Mechanisms of extensive spatiotemporal chaos in Rayleigh-Benard convection

Nature

Volumn 404, Issue 6779, 2000, Pages 733-736

  Egolf, David A ^a,b   Melnlkov, Ilarion V ^a,c   Pesch, Werner ^d   Ecke, Robert E ^a,b  

^a CENTER FOR NONLINEAR STUDIES   (United States)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

^c DUKE UNIVERSITY   (United States)

^d UNIVERSITY OF BAYREUTH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CHAOTIC DYNAMICS; ERYTHROCYTE; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; PRIORITY JOURNAL; TEMPERATURE SENSITIVITY; THERMODYNAMICS;

EID: 0034643334     PISSN: 00280836     EISSN: None     Source Type: Journal    
DOI: 10.1038/35008013     Document Type: Article

References (24)

1. Cross, M. C. & Hohenberg, P. C. Pattern-formation outside of equilibrium. Rev. Mod. Phys. 65, 851-1112 (1993).
2. Cross, M. C. & Hohenberg, P. C Spatiotemporal chaos. Science 263, 1569-1570 (1994).
3. Eckmann, J.-P. & Ruelle, D. Ergodic-theory of chaos and strange attractors. Rev. Mod. Phys. 57, 617-656 (1985).
4. Gollub, J. P. Order and disorder in fluid motion. Proc. Natl Acad. Sci. USA 92, 6705-6711 (1995).
5. Bodenschatz, E., Pesch, W. & Ahlers, G. Recent developments in Rayleigh-Bénard convection. Annu. Rev. Fluid Mech. 32, 709-778 (2000).
6. Ruelle, D. Large volume limit of the distribution of characteristic exponents in turbulence. Commun. Math. Phys. 87, 287-302 (1982).
7. Manneville, P. Liapunov Exponents for the Kuramoto-Sivashinsky Model Vol. 280, 319-326 (Lecture Notes in Physics, Springer, Berlin, 1994).
8. Egolf, D. A. & Greenside, H. S. Relation between fractal dimension and spatial correlation length for extensive chaos. Nature 369, 129-131 (1994).
9. Morris, S. W., Bodenschatz, E., Cannell, D. S. & Ahlers, G. Spiral defect chaos in large aspect ratio Rayleigh-Bénard convection. Phys. Rev. Lett. 71, 2026-2029 (1993).
10. de Bruyn, J. et al. Apparatus for the study of Rayleigh-Bénard convection in gases under pressure. Rev. Sci. Instrum. 67, 2043-2067 (1996).
11. Decker, W. Pesch, W. & Weber, A. Spiral defect chaos in Rayleigh-Bénard convection. Phys. Rev. Lett. 73, 648-651 (1994).
12. Morris, S. W., Bodenschatz, E., Cannell, D. S. & Ahlers, G. The spatiotemporal structure of spiral-defect chaos. Physica D 97, 164-179 (1996).
13. Hu, Y., Ecke, R. E. & Ahlers, G. Transition to spiral-defect chaos in low Prandtl number convection. Phys. Rev. Lett. 74, 391-394 (1995).
14. Hu, Y., Ecke, R. E. & Ahlers, G. Convection for Prandtl numbers near 1: Dynamics of textured patterns. Phys. Rev. E 51, 3263-3279 (1995).
15. Egolf, D. A., Melnikov, I. V. & Bodenschatz, E. Importance of local pattern properties in spiral defect chaos. Phys. Rev. Lett. 80, 3228-3231 (1998).
16. Ecke, R. E., Hu, Y., Mainieri, R. & Ahlers, G. Excitation of spirals and chiral-symmetry breaking in Rayleigh Bénard convection. Science 269, 1704-1707 (1995).
17. Assenheimer, M. & Steinberg, V. Transition between spiral and target states in Rayleigh-Bénard convection. Nature 367, 345-347 (1994).
18. Cross, M. C. & Tu, Y. Defect dynamics for spiral chaos in Rayleigh-Bénard convection. Phys. Rev. Lett. 75, 834-837 (1995).
19. Plapp, B. B., Egolf, D. A., Bodenschatz, E. & Pesch, W. Dynamics and selection of giant spirals in Rayleigh-Bénard convection. Phys. Rev. Lett. 81, 5334-5337 (1998).
20. Cakmur, R. V., Egolf, D. A., Plapp, B. B. & Bodenschatz, E. Bistability and competition of spatiotemporal chaotic and fixed point attractors in Rayleigh-Bénard convection. Phys. Rev. Lett. 79, 1853-1856 (1997).
21. Zoldi, S. M., Liu, J., Bajaj, K. M. S., Greenside, H. S. & Ahlers, G. Extensive scaling and nonuniformity of the Karhunen-Loeve decomposition for the spiral-defect chaos state. Phys. Rev. E 58, R6903-R6906 (1998).
22. Chat́, H. Lyapunov analysis of spatiotemporal intermittency. Europhys. Lett. 21, 419-425 (1993).
23. Egolf, D. A. Dynamical dimension of defects in spatiotemporal chaos, Phys. Rev. Lett. 81, 4120-4123 (1998).
24. Busse, F. H. & Clever, R. M. Instabilities of convection rolls in a fluid of moderate Prandtl number. J. Fluid Mech. 91, 319-335 (1979).