2
Kapil M. S. Bajaj,3
Henry S. Greenside,4
and Guenter Ahlers3
1
Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
2
Schlumberger ATE, M/S 930, 1601 Technology Drive San Jose, California 95110
3
Department of Physics and Center for Nonlinear Science, University of California at Santa Barbara, California 93106
4
Department of Physics and Center for Nonlinear and Complex Systems, Duke University, Durham, North Carolina 27708
Received 6 August 1998
By analyzing large-aspect-ratio spiral-defect chaos SDC convection images, we show that the Karhunen-
Loe`ve decomposition KLD scales extensively for subsystem sizes larger than 4d d is the fluid depth , which
strongly suggests that SDC is extensively chaotic. From this extensive scaling, the intensive length KLD is
computed and found to have a different dependence on the Rayleigh number than the two-point correlation

  

Source: Ahlers, Guenter - Department of Physics, University of California at Santa Barbara

 

Collections: Physics