Spot deformation and replication in the two-dimensional Belousov-Zhabotinski reaction in water-in-oil microemulsion

Details Spot deformation and replication in the two-dimensional Belousov-Zhabotinski reaction in water-in-oil microemulsion Spot deformation and replication in the two-dimensional Belousov-Zhabotinski reaction in water-in-oil microemulsion

2006-07-20

arxiv.org/abs/nlin/0607048v2

Nonlinear Sciences

Pattern Formation and Solitons

To appear, PRL

Scientific paper

10.1103/PhysRevLett.98.188303

In the limit of large diffusivity ratio, spot-like solutions in the two-dimensional Belousov-Zhabotinski reaction in water-in-oil microemulsion are studied. It is shown analytically that such spots undergo an instability as the diffusivity ratio is decreased. An instability threshold is derived. For spots of small radius, it is shown that this instability leads to a spot splitting into precisely two spots. For larger spots, it leads to deformation, fingering patterns and space-filling curves. Numerical simulations are shown to be in close agreement with the analytical predictions.

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