Abstract
The development of complex states of fluid motion is illustrated by reviewing a series of experiments, emphasizing film flows, surface waves, and thermal convection. In one dimension, cellular patterns bifurcate to states of spatiotemporal chaos. In two dimensions, even ordered patterns can be surprisingly intricate when quasiperiodic patterns are included. Spatiotemporal chaos is best characterized statistically, and methods for doing so are evolving. Transport and mixing phenomena can also lead to spatial complexity, but the degree depends on the significance of molecular or thermal diffusion.
Full text
PDF
Images in this article
Selected References
These references are in PubMed. This may not be the complete list of references from this article.
- Babcock KL, Ahlers G, Cannell DS. Noise-sustained structure in Taylor-Couette flow with through flow. Phys Rev Lett. 1991 Dec 9;67(24):3388–3391. doi: 10.1103/PhysRevLett.67.3388. [DOI] [PubMed] [Google Scholar]
- Bodenschatz E, de Bruyn JR, Ahlers G, Cannell DS. Transitions between patterns in thermal convection. Phys Rev Lett. 1991 Nov 25;67(22):3078–3081. doi: 10.1103/PhysRevLett.67.3078. [DOI] [PubMed] [Google Scholar]
- Coullet P, Iooss G. Instabilities of one-dimensional cellular patterns. Phys Rev Lett. 1990 Feb 19;64(8):866–869. doi: 10.1103/PhysRevLett.64.866. [DOI] [PubMed] [Google Scholar]
- Decker W, Pesch W, Weber A. Spiral defect chaos in Rayleigh-Bénard convection. Phys Rev Lett. 1994 Aug 1;73(5):648–651. doi: 10.1103/PhysRevLett.73.648. [DOI] [PubMed] [Google Scholar]
- Gluckman BJ, Arnold CB, Gollub JP. Statistical studies of chaotic wave patterns. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1995 Feb;51(2):1128–1147. doi: 10.1103/physreve.51.1128. [DOI] [PubMed] [Google Scholar]
- Gluckman BJ, Marcq P, Bridger J, Gollub JP. Time averaging of chaotic spatiotemporal wave patterns. Phys Rev Lett. 1993 Sep 27;71(13):2034–2037. doi: 10.1103/PhysRevLett.71.2034. [DOI] [PubMed] [Google Scholar]
- Liu J, Gollub JP. Onset of spatially chaotic waves on flowing films. Phys Rev Lett. 1993 Apr 12;70(15):2289–2292. doi: 10.1103/PhysRevLett.70.2289. [DOI] [PubMed] [Google Scholar]
- Melo F, Douady S. From solitary waves to static patterns via spatiotemporal intermittency. Phys Rev Lett. 1993 Nov 15;71(20):3283–3286. doi: 10.1103/PhysRevLett.71.3283. [DOI] [PubMed] [Google Scholar]
- Morris SW, Bodenschatz E, Cannell DS, Ahlers G. Spiral defect chaos in large aspect ratio Rayleigh-Bénard convection. Phys Rev Lett. 1993 Sep 27;71(13):2026–2029. doi: 10.1103/PhysRevLett.71.2026. [DOI] [PubMed] [Google Scholar]
- Ning L, Hu Y, Ecke RE, Ahlers G. Spatial and temporal averages in chaotic patterns. Phys Rev Lett. 1993 Oct 4;71(14):2216–2219. doi: 10.1103/PhysRevLett.71.2216. [DOI] [PubMed] [Google Scholar]
- Pumir A, Shraiman BI, Siggia ED. Exponential tails and random advection. Phys Rev Lett. 1991 Jun 10;66(23):2984–2987. doi: 10.1103/PhysRevLett.66.2984. [DOI] [PubMed] [Google Scholar]
- Rehberg I, I, Rasenat S, de la Torre Juárez M, Schöpf W, Hörner F, Ahlers G, Brand HR. Thermally induced hydrodynamic fluctuations below the onset of electroconvection. Phys Rev Lett. 1991 Jul 29;67(5):596–599. doi: 10.1103/PhysRevLett.67.596. [DOI] [PubMed] [Google Scholar]
- Solomon TH, Gollub JP. Chaotic particle transport in time-dependent Rayleigh-Bénard convection. Phys Rev A Gen Phys. 1988 Dec 15;38(12):6280–6286. doi: 10.1103/physreva.38.6280. [DOI] [PubMed] [Google Scholar]
- Xi Hw, Gunton JD, Viñals J. Spiral defect chaos in a model of Rayleigh-Bénard convection. Phys Rev Lett. 1993 Sep 27;71(13):2030–2033. doi: 10.1103/PhysRevLett.71.2030. [DOI] [PubMed] [Google Scholar]