Front explosion in a periodically forced surface reaction
Jörn Davidsen, Alexander Mikhailov, Raymond Kapral
Abstract
Resonantly-forced oscillatory reaction-diffusion systems can exhibit fronts with complicated interfacial structure separating phase-locked homogeneous states. For values of the forcing amplitude below a critical value the front "explodes" and the width of the interfacial zone grows without bound. Such front explosion phenomena are investigated for a realistic model of catalytic CO oxidation on a Pt(110) surface in the 2:1 and 3:1 resonantly-forced regimes. In the 2:1 regime, the fronts are stationary and the front explosion leads to a defect-mediated turbulent state. In the 3:1 resonantly-forced system, the fronts propagate. The front velocity tends to zero as the front explosion point is reached and the final asymptotic state is a 2:1 resonantly-locked labyrinthine pattern. The front dynamics described here should be observable in experiment since the model has been shown to capture essential features of the CO oxidation reaction.
Create a lesson
Related papers
Wedge problems and dispersive shock waves in the two-dimensional Toda lattice
Marco Calabrese, Gino Biondini, Christopher Chong et al.
Numerical Direct Scattering Transform for Dark Solitons
Ilya Mullyadzhanov, Sergey Dremov, Andrey Gelash
Stable rotating vortex clusters in three-dimensional quantum droplets
Liangwei Dong, Yaroslav V. Kartashov
Bifurcation structure and mesa pattern formation in a one-component nonlocal adhesion model with population pressure and degenerate mobility
Shimpei Makida, Hideki Murakawa
Dynamics of Flat-Top--Bubble Vector Solitons
M. O. D. Alotaibi, L. Al Sakkaf, U. Al Khawaja
Dynamics of localized solutions in three core coupled waveguides with quasi-periodic nonlinearity
Bruno M. Miranda, Ardiley T. Avelar, Wesley B. Cardoso et al.