Abstract
We present experiments on the propagation of a wave front in a fluid forced by Faraday waves. The vertical periodical modulation of the acceleration induces flows in the system that modifies the Belousov-Zhabotinsky (BZ) chemical reaction dynamics. Phase waves spreading through standing waves with different symmetries results in superdiffusion. The anomalous diffusion is characterized in terms of a non-integer transport exponent which is compared with exponents resulting from tracer particles trajectories undergoing rapid, distant jumps called Lévy flights.
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References
J.D. Murray, Mathematical Biology, 2nd edn. (Springer-Verlag, 1993)
R. Nathan, G.G. Katul, H.S. Horn, S.M. Thomas, R. Oren, R. Avissar, S.W. Pacala, S.A. Levin, Nature 418, 409 (2002); D. Brockmann, L. Hufnagel, T. Geisel, Nature 439, 462 (2006)
M.F. Shlesinger, B.J. West, J. Klafter, Phys. Rev. Lett. 58, 1100 (1987)
T.H. Solomon, E.R. Weeks, H.L. Swinney, Phys. Rev. Lett. 71, 3975 (1993)
M.S. Paoletti, C.R. Nugent, T.H. Solomon, Phys. Rev. Lett. 96, 124101 (2006)
B.D. Hughes, M.F. Shlesinger, E.W. Montroll, Proc. Natl. Acad. Sci. USA 78, 3287 (1981); M.F. Shlesinger, G.M. Zaslavsky, J. Klafter, Nature 363, 31 (1993)
D.H. Zanette, Phys. Rev. E 55, 1181 (1997)
R. Mancinelli, D. Vergni, A. Vulpiani, Europhys. Lett. 60, 532 (2002)
D. del-Castillo-Negrete, B.A. Carreras, V.E. Lynch, Phys. Rev. Lett. 91, 018302 (2003)
D. Brockmann, L. Hufnagel, Phys. Rev. Lett. 98, 178301 (2007)
M. Faraday, Philos. Trans. R. Soc. London 121, 319 (1831)
J.W. Miles, D. Henderson, Annu. Rev. Fluid Mech. 22, 143 (1990)
G. Fernández-García, D.I. Roncaglia, V. Pérez-Villar, A.P. Muñuzuri, V. Pérez-Muñuzuri, Phys. Rev. E 77, 026204 (2008)
M.T. Westra, D.J. Binks, W. Water, J. Fluid Mech. 496, 1 (2003)
O. Steinbock, C.T. Hamik, B. Steinbock, J. Phys. Chem. A 104, 6411 (2000)
M. Gómez-Gesteira, G. Fernández-García, A.P. Muñuzuri, V. Pérez-Muñuzuri, V.I. Krinsky, C.F. Starmer, V. Pérez-Villar, Physica D 76, 359 (1994)
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Fernández-García, G., Pérez-Muñuzuri, V. Superdiffusive wave front propagation in a chemical active flow. Eur. Phys. J. Spec. Top. 165, 169–174 (2008). https://doi.org/10.1140/epjst/e2008-00860-2
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DOI: https://doi.org/10.1140/epjst/e2008-00860-2