We discuss a model for the autocatalytic reaction A + B → 2A on substrates where the reactants perform a compact exploration of the space, i.e., on lattices whose spectral dimensioñ d is < 2. For finite systems, the total time τ for the reaction to end scales according to two different regimes, for high and low concentrations of reactants. The functional dependence of τ on the volume of the sub...

Recent kinetic studies are discussed that shed light on the reaction mechanism of the autocatalytic addition of diisopropylzinc to pyrimidine carbaldehydes (Soai reaction). Soai’s reaction stands for the exclusive example of chirally autocatalytic reaction system in organic chemistry and has attracted close attention from several viewpoints: as possible account for the origin of biomolecular ho...

We investigate which general results concerning the local stability of steady states of arbitrary chemical reaction networks can be deduced with the Glansdorff–Prigogine stability criterion. Especially, it is proven that the presence of an autocatalytic reaction is not a necessary condition for a violation of the thermodynamic stability condition. It turns out that every reaction with at least ...

The autocatalytic photochemical reaction, which is potentially controlled by any selected nucleic acid, is highly sequence specific and not inhibited by its products, was developed. This reaction generates colored and fluorescent products, which can be monitored by the naked eye.

BACKGROUND A central unsolved problem in early evolution concerns self-organization towards higher complexity in chemical reaction networks. In theory, autocatalytic sets have useful properties to help model such transitions. Autocatalytic sets are chemical reaction systems in which molecules belonging to the set catalyze the synthesis of other members of the set. Given an external supply of st...

Background: Autocatalytic sets are often considered a necessary (but not sufficient) condition for the origin and early evolution of life. Although the idea of autocatalytic sets was already conceived of many years ago, only recently have they gained more interest, following advances in creating them experimentally in the laboratory. In our own work, we have studied autocatalytic sets extensive...

During the homogeneous-heterogeneous autocatalytic chemical reaction in the dynamics of micropolar fluid, relaxation of heat transfer is inevitable; hence Cattaneo-Christov heat flux model is investigated in this report. In this study, radiative heat flux through an optically thick medium is treated as nonlinear due to the fact that thermal radiation at low heat energy is distinctly different f...