Noisy-flow-induced instability in a reaction-diffusion system.
basic_science · Level V
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- Record sourced from PubMed, PMID 28085378.
- Also identified by DOI 10.1103/PhysRevE.94.062217.
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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.