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

Abstract

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}

Authors:
;  [1];  [2]; ;  [3];  [4]
  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)
Publication Date:
OSTI Identifier:
670220
Resource Type:
Journal Article
Journal Name:
Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Additional Journal Information:
Journal Volume: 58; Journal Issue: 6; Other Information: PBD: Dec 1998
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; CONVECTION; CONVECTIVE INSTABILITIES; TRANSITION FLOW; SCALING LAWS; SPIRAL CONFIGURATION; BIFURCATION; PROBABILITY

Citation Formats

Zoldi, S.M., Liu, J., Liu, J., Bajaj, K.M., Ahlers, G., and Greenside, H.S. Extensive scaling and nonuniformity of the Karhunen-Lo{grave e}ve decomposition for the spiral-defect chaos state. United States: N. p., 1998. Web. doi:10.1103/PhysRevE.58.R6903.
Zoldi, S.M., Liu, J., Liu, J., Bajaj, K.M., Ahlers, G., & Greenside, H.S. Extensive scaling and nonuniformity of the Karhunen-Lo{grave e}ve decomposition for the spiral-defect chaos state. United States. doi:10.1103/PhysRevE.58.R6903.
Zoldi, S.M., Liu, J., Liu, J., Bajaj, K.M., Ahlers, G., and Greenside, H.S. Tue . "Extensive scaling and nonuniformity of the Karhunen-Lo{grave e}ve decomposition for the spiral-defect chaos state". United States. doi:10.1103/PhysRevE.58.R6903.
@article{osti_670220,
title = {Extensive scaling and nonuniformity of the Karhunen-Lo{grave e}ve decomposition for the spiral-defect chaos state},
author = {Zoldi, S.M. and Liu, J. and Liu, J. and Bajaj, K.M. and Ahlers, G. and Greenside, H.S.},
abstractNote = {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}},
doi = {10.1103/PhysRevE.58.R6903},
journal = {Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},
number = 6,
volume = 58,
place = {United States},
year = {1998},
month = {12}
}