The study of chemical reaction rates or “chemical kinetics” is fundamental to the study of chemistry itself and is intimately connected as well to life’s biochemical and biological processes. Most chemical reactions proceed by a complex mechanism that involves a series of elementary steps and it is often the role of chemical kinetics studies to identify these steps, with one typically expected ...

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...

Kinetic Monte Carlo methods such as the Gillespie algorithm model chemical reactions as random walks in particle number space. The interreaction times are exponentially distributed under the assumption that the system is well mixed. We introduce an arbitrary interreaction time distribution, which may account for the impact of incomplete mixing on chemical reactions, and in general stochastic re...

The model reduction methodology of computational singular perturbation (CSP) is enhanced for chemical kinetics problems. The leading order converged CSP-refined fast basis vectors are obtained analytically by exploiting the special format of the given reaction-specific chemical kinetics data. The leading order net reaction rates of the fast reactions (after they are exhausted) are also obtained...

An accurate prediction of reaction kinetics of silicon nitridation is of great importance in designing procedure of material production and controlling of reaction. The main purpose of the present study is to investigate the effect of temperature on the kinetics of reaction bonded silicon nitride (RBSN) formation. To achieve this, nitrogen diffusion in the silicon nitride layer is considered as...

The HCCI combustion process is initiated due to auto-ignition of fuel/air mixture which is dominated by chemical kinetics and therefore fuel composition has a significant effect on engine operation and a detailed reaction mechanism is essential to analysis HCCI combustion. A single zone-model permits to have a detailed chemical kinetics modeling for practical fuels. In this study a single-zone ...

Chemical reaction networks with generalized mass-action kinetics lead to power-law dynamical systems. As a simple example, we consider the Lotka reactions with two chemical species and arbitrary power-law kinetics. We study existence, uniqueness, and stability of the positive equilibrium, in particular, we characterize its global asymptotic stability in terms of the kinetic orders.