Critical phenomena near bifurcations in nonequilibrium systems

International Journal of Modern Physics B

Volumn 17, Issue 22-24 I, 2003, Pages 3899-3907

  Ahlers, Guenter ^a   Oh, Jaechul ^a,b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b NAVAL RESEARCH LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONFERENCE PAPER; DISPERSION; HYPOTHESIS; LINEAR SYSTEM; LIQUID; LIQUID CRYSTAL; THERMODYNAMICS;

EID: 0344013087     PISSN: 02179792     EISSN: None     Source Type: Journal    
DOI: 10.1142/s0217979203021897     Document Type: Conference Paper

References (27)

1. L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Pergamon, London, 1959).
2. V. M. Zaitsev and M. I. Shliomis, 59, 1583 1970 [English translation: 32, 866 1971].
3. R. Graham, Phys. Rev. A10, 1762 (1974).
4. J. B. Swift and P. C. Hohenberg, Phys. Rev. A15, 319 (1977).
5. I. Rehberg, S. Rasenat, M. de la Torre-Juarez, W. Schöpf, F. Hörner, G. Ahlers and H. R. Brand, Phys. Rev. Lett. 67, 596 (1991).
6. E. Bodenschatz, S. Morris, J. de Bruyn, D.S. Cannell, and G. Ahlers, in Proceedings of the KIT International Workshop on the Physics of Pattern Formation in Complex Dissipative Systems, ed. S. Kai (World Scientific, Singapore, 1992), p. 227.
7. M. Wu, G. Ahlers and D. S. Cannell, Phys. Rev. Lett. 75, 1743 (1995).
8. Recent measurements by W. Schöpf and I. Rehberg [J. Fluid Mech. 271, 235 (1994)] using binary mixtures and by G. Quentin and I. Rehberg [Phys. Rev. Lett. 74, 1578 (1995)] involved pseudo-one-dimensional sample geometries for which theoretical predictions are more difficult to obtain due to the influence of the sidewalls. In this review we consider only results obtained for systems of large extent in two dimensions.
9. Recent measurements by W. Schöpf and I. Rehberg [J. Fluid Mech. 271, 235 (1994)] using binary mixtures and by G. Quentin and I. Rehberg [Phys. Rev. Lett. 74, 1578 (1995)] involved pseudo-one-dimensional sample geometries for which theoretical predictions are more difficult to obtain due to the influence of the sidewalls. In this review we consider only results obtained for systems of large extent in two dimensions.
10. J. R. deBruyn, E. Bodenschatz, S. Morris, S. Trainoff, Y.-C. Hu, D. S. Cannell and G. Ahlers, Rev. Sci. Instrum. 67, 2043 (1996).
11. H. van Beijeren and E. G. D. Cohen, J. Stat. Phys. 53, 77 (1988).
12. P. C. Hohenberg and J. Swift, Phys. Rev. A46, 4773 (1992).
13. M. A. Scherer, G. Ahlers, F. Hörner and I. Rehberg, Phys. Rev. Lett. 85, 3754 (2000).
14. M. A. Scherer and G. Ahlers, Phys. Rev. E65, 051101 (2002).
15. S. A. Brazovskii, Sov. Phys. JETP 41, 85 (1975).
16. This feature was noted also by M. Assenheimer and V. Steinberg, Europhysics News 27, 143 (1996).
17. A. Schlüter, D. Lortz and F. Busse, J. Fluid Mech. 23, 129 (1965).
18. See, for example, E. Bodenschatz, W. Pesch and G. Ahlers, Annu. Rev. Fluid Mech. 32, 709 (2000).
19. F. S. Bates, J. H. Rosedale, G. H. Fredrickson and C. J. Glinka, Phys. Rev. Lett. 61, 2229 (1988).
20. A. Schlüter, D. Lortz and F. Busse, J. Fluid Mech. 23, 129 (1965).
21. Our results differ from measurements by Roy and Steinberg, 21 who found hexagons just above onset for experimental parameters believed to be similar to ours.
22. A. Roy and V. Steinberg, Phys. Rev. Lett. 88, 244503-1 (2002).
23. E. Bodenschatz, W. Zimmermann and L. Kramer, J. Phys. France 49, 1875 (1988).
24. L. Kramer and W. Pesch, in Pattern formation in liquid crystals, edited by A. Buka and L. Kramer (Springer, New York, 1996).
25. M. Treiber and L. Kramer, Phys. Rev. E58, 1973 (1998).
26. A. Buka et al., Phys. Rev. E66, 051713 (2002).
27. S.-L Qiu and G. Ahlers, unpublished.