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