Affan H, Friedrich R
RIMS Group, Physics Department, COMSATS Institute of Information Technology, Islamabad, Pakistan and Institute for Theoretical Physics, University of Muenster, Muenster, Germany.
Institute for Theoretical Physics, University of Muenster, Muenster, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Jun;89(6):062920. doi: 10.1103/PhysRevE.89.062920. Epub 2014 Jun 23.
This paper comprises numerical and theoretical studies of spatiotemporal patterns in advection-reaction-diffusion systems in which the chemical species interact with the hydrodynamic fluid. Due to the interplay between the two, we obtained the spiral defect chaos in the activator-inhibitor-type model. We formulated the generalized Swift-Hohenberg-type model for this system. Then the evolution of fractal boundaries due to the effect of the strong nonlinearity at the interface of the two chemical species is studied numerically. The purpose of the present paper is to point out that spiral defect chaos, observed in model equations of the extended Swift-Hohenberg equation for low Prandtl number convection, may actually be obtained also in certain advection-reaction-diffusion systems.
