A physicist whose teaching and research address pattern formation in systems away from equilibrium. His notes on the Turing instability show how a spatially uniform chemical state can resist uniform perturbations yet become unstable when diffusion is included. Linear stability analysis separates the reaction dynamics from the wavelength-dependent effect of diffusion, explaining how a preferred spatial pattern can develop.[ref]
Notes on the Turing Instability and Chemical Instabilities by Michael Cross. Introduction and Turing Instability section: two-component reaction–diffusion equations and linearized modes
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