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Composite Bound States and Broken U(1) symmetry in the Chemical Master Equation derivation of the Gray-Scott Model
Fred Cooper, Gourab Ghoshal, Juan Pérez-Mercader
We give a first principles derivation of the stochastic partial differential equations that describe the chemical reactions of the Gray-Scott model (GS): $U+2V {\stackrel λ{\righta…
Parametric pattern selection in a reaction-diffusion model
Michael Stich, Gourab Ghoshal, Juan Pérez-Mercader
We compare spot patterns generated by Turing mechanisms with those generated by replication cascades, in a model one-dimensional reaction-diffusion system. We determine the stabili…
Internal composite bound states in deterministic reaction diffusion models
Fred Cooper, Gourab Ghoshal, Alec Pawling +1
By identifying potential composite states that occur in the Sel'kov-Gray-Scott (GS) model, we show that it can be considered as an effective theory at large spatio-temporal scales,…