Reaction Kinetics in a Tight Spot

Reaction kinetics in a tight spot.

The standard analysis of reaction networks based on deterministic rate equations fails in confined geometries, commonly encountered in fields such as astrochemistry, thin-film growth and cell biology. In these systems the small reactant population implies anomalous behavior of reaction rates, which can be accounted for only by following the full distribution of reactant numbers.

Reaction Kinetics in Polymer Melts

We study the reaction kinetics of end-functionalized polymer chains dispersed in an unreactive polymer melt. Starting from an infinite hierarchy of coupled equations for many-chain correlation functions, a closed equation is derived for the 2nd order rate constant k after postulating simple physical bounds. Our results generalize previous 2-chain treatments (valid in dilute reactants limit) by ...

Reaction Kinetics in Restricted Spaces

Reactions in restricted spaces rarely get stirred vigorously by convection and are thus controlled by diffusion. Furthermore, the compactness of the Brownian motion leads to both anomalous diffusion and anomalous reaction kinetics. Elementary binary reactions of the type A + A + Products, A + B + Products, and A + C + C + Products are discussed theoretically for both batch and steady-state cond...

Diffusion-Controlled Reaction Kinetics

3 Reaction Kinetics

Determination of the Rate Expression and Prediction of Reaction Progress for Irreversible Reactions 12 Integral Methods: Rates Dependent on a Single Constituent 12 Integral Methods: Rates Dependent on a Multiple Constituents 24 Differential Methods 30 Characteristic Reaction Times 32 Analysis of Multiple Simultaneous Reactions 36 Reversible Reactions 36 Reversibility of Reactions and its Relati...