Extensive scaling and nonuniformity of the Karhunen-Loève decomposition for the spiral-defect chaos state
Publication
, Journal Article
Zoldi, SM; Liu, J; Bajaj, KMS; Greenside, HS; Ahlers, G
Published in: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
January 1, 1998
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.
Duke Scholars
Published In
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
DOI
ISSN
1063-651X
Publication Date
January 1, 1998
Volume
58
Issue
6
Start / End Page
R6903 / R6906
Citation
APA
Chicago
ICMJE
MLA
NLM
Zoldi, S. M., Liu, J., Bajaj, K. M. S., Greenside, H. S., & Ahlers, G. (1998). Extensive scaling and nonuniformity of the Karhunen-Loève decomposition for the spiral-defect chaos state. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 58(6), R6903–R6906. https://doi.org/10.1103/PhysRevE.58.R6903
Zoldi, S. M., J. Liu, K. M. S. Bajaj, H. S. Greenside, and G. Ahlers. “Extensive scaling and nonuniformity of the Karhunen-Loève decomposition for the spiral-defect chaos state.” Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 58, no. 6 (January 1, 1998): R6903–6. https://doi.org/10.1103/PhysRevE.58.R6903.
Zoldi SM, Liu J, Bajaj KMS, Greenside HS, Ahlers G. Extensive scaling and nonuniformity of the Karhunen-Loève decomposition for the spiral-defect chaos state. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 1998 Jan 1;58(6):R6903–6.
Zoldi, S. M., et al. “Extensive scaling and nonuniformity of the Karhunen-Loève decomposition for the spiral-defect chaos state.” Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 58, no. 6, Jan. 1998, pp. R6903–06. Scopus, doi:10.1103/PhysRevE.58.R6903.
Zoldi SM, Liu J, Bajaj KMS, Greenside HS, Ahlers G. Extensive scaling and nonuniformity of the Karhunen-Loève decomposition for the spiral-defect chaos state. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 1998 Jan 1;58(6):R6903–R6906.
Published In
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
DOI
ISSN
1063-651X
Publication Date
January 1, 1998
Volume
58
Issue
6
Start / End Page
R6903 / R6906