Journal
JOURNAL OF CHEMICAL PHYSICS
Volume 130, Issue 2, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/1.3050356
Keywords
bifurcation; chaos; chemical equilibrium; chemical reactions; natural convection; reaction kinetics theory; reaction-diffusion systems
Funding
- Universita degli studi di Sassari [FAR 2007]
- Istituto Nazionale per la Scienza e Tecnologia dei Materiali (INSTM)
- Istituto Nazionale per la Fisica della Materia (CNR-INFM) at Sardinian Laboratory for Computational Materials Science
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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.
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