Abstract
The instabilities of a linear array of vortices are studied experimentally, for two values of the thickness of the fluid layer. In the first case (thickness of 2 mm), the system is found to behave like a chain of coupled oscillators. New experimental results obtained for a thickness of 3 mm are described. The qualitatively different behavior found in the latter case may be the signature of the influence of a second-neighbor coupling.
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References
S. Ciliberto and P. Bigazzi,Phys. Rev. Lett. 60:286 (1988); M. Dubois, D. Da Silva, F. Daviaud, P. Bergé, and A. P. Petrov,Europhys. Lett. 8:135 (1989); M. Rabaud, S. Michalland, and Y. Couder,Phys. Rev. Lett. 64:184 (1990).
P. Tabeling, S. Fauve, and B. Perrin,Europhys. Lett. 4:555 (1987); P. Tabeling, O. Cardoso, and B. Perrin,J. Fluid Mech. 213:511 (1990); O. Cardoso, H. Willaime, and P. Tabeling,Phys. Rev. Lett. 65:1869 (1990).
Y. Kuramoto,Chemical Oscillations, Waves and Turbulence (Springer, Heidelberg, 1984).
V. Croquette and H. Williams,Phys. Rev. A 39:2765 (1989).
G. Balzer, M. Dubois, and P. Bergé, private communication.
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Willaime, H., Cardoso, O. & Tabeling, P. Regimes of oscillation in a linear array of vortices. J Stat Phys 64, 961–968 (1991). https://doi.org/10.1007/BF01048807
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DOI: https://doi.org/10.1007/BF01048807