ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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Efimov A. V., Shabunin A. V., Astakhov V. V., Provata A. Chaotic dynamics of chemical reactions in low-dimensional substrates: mean-field and Monte-Carlo approaches. Izvestiya VUZ. Applied Nonlinear Dynamics, 2003, vol. 11, iss. 2, pp. 72-80. DOI: 10.18500/0869-6632-2003-11-2-72-80

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Chaotic dynamics of chemical reactions in low-dimensional substrates: mean-field and Monte-Carlo approaches

Efimov Anton Viktorovich, Saratov State University
Shabunin Aleksej Vladimirovich, Saratov State University
Astakhov Vladimir Vladimirovich, Yuri Gagarin State Technical University of Saratov
Provata Astero, National Centre of Scientific Research "Demokritos"

Complex reactive dynamics оn low-dimensional lattices is studied using mean-field model and Monte-Carlo simulation. We consider four-species cyclic chemical reactions оn one- аnd two-dimensional catalytic supports. The resulted mean-field model is conservative. Depending оn parameters it shows quasi-periodic оr chaotic oscillations. One-dimensional lattice does not demonstrate oscillating behavior due to the geometric restrictions. Lattice Monte-Carlo simulations оn two-dimensional lattices show locally emergence оf chaotic oscillations which are resulted from complex motions and interactions of clusters оf homogeneous species. The properties оf the oscillations depends оп the size оf the lattice. 

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The authors acknowledge support by NАТО Collaborative Linkage Grant PST.CLG. 977654. A.E., A.S and V.A. would like to acknowledge support from Civilian Research & Development Foundation (Grant REC-006).
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