Prevalence of weak turbulence in strongly driven surface ripples

Europhysics Letters

Volumn 52, Issue 1, 2000, Pages 27-32

  Henry, E ^a   Alstrom P ^a   Levinsen, M T ^a  

^a UNIVERSITY OF COPENHAGEN   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034287829     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i2000-00399-6     Document Type: Article

References (18)

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3. ZAKHAROV V. E. and FILONENKO N. N., Zh. Prikl. Mekh. Tekh. Fiz., 8 (1967) 62 (J. Appl. Mech. Tech. Phys., 8 (1967) 37).
4. WRIGHT W., BUDAKIAN R. and PUTTERMAN S., Science, 278 (1997) 1609.
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6. HENRY E., ALSTRØM P. and LEVINSEN M. T., in Stochastic and Chaotic Dynamics in the Lakes, edited by D. S. BROOMHEAD, E. A. LUCHINSKAYA, P. V. E. MCCLINTOCK and T. MULLIN (American Institute of Physics, Melville, NY) 2000, pp. 504-509.
7. PUSHKAREV A. N. and ZAKHAROV V. E., Phys. Rev. Lett., 76 (1996) 3320. The occurrence of peaks in the spectrum was studied numerically by FALCOVICH G. E. and SHAFARENKO A. B., Sov. Phys. JETP, 68 (1988) 1393.
8. PUSHKAREV A. N. and ZAKHAROV V. E., Phys. Rev. Lett., 76 (1996) 3320. The occurrence of peaks in the spectrum was studied numerically by FALCOVICH G. E. and SHAFARENKO A. B., Sov. Phys. JETP, 68 (1988) 1393.
9. SCHRÖDER E., ANDERSEN J. S., LEVINSEN M. T., ALSTRØM P. and GOLDBURG W. I., Phys. Rev. Lett., 76 (1996) 4717.
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12. CHRISTIANSEN B., ALSTRØM P. and LEVINSEN M. T., Phys. Rev. Lett., 68 (1992) 2157; GLUCKMAN B. J., MARQ P., BRIDGES J. and GOLLUB J. P., Phys. Rev. Lett., 71 (1993) 2034.
13. 3.2 using the dispersion relation.
14. ISHIMARU A., Wave Propagation and Scattering in Random Media (Academic, New York) 1978.
15. 50 μs corresponds to a Nyquist critical frequency of 10 kHz.
16. The parametric drive produces a wave frequency which is f/2.
17. The driving amplitude was chosen as high as possible, requiring a non-singular surface (no drops repelled from the surface). At 15 Hz the amplitude was about four times the amplitude at which surface waves are first formed.
18. According to the dispersion relation, eq. (1), w/(2η) = 250 Hz corresponds to a wavelength of 1.7 mm.