- Rapid Communication
- Access by Xinjiang University
Competing patterns in the Faraday experiment
Phys. Rev. E 52, R4606(R) – Published 1 November, 1995
DOI: https://doi.org/10.1103/PhysRevE.52.R4606
Abstract
Competition between subharmonically generated equilateral triangles and regular hexagons is observed in the Faraday experiment with viscous fluids subjected to a sinusoidal forcing. For kinematic viscosities around 17 /s, all spatially regular patterns—stripes, squares, hexagons, and triangles can be parametrically excited in the same fluid depending on the forcing amplitude and frequency. Close to this value of viscosity, hexagonal and square patterns coexist showing a bicritical point.
References (10)
- M. Faraday, Philos. Trans. R. Soc. London Ser. A 52, 299 (1831).
- W. S. Edwards and S. Fauve, Phys. Rev. E 47, R788 (1993); C. R. Acad. Sci. (Paris) 315-II, 417 (1992).
- H. W. Müller, Phys. Rev. Lett. 71, 3287 (1993).
- W. S. Edwards et al.(unpublished).
- A. B. Ezerskii et al. [JETP Lett. 41, 157 (1986)], Pis'ma Zh. Éksp. Teor. 41, 129 (1985); , N. Tufillaro Phys. Rev. Lett. 62, 422 (1989) S. Douady, J. Fluid Mech. 221, 383 (1990); S. Cilliberto Europhys. Lett. 15, 23 (1991).
- K. Kumar, Proc. R. Soc. London Ser. A (to be published); K. Kumar and L. S. Tuckerman, J. Fluid Mech. 279, 49 (1994).
- S. Fauve et al. Phys. Rev. Lett. 68, 3160 (1992).
- T. B. Benjamin and C. Scott, J. Fluid Mech. 92, 241 (1979).
- M. Golubitisky et al. Physica 10D, 249 (1984).
- M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993).