title: Noisy-flow-induced instability in a reaction-diffusion system.
abstract: We consider a generic reaction-diffusion-advection system where the flow velocity of the advection term is subjected to dichotomous noise with zero mean and Ornstein-Zernike correlation. A general condition for noisy-flow-induced instability is derived in the flow velocity-correlation rate parameter plane. Full numerical simulations on Gierer-Meinhardt model with activator-inhibitor kinetics have been performed to show how noisy differential flow can lead to symmetry breaking of a homogeneous stable state in the presence of noise resulting in traveling waves.
authors.affiliation: Indian Association for the Cultivation of Science, Jadavpur, Kolkata-700032, India.
authors.forename: Shibashis
authors.initials: S
authors.lastname: Paul
authors.affiliation: Indian Association for the Cultivation of Science, Jadavpur, Kolkata-700032, India.
authors.forename: Shyamolina
authors.initials: S
authors.lastname: Ghosh
authors.affiliation: Indian Association for the Cultivation of Science, Jadavpur, Kolkata-700032, India.
authors.forename: Deb Shankar
authors.initials: DS
authors.lastname: Ray