Complex dynamical states in binary mixture convection with weak negative Soret coupling

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 75, Issue 2, 2007, Pages

  Alonso, Arantxa ^a   Batiste, Oriol ^a   Meseguer, Alvaro ^a   Mercader, Isabel ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ASPECT RATIO; CONTAINERS; ETHANOL; HEAT CONVECTION; HYDRODYNAMICS; WATER ANALYSIS;

CHAOTIC STATES; HYDRODYNAMIC EQUATIONS; NONLINEAR STATES; QUIESCENT FLUIDS; SORET COUPLING;

BINARY MIXTURES;

EID: 33847394942     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.75.026310     Document Type: Article

References (42)

1. M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.65.851 65, 851 (1993).
2. O. Batiste and E. Knobloch, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.244501 95, 244501 (2005).
3. P. Kolodner, S. Slimani, N. Aubry, and R. Lima, Physica D PDNPDT 0167-2789 10.1016/0167-2789(95)00061-8 85, 165 (1995).
4. P. Kolodner, J. A. Glazier, and H. Williams, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.65.1579 65, 1579 (1990).
5. J. A. Glazier, P. Kolodner, and H. Williams, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01048806 64, 945 (1991).
6. E. Kaplan, E. Kuznetsov, and V. Steinberg, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.50.3712 50, 3712 (1994).
7. P. Kolodner, C. M. Surko, and H. Williams, Physica D PDNPDT 0167-2789 10.1016/0167-2789(89)90140-1 37, 319 (1989).
8. V. Steinberg, J. Fineberg, E. Moses, and I. Rehberg, Physica D PDNPDT 0167-2789 10.1016/0167-2789(89)90143-7 37, 359 (1989).
9. A. C. Newell, Nonlinear Wave Motion, Lectures in Applied Mathematics Vol. 15 (AMS, Providence, RI, 1974).
10. W. Schöpf and W. Zimmermann, Europhys. Lett. EULEEJ 0295-5075 8, 41 (1989).
11. W. Schöpf and W. Zimmermann, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.47.1739 47, 1739 (1993).
12. P. Coullet, S. Fauve, and E. Tirapegui, J. Phys. (France) Lett. JPSLBO 0302-072X 46, 787 (1985).
13. M. C. Cross, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.38.3593 38, 3593 (1988).
14. H. U. Voss, P. Kolodner, M. Abel, and J. Kurths, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.3422 83, 3422 (1999).
15. W. Barten, M. Lücke, and M. Kamps, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.66.2621 66, 2621 (1991).
16. M. Lücke, W. Barten, and M. Kamps, Physica D PDNPDT 0167-2789 10.1016/0167-2789(92)90161-F 61, 183 (1992).
17. H. Riecke, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.68.301 68, 301 (1992).
18. H. Riecke, Physica D PDNPDT 0167-2789 10.1016/0167-2789(92)90169-N 61, 253 (1992).
19. H. Herrero and H. Riecke, Physica D PDNPDT 0167-2789 10.1016/0167- 2789(95)00068-F 85, 79 (1995).
20. H. Riecke and W. J. Rappel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.4035 75, 4035 (1995).
21. H. Riecke, Physica D PDNPDT 0167-2789 10.1016/0167-2789(95)00282-0 92, 69 (1996).
22. C. S. Bretherton and E. A. Spiegel, Phys. Lett. PYLAAG 0375-9601 10.1016/0375-9601(83)90491-7 96A, 152 (1983).
23. W. Schöpf and L. Kramer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.66.2316 66, 2316 (1991).
24. I. S. Aranson and L. Kramer, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.74.99 74, 99 (2002).
25. P. Kolodner, G. Flätgen, and I. G. Kevrekidis, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.730 83, 730 (1999).
26. P. Kolodner and G. Flätgen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.61.2519 61, 2519 (2000).
27. St. Hollinger, P. Büchel, and M. Lücke, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.235 78, 235 (1997).
28. W. Barten, M. Lücke, M. Kamps, and R. Schmitz, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.51.5636 51, 5636 (1995).
29. M. Lücke, W. Barten, P. Büchel, C. Fütterer, St. Hollinger, and Ch. Jung, in Evolution of Structures in Dissipative Continous Systems, edited by, F. H. Busse, and, S. C. Müller, (Springer, Berlin, 1998), p. 127.
30. W. Barten, M. Lücke, M. Kamps, and R. Schmitz, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.51.5662 51, 5662 (1995).
31. D. Jung and M. Lücke, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.054502 89, 054502 (2002).
32. D. Jung and M. Lücke, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.026307 72, 026307 (2005).
33. O. Batiste, M. Net, I. Mercader, and E. Knobloch, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.2309 86, 2309 (2001).
34. I. Mercader, A. Alonso, and O. Batiste, Eur. Phys. J. E EPJSFH 1292-8941 15, 331 (2004).
35. A. Alonso, O. Batiste, and I. Mercader, J. Phys.: Conf. Ser. JPCSDZ 1742-6588 14, 180 (2005).
36. A. Alonso and O. Batiste, Theor. Comput. Fluid Dyn. TCFDEP 0935-4964 10.1007/s00162-004-0130-8 18, 239 (2004).
37. G. E. Karniadakis, M. Israeli, and S. A. Orszag, J. Comput. Phys. JCTPAH 0021-9991 10.1016/0021-9991(91)90007-8 97, 414 (1991).
38. S. Zhao and M. J. Yedlin, J. Comput. Phys. JCTPAH 0021-9991 10.1006/jcph.1994.1131 113, 215 (1994).
39. C. K. Mamun and L. Tuckerman, Phys. Fluids PHFLE6 1070-6631 10.1063/1.868730 7, 80 (1995).
40. I. Mercader, O. Batiste, and A. Alonso, Int. J. Numer. Methods Fluids IJNFDW 0271-2091 10.1002/fld.1196 52, 707 (2006).
41. J. Burke and E. Knobloch, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.056211 73, 056211 (2006).
42. O. Batiste, E. Knobloch, A. Alonso, and I. Mercader, J. Fluid Mech. JFLSA7 0022-1120 560, 149 (2006).