Turing demonstrated that if the inhibitor diffuses significantly faster than the activator (
𝜕ψ𝜕t=ϵψ−(1+∇2)2ψ−ψ3partial psi over partial t end-fraction equals epsilon psi minus open paren 1 plus nabla squared close paren squared psi minus psi cubed 3. The Complex Ginzburg-Landau Equation (CGLE) pattern formation and dynamics in nonequilibrium systems pdf
Unlike equilibrium statistical mechanics (which relies on minimization of free energy), nonequilibrium systems are defined by the continuous flux of energy or matter. The authors focus on the universal aspects of these systems—why similar patterns appear in Rayleigh-Bénard convection (fluids), chemical reaction-diffusion systems, and granular media. Classic review papers from Reviews of Modern Physics (e
Classic review papers from Reviews of Modern Physics (e.g., Cross and Hohenberg, 1993). Chemical Systems: The Belousov-Zhabotinsky (BZ) Reaction
Rayleigh-Bénard convection occurs when a fluid layer is heated from below and cooled from above.
The book is built around the central paradigm of nonequilibrium physics:
The principles established in physical systems apply directly to complex chemical, biological, and ecological networks. Chemical Systems: The Belousov-Zhabotinsky (BZ) Reaction