Emergent reaction-diffusion phenomena in capillary tubes

Petteri Kettunen, Tomohiko Yamaguchi, Hajime Hashimoto, Takashi Amemiya, Bettina Steinbock, and Stefan C. Müller

Chaos 16, 037111, 2006, DOI 10.1063/1.2191621.

Abstract: Pattern formation in the Belousov-Zhabotinsky reaction experiments carried out by filling capillary glass tubes with catalyst-immobilized gel for the reaction is reported. Under unperturbed and oscillatory conditions, helicoidal waves appear spontaneously. Quantitative structural data of those helices are obtained by devising an optical tomography technique for extracting rotationally symmetric structures from time-lapse data. Space-time representation of the catalyst oxidation reveals wave transmission phenomenon that is studied further by numerical simulations of a reduced spatial model.
PACS: 05.45.Pq, 05.60.-k, 82.20.-w

Raw computer tomography slices.

[still frames]
A volumetric representation of the computer tomography data.
Simulation of five-variable Oregonator with an open boundary. Preceeding wave leaves a slowly decaying region of [W] (red) in its wake which causes annihilation of the subsequent wave.
Artifact of the FKN model in a closed system