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Kolmogorov-Sinai entropy for the A+B -> P reaction in transitional flows
KTH, Superseded Departments, Land and Water Resources Engineering.
KTH, Superseded Departments, Land and Water Resources Engineering.
2004 (English)In: Journal of Chemical Physics, ISSN 0021-9606, E-ISSN 1089-7690, Vol. 120, no 14, 6423-6429 p.Article in journal (Refereed) Published
Abstract [en]

We study global decay of the bimolecular reaction A+B-->P as c(t)similar tot(-alpha) in a nonlinear transitional flow. A relationship is established between the decay exponent alpha, and a modified Kolmogorov-Sinai entropy, h(r). We find that for dynamic conditions which induce relatively strong mixing, the decay exponent is alphaproportional toln psi(r)(-Bh) with B being a characteristic reactive mix-down time for the system, and psi is a space-time scaling parameter. Dynamic conditions which imply weak mixing lead to a degenerate dependence of alpha on h(r). The proposed relationship between alpha on h(r) should be a useful link between the dynamical evolution of the flow field and reaction kinetics in vortex dominated flows.

Place, publisher, year, edition, pages
2004. Vol. 120, no 14, 6423-6429 p.
Keyword [en]
2-dimensional vortex interactions, lyapunov exponents, contour dynamics, vorticity
National Category
Chemical Sciences
URN: urn:nbn:se:kth:diva-23279DOI: 10.1063/1.1665578ISI: 000220456400010ScopusID: 2-s2.0-2342508516OAI: diva2:341977
QC 20100525Available from: 2010-08-10 Created: 2010-08-10 Last updated: 2011-10-31Bibliographically approved

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