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Attractive interaction between pulses in a model for convection in binary mixtures

Hermann Riecke

  • Department of Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, Illinois 60208

Phys. Rev. E 52, 5685 – Published 1 November, 1995

DOI: https://doi.org/10.1103/PhysRevE.52.5685

Abstract

Recent experiments on convection in binary mixtures have shown that the interaction between localized waves (pulses) can be repulsive as well as attractive and depends strongly on the relative orientation of the pulses. It is demonstrated that the concentration mode, which is characteristic of the extended Ginzburg-Landau equations introduced recently, allows a natural understanding of that result. Within the standard complex Ginzburg-Landau equation this would not be possible.

References (23)

  1. P. Kolodner, D. Bensimon and C. Surko, Phys. Rev. Lett. 60, 1723 (1988).
  2. D. Bensimon, P. Kolodner and C. Surko, J. Fluid Mech. 217, 441 (1990).
  3. J. Niemela, G. Ahlers and D. Cannell, Phys. Rev. Lett. 64, 1365 (1990).
  4. E. Moses, J. Fineberg and V. Steinberg, Phys. Rev. A 35, 2757 (1987).
  5. P. Kolodner, Phys. Rev. Lett. 66, 1165 (1991).
  6. P. Kolodner, Phys. Rev. A 44, 6466 (1991).
  7. P. Kolodner, Phys. Rev. E 48, 4187 (1993).
  8. P. Kolodner, Phys. Rev. E 50, 2731 (1994).
  9. W. Barten, M. Lücke and M. Kamps, Phys. Rev. Lett. 66, 2621 (1991).
  10. W. Barten, M. Lücke, M. Kamps and R. Schmitz, Phys. Rev. E 51, 5662 (1995).
  11. O. Thual and S. Fauve, J. Phys. (Paris) 49, 1829 (1988).
  12. L. Pismen, Phys. Rev. A 35, 1873 (1987).
  13. B. Malomed and A. Nepomnyashchy, Phys. Rev. A 42, 6009 (1990).
  14. V. Hakim and Y. Pomeau, Eur. J. Mech. B Suppl. 10, 137 (1991).
  15. H. Riecke, Phys. Rev. Lett. 68, 301 (1992).
  16. H. Riecke, Physica D 61, 253 (1992).
  17. H. Herrero and H. Riecke, Physica D 85, 79 (1995).
  18. H. Riecke, Physica D (to be published).
  19. H. Riecke and W. J. Rappel, (unpublished).
  20. B. Malomed, Phys. Rev. A 45, 8321 (1992).
  21. T. Ueda and W. Kath, Phys. Rev. A 42, 563 (1990).
  22. W. Schöpf and W. Zimmermann, Phys. Rev. E 47, 1739 (1993).
  23. H. Brand and R. Deissler, Phys. Rev. Lett. 63, 2801 (1989).

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