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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…
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,…
Leading-Order Auxiliary Field Theory of the Bose-Hubbard Model
John F. Dawson, Fred Cooper, Chih-Chun Chien +1
We discuss the phase diagram of the Bose-Hubbard (BH) model in the leading-order auxiliary field (LOAF) theory. LOAF is a conserving non-perturbative approximation that treats on e…