Extensive scaling and nonuniformity of the Karhunen-Lo{grave e}ve decomposition for the spiral-defect chaos state

Journal Article · Tue Dec 01 00:00:00 EST 1998 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.58.R6903· OSTI ID:670220

Zoldi, S M; Liu, J ^[1]; Liu, J ^[2]; Bajaj, K M; Ahlers, G ^[3]; Greenside, H S ^[4]

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1. Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
2. Schlumberger ATE, M/S 930, 1601 Technology Drive San Jose, California 95110 (United States)
3. Department of Physics and Center for Nonlinear Science, University of California at Santa Barbara, California 93106 (United States)
4. Department of Physics and Center for Nonlinear and Complex Systems, Duke University, Durham, North Carolina 27708 (United States)

By analyzing large-aspect-ratio spiral-defect chaos (SDC) convection images, we show that the Karhunen-Lo{grave e}ve decomposition (KLD) scales extensively for subsystem sizes larger than 4d ({ital d} is the fluid depth), which strongly suggests that SDC is extensively chaotic. From this extensive scaling, the intensive length {xi}{sub KLD} is computed and found to have a different dependence on the Rayleigh number than the two-point correlation length {xi}{sub 2}. Local computations of {xi}{sub KLD} reveal a spatial nonuniformity of SDC images that extends over radii 18d{lt}r{lt}45d in a {Gamma}=109 aspect-ratio cell. {copyright} {ital 1998} {ital The American Physical Society}

• OSTI ID: 670220
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 58, Issue 6; Other Information: PBD: Dec 1998
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CONVECTION
CONVECTIVE INSTABILITIES
TRANSITION FLOW
SCALING LAWS
SPIRAL CONFIGURATION
BIFURCATION
PROBABILITY