The three-variable autocatalator exhibits chaotic dynamics in an open system configuration. When the model is modified to include a dissociation reaction of the autocatalytic species, B!X+Y, followed by a recombination reaction, X+Y!C, an unusual sensitivity to initial conditions is displayed. The modified system exhibits an effectively infinite number of asymptotic attractors, some chaotic, so...

A solution containing a reacting, autocatalytic and bistable chemical system can spontaneously form patterns and structure from erstwhile homogenous aqueous reaction solutions. Among some of the patterns formed are concentric rings and thermal plumes. The exothermic chemical reaction fuels the pattern-formation through a coupling of Marangoni and Rayleigh±BeÂnard-type thermogravitatioal effects...

We develop a general model and the associated numerical algorithm to compute the swelling dynamics of chemo-responsive polyelectrolyte gels immersed in a reactive ionic solution kept at a non equilibrium stationary state by a permanent feed of fresh reactants. Using an autocatalytic bistable but nonoscillatory reaction, namely, the bromate-sulfite reaction, we predict that a piece of hydrogel t...

We consider an irreversible autocatalytic conversion reaction A+B-->2A under subdiffusion described by continuous-time random walks. The reactants' transformations take place independently of their motion and are described by constant rates. The analog of this reaction in the case of normal diffusion is described by the Fisher-Kolmogorov-Petrovskii-Piskunov equation leading to the existence of ...

“Ignition/extinction” phenomena and steady-state multiplicity were discovered in an autohumidi$cation polymer electrolyte membrane fuel cell. At steady state, the water produced by the fuel cell reaction is balanced by water removal by the 7owing reactant gas streams. Ignition, corresponding to a high fuel cell current, arises from positive feedback between the water produced by the reaction an...

This work describes a new mechanism for the emergence of oscillatory dynamics driven by interaction hydrodynamic flows and reaction-diffusion processes with no autocatalytic feedback nor prescribed instability involved. To do so, we study an A+ B ? C front in presence chemically-driven Marangoni arbitrary initial concentrations reactants diffusion coefficients all species. All species are assum...

3′,5′-Cyclic GMP spontaneously nonenzymatically polymerizes in a base-catalyzed reaction affording G oligonucleotides. When reacted with fully or partially sequence-complementary RNA (oligo C), the abiotically generated oligo G RNA displays a typical ribozyme activity consisting of terminal ligation accompanied by cleavage of an internal phosphate site of the donor oligonucleotide stem upon att...

A mesoscopic multiparticle collision model for fluid dynamics is generalized to incorporate the chemical reactions among species that may diffuse at different rates. This generalization provides a means to simulate reaction-diffusion dynamics of complex reactive systems. The method is illustrated by a study of cubic autocatalytic fronts. The mesoscopic scheme is able to reproduce the results of...