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On the origin of chaos in the Belousov-Zhabotinsky reaction in closed and unstirred reactors

Budroni, Marcello Antonio and Rustici, Mauro and Tiezzi, Enzo (2011) On the origin of chaos in the Belousov-Zhabotinsky reaction in closed and unstirred reactors. Mathematical Modelling of Natural Phenomena, Vol. 6 (1), p. 226-242. eISSN 1760-6101. Article.

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DOI: 10.1051/mmnp/20116112


We investigate the origin of deterministic chaos in the Belousov–Zhabotinsky (BZ) reaction carried out in closed and unstirred reactors (CURs). In detail, we develop a model on the idea that hydrodynamic instabilities play a driving role in the transition to chaotic dynamics. A set of partial differential equations were derived by coupling the two variable Oregonator–diffusion system to the Navier–Stokes equations. This approach allows us to shed light on the correlation between chemical oscillations and spatial–temporal dynamics. In particular, numerical solutions to the corresponding reaction-diffusion-convection (RDC) problem show that natural convection can change the evolution of the concentration distribution as well as oscillation patterns. The results suggest a new way of perceiving the BZ reaction when it is conducted in CURs. In conflict with the common experience, chemical oscillations are no longer a mere chemical process. Within this framework the evolution of all dynamical observables are demonstrated to converge to the regime imposed by the RDC coupling: chemical and spatial–temporal chaos are genuine manifestations of the same phenomenon.

Item Type:Article
ID Code:5984
Uncontrolled Keywords:Chemical chaos, spatial–temporal chaos, reaction–diffusion–convection system, Belousov–Zhabotinsky reaction
Subjects:Area 03 - Scienze chimiche > CHIM/02 Chimica fisica
Divisions:002 Altri enti e centri di ricerca del Nord Sardegna > INSTM-Consorzio Interuniversitario Nazionale per la Scienza e la Tecnologia dei Materiali, Unità di ricerca di Sassari
001 Università di Sassari > 01 Dipartimenti > Chimica
Publisher:Cambridge University Press
Copyright Holders:© EDP Sciences, 2010
Deposited On:21 Apr 2011 09:46

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