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Bifurcations in spiral tip dynamics induced by natural convection in the Belousov–Zhabotinsky reaction

Budroni, Marcello Antonio and Masia, Marco and Rustici, Mauro and Marchettini, Nadia and Volpert, Vitaly (2009) Bifurcations in spiral tip dynamics induced by natural convection in the Belousov–Zhabotinsky reaction. The Journal of Chemical Physics, Vol. 130 (2), p. 24902/1-8. eISSN 1089-7690. Article.

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DOI: 10.1063/1.3050356

Abstract

The transition to spatial-temporal complexity exhibited by spiral waves under the effect of gravitational field in the Belousov–Zhabotinsky reaction is numerically studied on the basis of spiral tip dynamics. Successive transformations in tip trajectories are characterized as a function of the hydrodynamical parameter and attributed to a Ruelle–Takens–Newhouse scenario to chaos. The analysis describes the emergence of complexity in terms of the interplay between the evolution of the velocity field and concentration waves. In particular, (i) by mapping the tip motion in relation to some hydrodynamical pseudopotentials, the general mechanism by which the velocity field affects the tip trajectory is pointed out, and, (ii) by comparing the dynamical evolutions of local and mean properties associated with the inhomogeneous structures and to the velocity field, a surprising correlation is found. The results suggest that the reaction-diffusion-convection (RDC) coupling addresses the system to some general regimes, whose nature is imposed by the hydrodynamical contribution. More generally, RDC coupling would be formalized as the phenomenon that governs the system and drives it to chaos.

Item Type:Article
ID Code:2472
Status:Published
Refereed:Yes
Uncontrolled Keywords:Bifurcation, chaos, chemical equilibrium, chemical reactions, natural convection, reaction kinetics theory, reaction-diffusion systems
Subjects:Area 03 - Scienze chimiche > CHIM/02 Chimica fisica
Divisions:001 Università di Sassari > 01 Dipartimenti > Chimica
Publisher:American Institute of Physics
eISSN:1089-7690
Publisher Policy:Depositato in conformità con la politica di copyright dell'Editore
Deposited On:18 Aug 2009 10:07

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