Belousov-Zhabotinskyreaction
MarcoMazzottiModelingandmathematicalmethods
FS2018
Experimentalevidence(Cerium)• Malonicacidoxidationbybromateinacidicsolution,catalyzedbya
metalion(Ce4+)• Longseriesofoscillationsintheconcentrationoftheintermediate
species(withachromaticeffect)• Themainreactantsareirreversiblyconsumed(butveryslowly)• Finally,theoscillationsvanishandchemicalequilibriumis
monotonicallyapproached
Chemistry
Experimentalevidence(ferroin)
Detailedmechanism
Detailedmechanism–Inorganicsubset
Detailedmechanism–Radicalsandorganicspecies
Mechanismoftheoscillations
Mechanismoftheoscillations
Mechanismoftheoscillations
r1 = k1 H+!" #$2BrO3
−!" #$ Br−!" #$
r2 = k2 H+!" #$ HBrO2[ ] Br−!" #$
r3 = k3 H+!" #$ HBrO2[ ] BrO3
−!" #$
r4 = k4 HBrO2[ ]2
r5 = k5 Ce4+!" #$ MA[ ]
Kineticscheme:Oregonator
Kineticscheme:Oregonator
Oregonator(dimensionless)
εdxdτ
= qay− xy+ax − x2
δdydτ
= −qay− xy+ fbz
dzdτ
= ax −bz
ε = 0.12 δ = 0.0006 q = 0.0008 f = varying parameter ≈ 1 a,b = constant
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