Propagation of a chemical wave front in a quasi-two-dimensional superdiffusive flow

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

Volumn 81, Issue 6, 2010, Pages

  Von Kameke, A ^a   Huhn, F ^a   Fernandez Garcia G ^a   Munuzuri A P ^a   Perez Munuzuri V ^a  

^a UNIVERSITY OF SANTIAGO DE COMPOSTELA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYSIS TECHNIQUES; BELOUSOV-ZHABOTINSKY REACTIONS; CHAOTIC FLOWS; CHEMICAL WAVES; COMPLEX TRAJECTORIES; DYNAMICS OF SYSTEM; FLIGHT TIME; FLUID FLOW; JUMP LENGTH; LENGTH SCALE; LOCAL EXPANSION; MICRO-PARTICLES; PARTICLE TRAJECTORIES; PASSIVE MEDIA; PATTERN FORMATION; REACTION DIFFUSION; REACTION DIFFUSION SYSTEMS; REAL SYSTEMS; SELF-ORGANIZING MECHANISM; STATISTICAL ANALYSIS;

DIFFUSION IN LIQUIDS; TWO DIMENSIONAL; WAVEFRONTS;

FLOW OF FLUIDS;

EID: 77953969643     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.81.066211     Document Type: Article

References (53)

1. R. N. Mantegna and H. E. Stanley, Nature (London) 376, 46 (1995). 10.1038/376046a0
2. M. A. Srokosz, G. D. Quartly, and J. J. H. Buck, Geophys. Res. Lett. 31, L13301 (2004). 10.1029/2004GL019738 (Pubitemid 39250755)
3. D. Brockmann, L. Hufnagel, and T. Geisel, Nature (London) 439, 462 (2006). 10.1038/nature04292 (Pubitemid 43152835)
4. R. Metzler and J. Klafter, J. Phys. A 37, R161 (2004). 10.1088/0305-4470/37/31/R01 (Pubitemid 39063557)
5. Z. Neufeld and E. Hernández-García, Chemical and Biological Processes in Fluid Flows (Imperial College Press, London, 2010).
6. Chemical Waves and Patterns, edited by, R. Kapral, and, K. Showalter, (Kluwer Academic, Dordrecht, 1993).
7. G. Fernández-García, D. I. Roncaglia, V. Perez-Villar, A. P. Munuzuri, and V. Perez-Munuzuri, Phys. Rev. E 77, 026204 (2008). 10.1103/PhysRevE.77.026204 (Pubitemid 351230762)
8. M. Faraday, Philos. Trans. R. Soc. London 121, 299 (1831). 10.1098/rstl.1831.0018
9. J. W. Miles and D. Henderson, Annu. Rev. Fluid Mech. 22, 143 (1990). 10.1146/annurev.fl.22.010190.001043
10. R. A. Fisher, Ann. Eugen. 7, 355 (1937).
11. J. R. Boehmer and T. H. Solomon, EPL 83, 58002 (2008). 10.1209/0295-5075/83/58002
12. M. B. Isichenko, Rev. Mod. Phys. 64, 961 (1992). 10.1103/RevModPhys.64. 961
13. P. Castiglione, A. Mazzino, P. Muratore-Ginanneschi, and A. Vulpani, Physica D 134, 75 (1999). 10.1016/S0167-2789(99)00031-7
14. E. W. Montroll and G. H. Weiss, J. Math. Phys. 6, 167 (1965). 10.1063/1.1704269
15. M. F. Shlesinger and J. Klafter, J. Phys. Chem. 93, 7023 (1989). 10.1021/j100356a028
16. R. Ramshankar, D. Berlin, and J. P. Gollub, Phys. Fluids A 2, 1955 (1990). 10.1063/1.857671
17. R. Ramshankar and J. P. Gollub, Phys. Fluids A 3, 1344 (1991). 10.1063/1.858063
18. E. Schröder, J. S. Andersen, M. T. Levinsen, P. Alstrom, and W. I. Goldburg, Phys. Rev. Lett. 76, 4717 (1996). 10.1103/PhysRevLett.76.4717
19. A. E. Hansen, Phys. Rev. Lett. 79, 1845 (1997). 10.1103/PhysRevLett.79. 1845
20. T. H. Solomon, E. R. Weeks, Harry L. Swinney, Phys. Rev. Lett. 71, 3975 (1993). 10.1103/PhysRevLett.71.3975
21. T. H. Solomon, E. R. Weeks, and H. L. Swinney, Physica D 76, 70 (1994). 10.1016/0167-2789(94)90251-8
22. T. H. Solomon, A. T. LEE, and M. A. Fogleman, Physica D 157, 40 (2001). 10.1016/S0167-2789(01)00291-3 (Pubitemid 32723745)
23. M. A. Fogleman, M. J. Fawcett, and T. H. Solomon, Phys. Rev. E 63, 020101 (R) (2001). 10.1103/PhysRevE.63.020101
24. R. Gorenflo, F. Mainardi, D. Moretti, G. Pagnini, and P. Paradisi, Physica A 305, 106 (2002). 10.1016/S0378-4371(01)00647-1 (Pubitemid 34222970)
25. R. N. Mantegna and H. E. Stanley, Phys. Rev. Lett. 73, 2946 (1994). 10.1103/PhysRevLett.73.2946
26. A. Blumen, G. Zumofen, and J. Klafter, Phys. Rev. A 40, 3964 (1989). 10.1103/PhysRevA.40.3964
27. D. H. Zanette, Phys. Rev. E 55, 6632 (1997). 10.1103/PhysRevE.55.6632
28. R. Mancinelli, D. Vergni, and A. Vulpiani, EPL 60, 532 (2002). 10.1209/epl/i2002-00251-7
29. G. Zumofen and J. Klafter, Phys. Rev. E 50, 5119 (1994). 10.1103/PhysRevE.50.5119
30. V. V. Gafiychuk and B. Y. Datsko, Phys. Rev. E 75, 055201 (R) (2007). 10.1103/PhysRevE.75.055201 (Pubitemid 46686359)
31. M. S. Paoletti and T. H. Solomon, Phys. Rev. E 72, 046204 (2005). 10.1103/PhysRevE.72.046204 (Pubitemid 41777958)
32. M. S. Paoletti, C. R. Nugent, and T. H. Solomon, Phys. Rev. Lett. 96, 124101 (2006). 10.1103/PhysRevLett.96.124101
33. G. Fernández-García and V. Pérez-Muñuzuri, Eur. Phys. J. - Special Topics 165, 169 (2008). 10.1140/epjst/e2008-00860-2
34. R. Gorenflo and F. Mainardi, in Anomalous Transport, edited by, R. Klages,,, G. Radons,, and, I. M. Sokolov, (Wiley, Weinheim, 2008).
35. M. T. Westra, D. J. Brinks, and W. van der Water, J. Fluid Mech. 496, 1 (2003). 10.1017/S0022112003005895 (Pubitemid 38211412)
36. N. B. Tufillaro, R. Ramshankar, and J. P. Gollub, Phys. Rev. Lett. 62, 422 (1989). 10.1103/PhysRevLett.62.422
37. A. Kudrolli and J. P. Gollub, Physica D 97, 133 (1996). 10.1016/0167-2789(96)00099-1
38. P. H. Wright and J. R. Saylor, Rev. Sci. Instrum. 74, 4063 (2003). 10.1063/1.1602936
39. O. Steinbock, C. T. Hamik, and B. Steinbock, J. Phys. Chem. A 104, 6411 (2000). 10.1021/jp000531+
40. Y. Y. Kalishyn, M. Rachwaska, V. O. Khavrus, and P. E. Strizhak, Phys. Chem. Chem. Phys. 7, 1680 (2005). 10.1039/b416006a (Pubitemid 40622315)
41. G. M. Zaslavsky, Phys. Rep. 371, 461 (2002). 10.1016/S0370-1573(02)00331- 9
42. M. F. Schlesinger, in Anomalous Transport, edited by, R. Klages,,, G. Radons,, and, I. M. Sokolov, (Wiley, Weinheim, 2008).
43. D. del-Castillo-Negrete, in Anomalous Transport, edited by, R. Klages,,, G. Radons,, and, I. M. Sokolov, (Wiley, Weinheim, 2008).
44. J. P. Bouchaud and A. Georges, Phys. Rev. A 41, 1156 (1990). 10.1103/PhysRevA.41.1156
45. X.-J. Wang, Phys. Rev. A 45, 8407 (1992). 10.1103/PhysRevA.45.8407
46. J. Klafter, A. Blumen, and M. F. Schlesinger, Phys. Rev. A 35, 3081 (1987). 10.1103/PhysRevA.35.3081
47. M. F. Shlesinger, B. J. West, and J. Klafter, Phys. Rev. Lett. 58, 1100 (1987). 10.1103/PhysRevLett.58.1100
48. V. Pérez-Muñuzuri, R. Aliev, B. Vasiev, V. Perez-Villar, and V. I. Krinsky, Nature (London) 353, 740 (1991). 10.1038/353740a0
49. B. J. West and W. Deering, Phys. Rep. 246, 1 (1994). 10.1016/0370- 1573(94)00055-7
50. R. N. Mantegna, Phys. Rev. E 49, 4677 (1994). 10.1103/PhysRevE.49.4677
51. D. del-Castillo-Negrete, B. A. Carreras, and V. E. Lynch, Phys. Rev. Lett. 91, 018302 (2003). 10.1103/PhysRevLett.91.018302
52. D. Brockmann and L. Hufnagel, Phys. Rev. Lett. 98, 178301 (2007). 10.1103/PhysRevLett.98.178301 (Pubitemid 46676936)
53. S. Edouard, B. Legras, F. Lefevre, and R. Eymard, Nature (London) 384, 444 (1996). 10.1038/384444a0 (Pubitemid 26414656)