Parametric forcing of waves with a nonmonotonic dispersion relation: Domain structures in ferrofluids

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 55, Issue 5, 1997, Pages 5448-5454

  Raitt, David ^a   Riecke, Hermann ^b  

^a FLORIDA STATE UNIVERSITY   (United States)

^b Northwestern University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037656696     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.55.5448     Document Type: Article

References (38)

1. M. Cross and P. Hohenberg, Rev. Mod. Phys.65, 851 (1993).
2. Y. Pomeau and P. Manneville, J. Phys. Lett. (Paris)23, L609 (1979).
3. W. Eckhaus, Studies in Nonlinear Stability Theory (Springer, New York, 1965).
4. L. Kramer and W. Zimmermann, Physica D16, 221 (1985).
5. H. Brand and R. Deissler, Phys. Rev. Lett.63, 508 (1989).
6. H. Riecke, Europhys. Lett.11, 213 (1990).
7. R. Deissler, Y. Lee and H. Brand, Phys. Rev. A42, 2101 (1990).
8. H. Brand and R. Deissler, Phys. Rev. A41, 5478 (1990).
9. H. Riecke, in Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems, edited by F. Busse and L. Kramer (Plenum, New York, 1990), pp. 437–444.
10. J. Hegseth, J. Vince, M. Dubois and P. Bergé, Europhys. Lett.17, 413 (1992).
11. S. Residori, Phys. Rev. Lett.76, 1063 (1996).
12. D. Raitt and H. Riecke, in Spatiotemporal Patterns in Nonequilibrium Complex Systems, Santa Fe Institute, edited by P. Cladis and P. Palffy-Muhoray (Addison-Wesley, Reading, MA, 1995), pp. 255–264.
13. D. Raitt and H. Riecke, Physica D82, 79 (1995).
14. P. Coullet, C. Elphick and D. Repaux, Phys. Rev. Lett.58, 431 (1987).
15. W. Pesch and L. Kramer, Z. Phys. B63, 121 (1986).
16. E. Bodenschatz, W. Zimmermann and L. Kramer, J. Phys. (Paris)49, 1875 (1988).
17. E. Bodenschatz, in The Geometry of Non-Equilibrium, edited by P. Coullet and P. Huerre (Plenum, New York, 1990), p. 111.
18. F. Busse and F. Finocchi, Phys. Earth Planetary Interiors80, 13 (1993).
19. R. Tagg, W. Edwards and H. Swinney, Phys. Rev. A42, 831 (1990).
20. S. Tennakoon, C. Andereck, J. Hegseth, and H. Riecke, Phys. Rev. E (unpublished).
21. I. Rehberg, Phys. Rev. Lett.61, 2449 (1988).
22. M. de la Torre-Juarez and I. Rehberg, Phys. Rev. A42, 2096 (1990).
23. T. Mahr, A. Groisman, and I. Rehberg, J. Magn. Magn. Mater. (to be published).
24. R. Rosensweig, Ferrohydrodynamics (Cambridge University Press, Cambridge, 1985).
25. R. Rosensweig, Ann. Rev. Fluid Mech.19, 437 (1987).
26. G. Taylor and A. McEwan, J. Fluid Mech.22, 1 (1965).
27. J. He, N. Miskovsky, P. Cutler and M. Chung, J. Appl. Phys.68, 1475 (1990).
28. G. de Surgy, J. Chabrerie, O. Denoux and J. Wesfreid, J. Phys. II3, 1201 (1993).
29. A. Elhefnawy, Physica A297, 561 (1994).
30. H. Riecke, J. Crawford and E. Knobloch, Phys. Rev. Lett.61, 1942 (1988).
31. D. Walgraef, Europhys. Lett.7, 485 (1988).
32. H. Riecke, M. Silber and L. Kramer, Phys. Rev. E49, 4100 (1994).
33. M. Proctor, Phys. Fluids A3, 299 (1991).
34. T. Benjamin and J. Feir, J. Fluid Mech.27, 417 (1967).
35. J. Stuart and R. DiPrima, Proc. R. Soc. London Ser. A362, 27 (1978).
36. B. Malomed, A. Nepomnyashchy and M. Tribelsky, Phys. Rev. A42, 7244 (1990).
37. P. Coullet, K. Emilsson and D. Walgraef, Physica D61, 132 (1992).
38. H. Brand and R. Deissler, Phys. Rev. A46, 888 (1992).