Spatiotemporal chaos in electroconvection

Science

Volumn 272, Issue 5260, 1996, Pages 388-390

  Dennin, Michael ^a   Ahlers, Guenter ^a   Cannell, David S ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001046658     PISSN: 00368075     EISSN: None     Source Type: Journal    
DOI: 10.1126/science.272.5260.388     Document Type: Article

References (11)

1. M. C. Cross and P. C Hohenberg, Rev Mod. Phys. 65, 851 (1993), Science 263, 1569 (1994).
2. M. C. Cross and P. C Hohenberg, Rev Mod. Phys. 65, 851 (1993), Science 263, 1569 (1994).
3. G. Ahlers, Phys. Rev. Lett. 33, 1185 (1974), J. P. Gollub and H. L. Swinney, ibid 35, 927 (1975)
4. G. Ahlers, Phys. Rev. Lett. 33, 1185 (1974), J. P. Gollub and H. L. Swinney, ibid 35, 927 (1975)
5. M Treiber and L. Kramer, Mol. Cryst. Liq. Cryst. 261, 311 (1995).
6. Another system in which STC evolves from the uniform state by means of a supercritical bifurcation is convection in an isotropic fluid with rotation about a vertical axis [G. Kuppers and D. Lortz, J. Fluid Mech. 35, 609 (1969)] However, in this case it is not clear that the system can be described by a small number of modes and the corresponding coupled Ginzburg-Landau equations. Attempts to do so have led to disagreement with experimental results [Y. Hu, R. E. Ecke, G. Ahlers, Phys. Rev. Lett. 74, 5040 (1995) and references therein]
7. Another system in which STC evolves from the uniform state by means of a supercritical bifurcation is convection in an isotropic fluid with rotation about a vertical axis [G. Kuppers and D. Lortz, J. Fluid Mech. 35, 609 (1969)] However, in this case it is not clear that the system can be described by a small number of modes and the corresponding coupled Ginzburg-Landau equations. Attempts to do so have led to disagreement with experimental results [Y. Hu, R. E. Ecke, G. Ahlers, Phys. Rev. Lett. 74, 5040 (1995) and references therein]
8. For a recent review of pattern formation in liquid crystals, see L. Kramer and W. Pesch, Annu Rev Fluid Mach. 27, 515 (1995).
9. M. Dennin, M. Treiber, L. Kramer, G. Ahlers, D. S. Cannell, Phys Rev. Lett. 76, 319 (1996).
10. M. Dennin, G Ahlers, D. S Cannell, in Spatio-Temporal Patterns, P E. Cladis and P. Muhoray, Eds. (Addison-Wesley, Reading, MA, 1994), pp. 353-365.
11. Supported by NSF grant DMR94-19168